ORIGINAL_ARTICLE
Extension Ability of Reduced Order Model of Unsteady Incompressible Flows Using a Combination of POD and Fourier Modes
In this article, an improved reduced order modelling approach, based on the proper orthogonal decomposition (POD) method, is presented. After projecting the governing equations of flow dynamics along the POD modes, a dynamical system was obtained. Normally, the classical reduced order models do not predict accurate time variations of flow variables due to some reasons. The response of the dynamical system was improved using a calibration method based on a least-square optimization process. The calibration polynomial can be assumed as the pressure correction term which is vanished in projecting the Navier-Stokes equations along the POD modes. The above least- square procedure is a combination of POD method and the solution of an optimization problem. The obtained model can predict accurate time variations of flow field with high speed. For long time periods, the calibration term can be computed using a combined form of POD and Fourier modes. This extension is a totally new extension to this procedure which has recently been proposed by the authors. The results obtained from the calibrated reduced order model show close agreements to the benchmark DNS data, proving high accuracy of our model.
https://jacm.scu.ac.ir/article_13518_5b73e37210ebbc234ad3cdd454b583b8.pdf
2019-01-01
1
12
10.22055/jacm.2018.24099.1171
Proper orthogonal decomposition
Galerkin projection
Reduced order model
Calibration strategy
Incompressible flow
Fourier modes
Mohammad Kazem
Moayyedi
moayyedi@qom.ac.ir
1
Department of Mechanical Eng., School of Engineering, University of Qom, Iran
LEAD_AUTHOR
[1] Couplet, M., Basdevant, C., Sagaut, P., Calibrated Reduced-order POD-Galerkin System for Fluid Flow Modeling, J. Comp. Physics 207, 2005, 192–220.
1
[2] Favier, J., Cordier, L., Kourta, A., Iollo, A., Calibrated POD Reduced-order Models of Massively Separated Flows in the Perspective of Their Control, ASME Joint U.S.-European Fluids Eng. Summer Meeting, Miami, Florida, USA, 2006.
2
[3] Galletti, B., Bruneau C.H., Zannetti L., Iollo, A., Low-order Modeling of Two-dimensional Flow Regimes Past a Confined Squared Cylinder, J. Fluid Mech. 503, 2004, 161-170.
3
[4] Holmes, P., Lumley, J.L., Berkooz, G., Turbulence, Coherent Structures, Dynamical Systems and Symmetry, Cambridge Monographs on Mechanics, Cambridge University Press, 1996.
4
[5] Li, H., Luo, Z., Gao, J., A New Reduced-Order FVE Algorithm Based on POD Method for Viscoelastic Equations, Acta Mathematica Scientia, Vol. 33, Issue 4, 2013, 1076-1098.
5
[6] Chen, J., Han, D., Yu, B., Sun, B., Wei, J., POD-Galerkin reduced-order model for viscoelastic turbulent channel flow, Numerical Heat Transfer, Part B: Fundamentals, 72(3), 2017, 268-283.
6
[7] Moayyedi, M.K., Low-dimensional POD simulation of Unsteady Flow around Bodies with Arbitrary Shapes, PhD Dissertation, Sharif University of Technology, 2009.
7
[8] Moayyedi, M.K., Taeibi-Rahni, M., Sabetghadam, F., Accurate Low-dimensional Dynamical Model for Simulation of Unsteady Incompressible Flows, The 12th Fluid Dynamics Conference, Babol, Iran, 2009.
8
[9] Noack, B.R., Papas, P., Monkewitz, P.A., The Need for a Pressure-term Representation in Empirical Galerkin Models of Incompressible Shear Flows, J. Fluid Mech. 523, 2005, 339-365.
9
[10] Rowely, C.W., Model Reduction for Fluids, Using Balanced Proper Orthogonal Decomposition, Int. J. Bifurcation & Chaos 89, 2005, 110-119.
10
[11] Sabetghadam, F., Jafarpour, A., Ghaffari, S.A., α Regularization of the POD-Galerkin Dynamical System of the Kuramoto-Sivashinsky Equation, Applied Mathematics and Computation 218 (10), 2012, 6012-6026.
11
[12] Sabetghadam, F., Moayyedi, M.K., and Taeibi-Rahni, M., A Fast Approach for Temporal Calibration of Low-dimensional Dynamical Model for Simulation of Unsteady Incompressible Flows, The 9th Annual Conference of Iranian Aerospace Society, Science & Research Branch IAU, Tehran, Iran, 2010.
12
[13] Sirisup, S., Karnidakis, G.E., A Spectral Viscosity Method for Correcting the Long Term Behavior of POD Models, J. Comp. Physics 194, 2004, 92-116.
13
[14] Luo, Z., Li, H., Sun, P., Gao, J., A Reduced-order Finite Difference Extrapolation Algorithm based on POD Technique for the non-stationary Navier–Stokes Equations, Applied Mathematical Modelling, 37(7), 2013, 5464-5473.
14
[15] Luo, Z., Proper Orthogonal Decomposition-based Reduced-order Stabilized Mixed Finite Volume Element Extrapolating Model for the Non-stationary Incompressible Boussinesq equations, J. Mathematical Analysis and Applications, 425(1), 2015, 259-280.
15
[16] Moayyedi, M.K., Calibration of Reduced Order POD Model of Unsteady Incompressible Laminar Flow Using Pressure Representation as a Function of Velocity Field Modes, Tabriz University Journal of Mechanical Engineering, 48(2), 2018, 349-358.
16
ORIGINAL_ARTICLE
Free Convection Flow and Heat Transfer of Nanofluids of Different Shapes of Nano-Sized Particles over a Vertical Plate at Low and High Prandtl Numbers
In this paper, free convection flow and heat transfer of nanofluids of differently-shaped nano-sized particles over a vertical plate at very low and high Prandtl numbers are analyzed. The governing systems of nonlinear partial differential equations of the flow and heat transfer processes are converted to systems of nonlinear ordinary differential equation through similarity transformations. The resulting systems of fully-coupled nonlinear ordinary differential equations are solved using a differential transformation method - Padé approximant technique. The accuracy of the developed approximate analytical methods is verified by comparing the results of the differential transformation method - Padé approximant technique with those of previous works as presented in the literature. Thereafter, the analytical solutions are used to investigate the effects of the Prandtl number, the nanoparticles volume-fraction, the shape and the type on the flow and heat transfer behaviour of various nanofluids over the flat plate. It is observed that as the Prandtl number and volume-fraction of the nanoparticles in the basefluid increase, the velocity of the nanofluid decreases while the temperature increases. Also, the maximum decrease in velocity and the maximum increase in temperature are recorded in lamina-shaped nanoparticles, followed by platelets, cylinders, bricks, and sphere-shaped nanoparticles, respectively. Using a common basefluid for all nanoparticle types, it is established that the maximum decrease in velocity and the maximum increase in temperature are recorded in TiO2 followed by CuO, Al2O3 and SWCNTs nanoparticles, respectively. It is hoped that the present study will enhance the understanding of free convection boundary-layer problems as applied in various industrial, biological and engineering processes.
https://jacm.scu.ac.ir/article_13519_57e990226d04a793e5a70b45d027606e.pdf
2019-01-01
13
39
10.22055/jacm.2018.24529.1196
Free convection
Boundary layer
Prandtl number
Nanofluid
Differential transformation method
Padé-approximant technique
Gbeminiyi
Sobamowo
mikegbeminiyi@gmail.com
1
Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria
LEAD_AUTHOR
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[25] M. Sheikholeslami, S.A. Shehzad. CVFEM for influence of external magnetic source on Fe3O4-H2O nanofluid behavior in a permeable cavity considering shape effect, International Journal of Heat and Mass Transfer 115(A) (2017) 180-191
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[29] M. Sheikholeslami, T. Hayat, A. Alsaedi. On simulation of nanofluid radiation and natural convection in an enclosure with elliptical cylinders. International Journal of Heat and Mass Transfer 115(A) (2017) 981-991
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[30] M. Sheikholeslami, Houman B. Rokni. Melting heat transfer influence on nanofluid flow inside a cavity in existence of magnetic field. International Journal of Heat and Mass Transfer 114 (2017) 517-526
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[31] M. Sheikholeslami, M.K. Sadoughi. Simulation of CuO-water nanofluid heat transfer enhancement in presence of melting surface. International Journal of Heat and Mass Transfer 116 (2018) 909-919
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38
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52
ORIGINAL_ARTICLE
A Comparative Analysis of TLCD-Equipped Shear Buildings under Dynamic Loads
This study targets the behavior of shear buildings equipped with tuned liquid column dampers (TLCD) which attenuate dynamic load-induced vibrations. TLCDs are a passive damping system used in tall buildings. This kind of damper has proven to be very efficient, being an excellent alternative to mass dampers. A dynamic analysis of the structure-damper system was made using the software DynaPy, developed in the research process. The software solves the equations of motion through numeric integration using the central differences method. The simulations results obtained with DynaPy showed that the use of TLCD can reduce the dynamic response significantly for both harmonic excitations and random excitations.
https://jacm.scu.ac.ir/article_13520_c85bc498abc7eebf4057434ce9af16eb.pdf
2019-01-01
40
45
10.22055/jacm.2018.24779.1212
TLCD
Structure dynamics
DynaPy
Numeric integration
Mario
Freitas
mariofreitas.enc@gmail.com
1
University of Brasilia, Department of Civil and Environmental Engineering Campus Darcy Ribeiro, Brasilia-DF, 70919-970, Brazil
LEAD_AUTHOR
Lineu
Pedroso
lineu@unb.br
2
University of Brasilia, Department of Civil and Environmental Engineering Campus Darcy Ribeiro, Brasilia-DF, 70919-970, Brazil
AUTHOR
[1] Blevins, R., Flow-Induced Vibration, Krieger Publishing Company, 1990.
1
[2] Chopra, A., Dynamics of Structures Theory and Application to Earthquake Engineering, Prentice Hall, New Jersey, 1995.
2
[3] Clough, R., Penzin, J., Dynamics of Structures, Computers and Structures, Incorporated, Berkeley, 2003.
3
[4] French, A., Vibrações e Ondas, Editora Universidade de Brasília, Brasília, 2001.
4
[5] Naudascher, E., Rockwell, D., Flow-Induced Vibrations: An Engineering Guide, Dover, 2005.
5
[6] Pedroso, L., Publicação Didática (Parte I) – Introdução a Dinâmica de Estruturas, University of Brasília, 2000.
6
[7] Pedroso, L., Interação Fluido-Estrutura (Notas de Aula e Apostila Interna de Curso); versão preliminar, University of Brasília, 2003.
7
[8] Pedroso, L., Formulação das Equações de Movimento e Determinação das Frequências Naturais para SS1GL, University of
8
[9] Tedesco, J., McDougal, W., Ross, C., Structural Dynamics: Theory and Applications, Addison Wesley Longman, 1999.
9
[10] Baleandra, T., Wang, C. M., Rakesh, G., Effectiveness of TLCD on various structural systems, Engineering Structures, 21, 1999, 291-305.
10
[11] Freitas, M. R., Pedroso, L. J., Rotinas Computacionais em Python para o Estudo do Compotamento de Amortecedores de Líquido Sintonizado na Atenuação de Vibrações em Estruturas, Revista Interdisciplinar de Pesquisa em Engenharia, 2(26), 2016, 1-6.
11
[12] Freitas, M., Rotinas Análise Dinâmica de Edifícios Equipados com Amortecedores de Líquido Sintonizado ASsistida pelo Software DynaPy, Undergraduate Thesis, Department of Civil and Environmental Engineering, University of Brasília, Brasília, Brazil, 2017.
12
[13] Gao, H., Kwok, K. C. S., Samali, B., Optimization of tuned liquid, Engineering Structures, 19(6), 1996, 476-486.
13
[14] Kenny, A., Broderick, B., McCrum, D. P., Optimization of a Tuned Liquid Column Damper for Building Structures, Recent Advances in Structural Dynamics, Pisa, Italy, 2013.
14
[15] Pedroso, L., Analogia Mecânica para um Estudo de uma Coluna Oscilante de Fluido Incompressível Comportando Efeitos de Rigidez e Dissipação, University of Brasília, 1992.
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[16] Pestana, I. G., Controlo de Vibrações em Engenharia Civil - Amortecedor de Colunas de Líquido Sintonizado, Undergraduate Thesis, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Lisboa, Portugal, 2012.
16
[17] Shum, K. M., Xu, Y. L., Guo, W. H., Wind-induced vibration control of long span cable-stayed bridges using multiple pressurized tuned liquid column dampers, Journal of Wind Engineering and Industrial Aerodynamics, 96, 2008, 166-192.
17
ORIGINAL_ARTICLE
Free Vibration Analysis of Quintic Nonlinear Beams using Equivalent Linearization Method with a Weighted Averaging
In this paper, the equivalent linearization method with a weighted averaging proposed by Anh (2015) is applied to analyze the transverse vibration of quintic nonlinear Euler-Bernoulli beams subjected to axial loads. The proposed method does not require small parameter in the equation which is difficult to be found for nonlinear problems. The approximate solutions are harmonic oscillations, which are compared with the previous analytical solutions and the exact solutions. Comparisons show the accuracy of the present solutions. The impact of nonlinear terms on the dynamical behavior of beams and the effect of the initial amplitude on frequencies of beams are investigated. Furthermore, the effect of the axial force and the length of beams on frequencies are studied.
https://jacm.scu.ac.ir/article_13523_dffc78f65cec62c8c4bc959013fe8636.pdf
2019-01-01
46
57
10.22055/jacm.2018.24919.1217
Equivalent linearization method
Weighted averaging
Non-linear vibration
Euler-Bernoulli beam
Dang
Hieu
hieudv@tnut.edu.vn
1
Thai Nguyen University of Technology, Thai Nguyen, Viet Nam
LEAD_AUTHOR
N.Q.
Hai
nqhai_hau@yahoo.com
2
Ha Noi Architechtural University, Ha Noi, Viet Nam
AUTHOR
[1] S.A.Q. Siddiqui, M.F. Gonaraghi, G.R. Heppler, Large free vibrations of a beam carrying a moving mass, Int. J. Non-Linear Mech. 38 (2003) 1481–1493.
1
[2] M. Bayat, I. Pakar, M. Bayat, Analytical study on the vibration frequencies of tapered beams, Latin Am. J. Solids Struct. 8 (2011) 149–162.
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[4] H. Zohoor, S.M. Khorsandijou, Generalized nonlinear 3D Euler-Bernoulli beam theory, Iran. J. Sci. Techno. B 32 (2008) 1–12.
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[5] H.M. Sedighi, K.H. Shirazi, A. Reza, J. Zare, Accurate modeling of preload discontinuity in the analytical approach of the nonlinear free vibration of beams, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 226(10) (2012) 2474-2484.
5
[6] H.M. Sedighi, K.H. Shirazi, J. Zare, Novel equivalent function for deadzone nonlinearity: applied to analytical solution of beam vibration using He’s parameter expanding method, Latin Am. J. Solids Struct. 9(2) (2012) 130–138.
6
[7] F.L.F. Miguel, F.L.F. Miguel, K.C.A. Thomas, Theoretical and experimental modal analysis of a cantilever steel beam with a tip mass, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 223 (2009) 1535–1541.
7
[8] A. Barari, H.D. Kaliji, M. Ghadami, G. Domairry, Non-linear vibration of Euler-Bernoulli beams, Latin Am. J. Solids Struct. 8 (2011) 139–148.
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[10] J. Li, H. Hua, The effects of shear deformation on the free vibration of elastic beams with general boundary conditions, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 224 (2010) 71–84.
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[12] H.M. Sedighi, K.H. Shirazi, J. Zare. An analytic solution of transversal oscillation of quintic non-linear beam with homotopy analysis method. International Journal of Non-Linear Mechanics 47 (2012) 777–784.
12
[13] H.M. Sedighi, A. Reza, The effect of quintic nonlinearity on the investigation of transversely vibrating bulked Euler-Bernoulli beams. Journal of Theoretical and Applied Mechanics 51(4) (2013) 959-968.
13
[14] H.M. Sedighi, K.H. Shirazi, A. Noghrehabadi, Application of Recent Powerful Analytical Approaches on the Non-Linear Vibration of Cantilever Beams. International Journal of Nonlinear Sciences and Numerical Simulation 13(7-8) (2012) 487-494.
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[20] H.M. Sedighi, K.H. Shirazi, M.A. Attarzadeh. A study on the quintic nonlinear beam vibrations using asymptotic approximate approaches, Acta Astronautica 91 (2013) 245-250.
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[21] S.J. Liao, A kind of approximate solution technique which does not depend upon small parameters (ii): an application in fluid mechanics, International Journal of Non-linear Mechanics 32 (1997) 815–822.
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[26] N.D. Anh, Dual approach to averaged values of functions: a form for weighting coefficient, Vietnam Journal of Mechanics 37(2) (2015) 145-150.
26
[27] N.D. Anh, N.Q. Hai, D.V. Hieu, The Equivalent Linearization Method with a Weighted Averaging for Analyzing of Nonlinear Vibrating Systems, Latin American Journal of Solids and Structures 14 (2017) 1723-1740.
27
[28] D.V. Hieu, N.Q. Hai, D.T. Hung. Analytical approximate solutions for oscillators with fractional order restoring force and relativistic oscillators. International Journal of Innovative Sciense, Engineering & Technology 4(12) (2017) 28-35.
28
[29] M. Ansari, E. Esmailzadeh, D. Younesian. Internal-external resonance of beams on non-linear viscoelastic foundation traversed by moving load. Nonlinear Dynmic. 61 (2010) 163–182.
29
[30] D. Younesian, H. Askari, Z. Saadatnia, M.K. Yazdi. Frequency analysis of strongly nonlinear generalized Duffing oscillators using He's frequency-amplitude formulation and He's energy balance method. Computers and Mathematics with Applications. 59 (2010) 3222-3228.
30
[31] L. Socha, T.T. Soong. Linearization in Analysis of Nonlinear Stochastic Systems. Applied Mechanics Reviews 44(10) (1991) 399-422.
31
[32] F. Bakhtiari-Nejad, A. Mirzabeigy, M.K. Yazdi. Nonlinear vibrations of beams subjected to axial loads via the coupled homotopy-variational method, National Conference on Mechanical Engineering, Tehran, Iran, 2013.
32
[33] B. Mohammadi, S.A.M. Ghannadpour, M.K. Yazdi. Buckling analysis of micro- and nano-beams based on nonlocal Euler beam theory using Chebyshev polynomials. The 2nd International Conference on Composites: Characterization, Fabrication & Application, Kish Island, Iran, 2010.
33
ORIGINAL_ARTICLE
Some New Existence, Uniqueness and Convergence Results for Fractional Volterra-Fredholm Integro-Differential Equations
This paper demonstrates a study on some significant latest innovations in the approximated techniques to find the approximate solutions of Caputo fractional Volterra-Fredholm integro-differential equations. To this aim, the study uses the modified Adomian decomposition method (MADM) and the modified variational iteration method (MVIM). A wider applicability of these techniques are based on their reliability and reduction in the size of the computational work. This study provides an analytical approximate to determine the behavior of the solution. It proves the existence and uniqueness results and convergence of the solution. In addition, it brings an example to examine the validity and applicability of the proposed techniques.
https://jacm.scu.ac.ir/article_13592_a2346db90ab3114cc04d45a5e52c1fee.pdf
2019-01-01
58
69
10.22055/jacm.2018.25397.1259
Modified Adomian Decomposition Method
Modified Variational Iteration Method
Caputo Fractional Volterra-Fredholm Integro-Differential Equation
Ahmed A.
Hamoud
drahmed985@yahoo.com
1
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004, India
LEAD_AUTHOR
Kirtiwant P.
Ghadle
altafsyhussain@gmail.com
2
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004, India
AUTHOR
[1] Abel, N., Solution de quelques problemes a laided integrales definites, Christiania Grondahl, Norway, 1881, 16-18.
1
[2] Abbaoui, K., Cherruault, Y., Convergence of Adomian’s method applied to nonlinear equations, Mathematical and Computer Modelling 20 (1994) 69-73.
2
[3] Adomian, G., A review of the decomposition method in applied mathematics, Journal of Mathematical Analysis and Applications 135 (1988) 501-544.
3
[4] Alkan, S., Hatipoglu, V., Approximate solutions of Volterra-Fredholm integro-differential equations of fractional order, Tbilisi Mathematical Journal 10(2) (2017) 1-13.
4
[5] AL-Smadi, M., Gumah, G., On the homotopy analysis method for fractional SEIR epidemic model, Research Journal of Applied Sciences, Engineering and Technology 18(7) (2014) 3809-3820.
5
[6] Hamoud, A., Ghadle, K., Usage of the homotopy analysis method for solving fractional Volterra-Fredholm integro-differential equation of the second kind, Tamkang Journal of Mathematics 49(4) (2018) 301-315.
6
[7] Ghorbani, A., Saberi-Nadjafi, J., An effective modification of He’s variational iteration method, Nonlinear Analysis: Real World Applications 10 (2009) 2828-2833.
7
[8] Hamoud, A., Ghadle, K., Bani Issa, M., Giniswamy, Existence and uniqueness theorems for fractional Volterra-Fredholm integro-differential equations, International Journal of Applied Mathematics 31(3) (2018) 333-348.
8
[9] Hamoud, A., Ghadle, K., The approximate solutions of fractional Volterra-Fredholm integro-differential equations by using analytical techniques, Problemy Analiza-Issues of Analysis 7(25) (2018) 41-58.
9
[10] Hamoud, A., Bani Issa, M., Ghadle, K., Existence and uniqueness results for nonlinear Volterra-Fredholm integro -differential equations, Nonlinear Functional Analysis and Applications 23(4) (2018) 797-805.
10
[11] Hamoud, A., Ghadle, K., Modified Adomian decomposition method for solving fuzzy Volterra-Fredholm integral equations, Journal of the Indian Mathematical Society 85(1-2) (2018) 52-69.
11
[12] Ma, X., Huang, C., Numerical solution of fractional integro-differential equations by a hybrid collocation method, Applied Mathematics and Computation 219(12) (2013) 6750-6760.
12
[13] Mittal, R., Nigam, R., Solution of fractional integro-differential equations by Adomian decomposition method, International Journal of Applied Mathematics and Mechanics 4(2) (2008) 87-94.
13
[14] Wazwaz, A., A reliable modification of Adomian decomposition method, Applied Mathematics and Computation 102 (1999) 77-86.
14
[15] Yang, C., Hou, J., Numerical solution of integro-differential equations of fractional order by Laplace decomposition method, WSEAS Transactions on Mathematics 12(12) (2013) 1173-1183.
15
[16] Zhang, X., Tang, B., He, Y., Homotopy analysis method for higher-order fractional integrodifferential equations, Computers & Mathematics with Applications 62(8) (2011) 3194-3203.
16
[17] Zhou, Y., Basic theory of fractional differential equations, Singapore: World Scientific 6 (2014).
17
[18] Zurigat, M., Momani, S., Alawneh, A., Homotopy analysis method for systems of fractional integro-differential equations, Neural, Parallel and Scientific Computations 17 (2009) 169-186.
18
[19] Hamoud, A., Azeez, A., Ghadle, K., A study of some iterative methods for solving fuzzy Volterra-Fredholm integral equations, Indonesian Journal of Electrical Engineering and Computer Science 11(3) (2018) 1228-1235.
19
[20] Salahshour, S., Ahmadian, A., Senu, N., Baleanu, D., Agarwal, P., On analytical solutions of the fractional differential equation with uncertainty: application to the basset problem, Entropy 17 (2015) 885-902.
20
[21] Agarwal, P., Choi, J., Paris, R.B., Extended Riemann-Liouville fractional derivative operator and its applications, Journal of Nonlinear Sciences and Applications 8(5) (2015) 451-466.
21
[22] Tariboon, J., Ntouyas, S.K., Agarwal, P., New concepts of fractional quantum calculus and applications to impulsive fractional q-difference equations, Advances in Difference Equations 19 (2015) 1-18.
22
[23] Zhang, X., Agarwal, P., Liu, Z., Peng, H., The general solution for impulsive differential equations with Riemann-Liouville fractional-order, Open Mathematics 13 (2015) 908-923.
23
[24] Agarwal, P., Choi, J., Fractional calculus operators and their image formulas, Journal of the Korean Mathematical Society 53(5) (2016) 1183-210.
24
[25] Liu, X., Zhang, L., Agarwal, P., Wang, G., On some new integral inequalities of Gronwall-Bellman Bihari type with delay for discontinuous functions and their applications, Indagationes Mathematicae 27(1) (2016) 1-10.
25
[26] Hamoud, A., Ghadle, K., Existence and uniqueness of the solution for Volterra-Fredholm integro-differential equations, Journal of Siberian Federal University. Mathematics & Physics 11(6) (2018) 692-701.
26
[27] Baltaeva, U., Agarwal, P., Boundary–value problems for the third-order loaded equation with noncharacteristic type change boundaries, Mathematical Methods in the Applied Sciences 41(9) (2018) 3307-3315.
27
ORIGINAL_ARTICLE
A Numerical Simulation of Inspiratory Airflow in Human Airways during Exercise at Sea Level and at High Altitude
At high altitudes, the air pressure is much lower than it is at sea level and contains fewer oxygen molecules and less oxygen is taken in at each breath. This requires deeper and rapid breathing to get the same amount of oxygen into the blood stream compared to breathing in air at sea level. Exercises increase the oxygen demand and make breathing more difficult at high altitude. In this study, a numerical simulation of inspiratory airflow in a three-dimensional bifurcating human airways model (third to sixth generation) during exercise at sea level and at high altitude was performed. The computational fluid dynamics (CFD) solver FLUENT was used to solve the governing equations for unsteady airflow in the model. Flow velocity, pressure, and wall shear stress were obtained from the simulations with the two breathing conditions. The result of this study quantitatively showed that performing exercise with a given work rate at high altitude increased inspiratory airflow velocity, pressure, and wall shear stress more than that at sea level in the airway model. The ranges of the airflow fields were also higher at high altitude than sea level. The simulation results showed that there were no significant differences in flowing pattern for the two breathing conditions.
https://jacm.scu.ac.ir/article_13586_4b9888e1232087646ee923cec93335d8.pdf
2019-01-01
70
76
10.22055/jacm.2018.25334.1247
Computational fluid dynamics
Airway model
Flow fields
Exercise
Sea level
High altitude
Numerical simulation
Endalew Getnet
Tsega
endalebdumath2016@gmail.com
1
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee -247667 (Uttarakhand) India
LEAD_AUTHOR
Vinod Kumar
Katiyar
vktmafma20@gmail.com
2
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee -247667 (Uttarakhand) India
AUTHOR
[1] Cibella, F., Cuttitta, G., Kayser, B., Narici, M., Romano, S., Saibene, F., Respiratory mechanics during exhaustive submaximal exercise at high altitude in healthy humans, Journal of Physiology 494 (1996) 881-890.
1
[2] Aiken, M., Altitude Training for Everyone, 2013, https://www.runnersworld.com/race-training/altitude-training-for-everyone.
2
[3] Wehrlin, J.P., Hallén, J., Linear decrease in VO2max and performance with increasing altitude in endurance athletes, European Journal of Applied Physiology 96 (2005) 404-412.
3
[4] Sheel, A.W., MacNutt, M.J., Querido, J.S., The pulmonary system during exercise in hypoxia and the cold, Experimental Physiology 95 (2010) 422-430.
4
[5] Augusto, L.L.X., Lopes, G.C., Gonçalves, J.A.S., A CFD study of deposition of pharmaceutical aerosols under different respiratory conditions, Brazilian Journal of Chemical Engineering 33 (2016) 549-558.
5
[6] Weibel, E.R., Morphometry of the Human Lung. Springer Verlag, New York, 1963.
6
[7] Deng, Q., Ou, C., Chen, J., Xiang, Y., Particle deposition in tracheobronchial airways of an infant, child and adult, Science of the Total Environment 612 (2017) 339-346.
7
[8] Srivastav, V.K., Paul, A.R., Jain, A., Computational fluid dynamics study of airflow and particle transport in third to sixth generation human respiratory tract, International Journal of Emerging Multidisciplinary Fluid Sciences 3(4) (2012) 227-234.
8
[9] Hegedűs, C.J., Baláshá, Z.Y.I., Farkas, Á., Detailed mathematical description of the geometry of airway bifurcations, Respiratory Physiology & Neurobiology 141 (2004) 99-114.
9
[10] Ou, C., Deng, Q., Liu, W., Numerical simulation of particle deposition in obstructive human airways, Journal of Central South University 19 (2012) 609-614.
10
[11] Ou, C., Li, Y., Wei, J., Yen, H.L., Deng, Q., Numerical modeling of particle deposition in ferret airways: A comparison with humans, Aerosol Science and Technology 51(4) (2017) 477-487.
11
[12] Liu, Y., So, R.M.C., Zhang, C.H., Modeling the bifurcating flow in a human lung airway. Journal of Biomechanics 35 (2002) 477-485.
12
[13] Gemci, T., Ponyavin, V., Chen, Y., Chen, H., Collins, R., Computational model of airflow in upper 17 generations of human respiratory tract, Journal of Biomechanics 41 (2008) 2047-2054.
13
[14] Rahimi-Gorji, M., Gorji, T.B., Gorji-Bandpy, M., Details of regional particle deposition and airflow structures in a realistic model of human tracheobronchial airways: two-phase flow simulation. Computers in Biology and Medicine 74 (2017) 1-17.
14
[15] Qi, S., Zhang, B., Teng, Y., Li, J., Yue, Y., Kang, Y., Qian, W., Transient dynamics simulation of airflow in a CT-scanned human airway tree: more or fewer terminal bronchi? Computational and Mathematical Methods in Medicine 2017(3) (2017) 1-14.
15
[16] Elcner, J., Lizal, F., Jedelsky, J., Jicha, M., Chovancova, M., Numerical investigation of inspiratory airflow in a realistic model of the human tracheobronchial airways and a comparison with experimental results, Biomechanics and Modeling in Mechanobiology 15(2) (2016) 447–469.
16
[17] Johnson, T., Biomechanics and Exercise Physiology: Quantitative Modeling, Second edition, CRC press, New York, 2007.
17
ORIGINAL_ARTICLE
Study on Free Vibration and Wave Power Reflection in Functionally Graded Rectangular Plates using Wave Propagation Approach
In this paper, the wave propagation approach is presented to analyze the vibration and wave power reflection in FG rectangular plates based on the first order shear deformation plate theory. The wave propagation is one of the useful methods for analyzing the vibration of structures. This method gives the reflection and propagation matrices that are valuable for the analysis of mechanical energy transmission in devices. It is assumed that the plate has two opposite edges simply supported while the other two edges may be simply supported or clamped. It is the first time that the wave propagation method is used for functionally graded plates. In this study, firstly, the matrices of reflection and propagation are derived. Second, these matrices are combined to provide an exact method for obtaining the natural frequencies. It is observed that the obtained results of the wave propagation method are in a good agreement with the obtained values in literature. At the end, the behavior of reflection coefficients for FG plates are studied for the first time.
https://jacm.scu.ac.ir/article_13595_fbae6fe551ddc6242d5d2a8aa92687c2.pdf
2019-01-01
77
90
10.22055/jacm.2018.25692.1287
Rectangular FG plate
Propagation matrix
Reflection matrix
Vibration analysis
FSDT
Ali
Zargaripoor
alizargaripoor@ut.ac.ir
1
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
Ali Reza
Daneshmehr
daneshmehr@ut.ac.ir
2
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
LEAD_AUTHOR
Mansour
Nikkhah Bahrami
mbahrami@ut.ac.ir
3
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
AUTHOR
[1] Zhao, X., Y. Lee, and K.M. Liew, Free vibration analysis of functionally graded plates using the element-free kp-Ritz method. Journal of sound and Vibration, 319(3-5), 2009, 918-939.
1
[2] El Meiche, N., Tounsi, A., Ziane, N., Mechab, I., Adda.Bediaa, E.A., A new hyperbolic shear deformation theory for buckling and vibration of functionally graded sandwich plate. International Journal of Mechanical Sciences, 53(4), 2011, 237-247.
2
[3] Hosseini-Hashemi, S., Rokni Damavandi Taher, H., Akhavana, H., Omidia, M., Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory. Applied Mathematical Modelling, 34(5), 2010, 1276-1291.
3
[4] Akbaş, Ş.D., Free vibration characteristics of edge cracked functionally graded beams by using finite element method. International Journal of Engineering Trends and Technology, 4(10), 2013, 4590-4597.
4
[5] Thai, H.-T., Vo, T.P., A new sinusoidal shear deformation theory for bending, buckling, and vibration of functionally graded plates. Applied mathematical modelling, 37(5), 2013, 3269-3281.
5
[6] Mahi, A., Tounsi, A., A new hyperbolic shear deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates. Applied Mathematical Modelling, 39(9), 2015, 2489-2508.
6
[7] Akbaş, Ş.D., Free vibration and bending of functionally graded beams resting on elastic foundation. Research on Engineering Structures and Materials, 1(1), 2015, 25-37.
7
[8] Bennoun, M., Houari, M.S.A., Tounsi, A., A novel five-variable refined plate theory for vibration analysis of functionally graded sandwich plates. Mechanics of Advanced Materials and Structures, 23(4), 2016, 423-431.
8
[9] Zhang, L., Lei, Z., Liew, K., Free vibration analysis of functionally graded carbon nanotube-reinforced composite triangular plates using the FSDT and element-free IMLS-Ritz method. Composite Structures, 120, 2015, 189-199.
9
[10] Khorshidi, K., Asgari, T., Fallah, A., Free vibrations analysis of functionally graded rectangular nano-plates based on nonlocal exponential shear deformation theory. Mechanics of Advanced Composite Structures, 2(2), 2015, 79-93.
10
[11] Bellifa, H., BenrahouL, K.H., Hadji, L., Houari, M.S.A., Tounsi, A., Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 38(1), 2016, 265-275.
11
[12] Pradhan, K., Chakraverty, S., Free vibration of functionally graded thin elliptic plates with various edge supports. Structural Engineering and Mechanics, 53(2), 2015, 337-354.
12
[13] Houari, M.S.A., et al., A new simple three-unknown sinusoidal shear deformation theory for functionally graded plates. Steel and Composite Structures, 22(2), 2016, 257-276.
13
[14] Bounouara, F., et al., A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation. Steel and Composite Structures, 20(2), 2016, 227-249.
14
[15] Abdelbari, S., et al., An efficient and simple shear deformation theory for free vibration of functionally graded rectangular plates on Winkler-Pasternak elastic foundations. Wind and Structures, 22(3), 2016, 329-348.
15
[16] Akbaş, Ş.D., Vibration and static analysis of functionally graded porous plates. Journal of Applied and Computational Mechanics, 3(3), 2017, 199-207.
16
[17] Bessaim, A., et al., Buckling analysis of embedded nanosize FG beams based on a refined hyperbolic shear deformation theory. Journal of Applied and Computational Mechanics, 4(3), 2018, 140-146.
17
[18] Fouda, N., T. El-midany, and A. Sadoun, Bending, buckling and vibration of a functionally graded porous beam using finite elements. Journal of Applied and Computational Mechanics, 3(4), 2017, 274-282.
18
[19] Song, M., S. Kitipornchai, and J. Yang, Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets. Composite Structures, 159, 2017, 579-588.
19
[20] Akbaş, Ş.D., Stability of a Non-Homogenous Porous Plate by Using Generalized Differantial Quadrature Method. International Journal of Engineering & Applied Sciences, 9(2), 2017, 147-155.
20
[21] Akbaş, Ş.D., Free vibration of edge cracked functionally graded microscale beams based on the modified couple stress theory. International Journal of Structural Stability and Dynamics, 17(3), 2017, 1750033.
21
[22] Akbaş, Ş.D., Forced vibration analysis of functionally graded nanobeams. International Journal of Applied Mechanics, 9(7), 2017, 1750100.
22
[23] Akbaş, Ş.D., Thermal Effects on the Vibration of Functionally Graded Deep Beams with Porosity. International Journal of Applied Mechanics, 9(5), 2017, 1750076.
23
[24] Akbaş, Ş.D., Forced vibration analysis of functionally graded porous deep beams. Composite Structures, 186, 2018, 293-302.
24
[25] Mace, B., Wave reflection and transmission in beams. Journal of Sound and Vibration, 97(2), 1984, 237-246.
25
[26] Mei, C. Mace, B., Wave reflection and transmission in Timoshenko beams and wave analysis of Timoshenko beam structures. Journal of Vibration and Acoustics, 127(4), 2005, 382-394.
26
[27] Bahrami, M.N., Arani, M.K., Saleh, N.R., Modified wave approach for calculation of natural frequencies and mode shapes in arbitrary non-uniform beams. Scientia Iranica, 18(5), 2011, 1088-1094.
27
[28] Bahrami, A., Ilkhani, M.R., Bahrami, M.N., Wave propagation technique for free vibration analysis of annular circular and sectorial membranes. Journal of Vibration and Control, 21(9), 2015, 1866-1872.
28
[29] Bahrami, A., Teimourian, A. Nonlocal scale effects on buckling, vibration and wave reflection in nanobeams via wave propagation approach. Composite Structures, 134, 2015, 1061-1075.
29
[30] Ilkhani, M., Bahrami, A., Hosseini-Hashemi, S., Free vibrations of thin rectangular nano-plates using wave propagation approach. Applied Mathematical Modelling, 40(2), 2016, 1287-1299.
30
[31] Bahrami, A., Teimourian, A., Study on the effect of small scale on the wave reflection in carbon nanotubes using nonlocal Timoshenko beam theory and wave propagation approach. Composites Part B: Engineering, 91, 2016, 492-504.
31
[32] Bahrami, A., Teimourian, A., Free vibration analysis of composite, circular annular membranes using wave propagation approach. Applied Mathematical Modelling, 39(16), 2015, 4781-4796.
32
[33] Bahrami, A., Teimourian, A., Study on vibration, wave reflection and transmission in composite rectangular membranes using wave propagation approach. Meccanica, 52(1-2), 2017, 231-249.
33
[34] Bahrami, A., Teimourian, A., Small scale effect on vibration and wave power reflection in circular annular nanoplates. Composites Part B: Engineering, 109, 2017, 214-226.
34
[35] Bahrami, A., Free vibration, wave power transmission and reflection in multi-cracked nanorods. Composites Part B: Engineering, 127, 2017, 53-62.
35
[36] Bahrami, A., A wave-based computational method for free vibration, wave power transmission and reflection in multi-cracked nanobeams. Composites Part B: Engineering, 120, 2017, 168-181.
36
[37] Akbaş, Ş.D., Wave propagation analysis of edge cracked circular beams under impact force. PloS One, 9(6), 2014, 100496.
37
[38] Akbas, S.D., Wave propagation of a functionally graded beam in thermal environments. Steel and Composite Structures, 19(6), 2015, 1421-1447.
38
[39] Akbaş, Ş.D., Wave propagation in edge cracked functionally graded beams under impact force. Journal of Vibration and Control, 22(10), 2016, 2443-2457.
39
[40] Shen, H.-S., Nonlinear bending response of functionally graded plates subjected to transverse loads and in thermal environments. International Journal of Mechanical Sciences, 44(3), 2002, 561-584.
40
ORIGINAL_ARTICLE
High Order Compact Finite Difference Schemes for Solving Bratu-Type Equations
In the present study, high order compact finite difference methods is used to solve one-dimensional Bratu-type equations numerically. The convergence analysis of the methods is discussed and it is shown that the theoretical order of the method is consistent with its numerical rate of convergence. The maximum absolute errors in the solution at grid points are calculated and it is shown that the presented methods are efficient and applicable for lower and upper solutions.
https://jacm.scu.ac.ir/article_13596_d3de3c9e0bf843b351e151cea5181401.pdf
2019-01-01
91
102
10.22055/jacm.2018.25696.1288
Bratu-type equations
Compact finite difference methods
Lower and upper solutions
Convergence
Raziyeh
Gharechahi
r.gharechahi_64@yahoo.com
1
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
AUTHOR
Maryam
Arab Ameri
arabameri@math.usb.ac.ir
2
Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
LEAD_AUTHOR
Morteza
Bisheh-Niasar
mbisheh@kashanu.ac.ir
3
Department of Applied Mathematics, Faculty of Mathematical Science, University of Kashan, Kashan, Iran
AUTHOR
[1] J. Jacobsen, K. Schmitt, The Liouville-Bratu-Gelfand problem for radial operators, J. Differ. Equ. 184 (2002) 283-298.
1
[2] R. Buckmire, Investigations of nonstandard Mickens-type finite-difference schemes for singular boundary value problems in cylindrical or spherical coordinates, Numer. Methods Partial Differ. Equ. 19 (2003) 380-398.
2
[3] D.A. Frank-Kamenetski, Diffusion and heat exchange in chemical kinetics, Princeton University Press, Princeton, NJ, 2015.
3
[4] J.P. Boyd, Chebyshev polynomial expansions for simultaneous approximation of two branches of a function with application to the one-dimensional Bratu equation, Appl. Math. Comput. 143 (2003) 189-200.
4
[5] R. Buckmire, Application of a Mickens finite-difference scheme to the cylindrical BratuGelfand problem, Numer. Methods Partial Differ. Equ. 20 (2004) 327-337.
5
[6] J.S. McGough, Numerical continuation and the Gelfand problem, Appl. Math.Comput. 89 (1998) 225-239.
6
[7] A.S. Mounim, B.M. de Dormale, From the fitting techniques to accurate schemes for the Liouville-Bratu-Gelfand problem, Numer. Methods Partial Differ. Equ. 22 (2006) 761-775.
7
[8] M.I. Syam, A. Hamdan, An efficient method for solving Bratu equations, Appl.Math. Comput. 176 (2006) 704-713.
8
[9] S. Li, S.J. Liao, An analytic approach to solve multiple solutions of a strongly nonlinear problem, Appl.Math. Comput. 169 (2005) 854-865.
9
[10] A.M. Wazwaz, Adomian decomposition method for a reliable treatment of the Bratu-type equations, Appl.Math. Comput. 166 (2005) 652-663.
10
[11] J.H. He, Some asymptotic methods for strongly nonlinear equations, Int. J. Mod. Phys. B 20 (2006) 1141-1199.
11
[12] J.H. He, Variational approach to the Bratu’s problem, J. Phys. Conf. Ser. 96 (2008) 012087.
12
[13] S. Liao, Y. Tan, A general approach to obtain series solutions of nonlinear differential equations, Stud. Appl. Math. 119 (2007) 297-354.
13
[14] S.A. Khuri, A new approach to Bratu's problem, Appl. Math. Comput. 147(2004) 131-136.
14
[15] N. Remero, Solving the one dimensional Bratu problem with efficient fourth order iterative methods, SeMA. J. 71 (2015) 1-14.
15
[16] H. Temimi, M. Ben-Romdhane, An iterative finite difference method for solving Bratu's problem, J. Comput. Appl. Math. 292 (2016) 76-82.
16
[17] R. Buckmire, Applications of Mickens finite differences to several related boundary value problems, Advances in the Applications of Nonstandard Finite Difference Schemes (2005) 47-87.
17
[18] O. Ragb, L.F. Seddek, M.S. Matbuly, Iterative differential quadrature solutions for Bratu problem, Comput. Math. Appl. 74 (2017) 249-257.
18
[19] H. Caglar, N. Caglar, M. zer, A. Valaristos, A. N. Anagnostopoulos, B-spline method for solving Bratu's problem, Int. J. Comput. Math. 87 (2010) 1885-1891.
19
[20] R. Jalilian, Non-polynomial spline method for solving Bratu's problem, Comput. Phys. Commun. 181 (2010) 1868-1872.
20
[21] S.N. Jator, V. Manathunga, Block Nystr m type integrator for Bratu's problem, J. Comput. Appl. Math. 327 (2018) 341-349.
21
[22] A. Mohsen, A simple solution of the Bratu problem, Comput. Math. Appl. 67 (2014) 26-33.
22
[23] C.S. Liu, The Lie-Group shooting method for solving multi-dimensional nonlinear boundary value problems, J. Optim. Theory Appl. 152 (2012) 468-495.
23
[24] S. Deniz, N. Bildik, Optimal perturbation iteration method for Bratu-type problems, J. King Saud. Uni. Sci. 30(1) (2016) 3071-3084.
24
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29
ORIGINAL_ARTICLE
On the Buckling Response of Axially Pressurized Nanotubes Based on a Novel Nonlocal Beam Theory
In the present study, the buckling analysis of single-walled carbon nanotubes (SWCNT) on the basis of a new refined beam theory is analyzed. The SWCNT is modeled as an elastic beam subjected to unidirectional compressive loads. To achieve this aim, the new proposed beam theory has only one unknown variable which leads to one equation similar to Euler beam theory and is also free from any shear correction factors. The equilibrium equation is formulated by the nonlocal elasticity theory in order to predict small-scale effects. The equation is solved by Navier’s approach by which critical buckling loads are obtained for simple boundary conditions. Finally, to approve the results of the new beam theory, some available well-known references are compared.
https://jacm.scu.ac.ir/article_13600_3d0648429925e4b3f2e69d49abe4e330.pdf
2019-01-01
103
112
10.22055/jacm.2018.25507.1274
buckling analysis
Single-walled carbon nanotubes
A new refined beam theory
nonlocal elasticity theory
Navier’s approach
Mohammad
Malikan
mohammad.malikan@yahoo.com
1
Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, Mashhad Branch, Iran
LEAD_AUTHOR
[1] M. Pacios Pujadó, Carbon Nanotubes as Platforms for Biosensors with Electrochemical and Electronic Transduction, Springer Heidelberg, (2012), DOI: 10.1007/978-3-642-31421-6.
1
[2] F. Liu, R. M. Wagterveld, B. Gebben, M. J. Otto, P. M. Biesheuvel, H. V. M. Hamelers, Carbon nanotube yarns as strong flexible conductive capacitive electrodes, Colloids and Interface Science Communications, 3 (2014) 9–12.
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[8] K. K. Koziol, D. Janas, E. Brown, L. Hao, Thermal properties of continuously spun carbon nanotube fibres, Physica E: Low-dimensional Systems and Nanostructures, 88 (2017) 104–108.
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[11] T. A. Hilder, J. M. Hill, Modeling the Loading and Unloading of Drugs into Nanotubes, Small, 5 (2009) 300–308.
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[13] A. A. Bhirde, V. Patel, J. Gavard, G. Zhang, A. A. Sousa, A. Masedunskas, R. D. Leapman, R. Weigert, J. S. Gutkind, J. F. Rusling, Targeted Killing of Cancer Cells in Vivo and in Vitro with EGF-Directed Carbon Nanotube-Based Drug Delivery, ACS Nano, 3 (2009) 307–316.
13
[14] M. Malikan, M. Jabbarzadeh, Sh. Dastjerdi, Non-linear Static stability of bi-layer carbon nanosheets resting on an elastic matrix under various types of in-plane shearing loads in thermo-elasticity using nonlocal continuum, Microsystem Technologies, 23 (2017) 2973-2991.
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[15] M. Malikan, Buckling analysis of a micro composite plate with nano coating based on the modified couple stress theory, Journal of Applied and Computational Mechanics, 4 (2018) 1–15.
15
[16] M. Malikan, Analytical predictions for the buckling of a nanoplate subjected to nonuniform compression based on the four-variable plate theory, Journal of Applied and Computational Mechanics, 3 (2017) 218–228.
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[17] X. Yao, Q. Han, The thermal effect on axially compressed buckling of a double-walled carbon nanotube, European Journal of Mechanics A/Solids, 26 (2007) 298–312.
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[18] R. Ansari , R. Gholami , M. Faghih Shojaei , V. Mohammadi , M.A. Darabi, Coupled longitudinal-transverse-rotational free vibration of post-buckled functionally graded first-order shear deformable micro- and nano-beams based on the Mindlin′s strain gradient theory, Applied Mathematical Modelling, 40(23–24) (2016) 9872-9891.
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[19] H. L. Dai , S. Ceballes , A. Abdelkefi , Y. Z. Hong , L. Wang , Exact modes for post-buckling characteristics of nonlocal nanobeams in a longitudinal magnetic field, Applied Mathematical Modelling, 55 (2018) 758-775.
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[20] B. L. Wang, M. Hoffman, A. B. Yu, Buckling analysis of embedded nanotubes using gradient continuum theory, Mechanics of Materials, 45 (2012) 52–60.
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[23] R. Ansari, M. Faghih Shojaei, V. Mohammadi, R. Gholami, H. Rouhi, Buckling and postbuckling of single-walled carbon nanotubes based on a nonlocal Timoshenko beam model, Z. Angew. Math. Mech., 95(9) (2015) 939-951.
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[24] R. Ansari, A. Arjangpay, Nanoscale vibration and buckling of single-walled carbon nanotubes using the meshless local Petrov–Galerkin method, Physica E, 63 (2014) 283–292.
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[25] H.-Sh. Shen, X.-Q. He, D.-Q. Yang, Vibration of thermally postbuckled carbon nanotube-reinforced composite beams resting on elastic foundations, International Journal of Non-Linear Mechanics, 91 (2017) 69-75.
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[27] Y.-Z. Wang, Y.-S. Wang, L.-L. Ke, Nonlinear vibration of carbon nanotube embedded in viscous elastic matrix under parametric excitation by nonlocal continuum theory, Physica E: Low-dimensional Systems and Nanostructures, 83 (2016) 195-200.
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[28] R. Ansari, R. Gholami, S. Sahmani, Prediction of compressive post-buckling behavior of single-walled carbon nanotubes in thermal environments, Applied Physics A, 113 (2013) 145-153.
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[29] R. Ansari, R. Gholami, S. Ajori, Torsional vibration analysis of carbon nanotubes based on the strain gradient theory and molecular dynamic simulations, Journal of Vibration and Acoustics, 135 (2013) 051016.
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37
[38] M. Malikan, Electro-mechanical shear buckling of piezoelectric nanoplate using modified couple stress theory based on simplified first order shear deformation theory, Applied Mathematical Modelling, 48 (2017) 196–207.
38
[39] R. P. Shimpi, Refined Plate Theory and Its Variants, AIAA Journal, 40 (2002) 137-146.
39
[40] M. Malikan, Temperature influences on shear stability a nanosize plate with piezoelectricity effect, Multidiscipline Modeling in Materials and Structures, 14 (2017) 125-142.
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[41] M. Malikan, M. N. Sadraee Far, (2018), Differential quadrature method for dynamic buckling of graphene sheet coupled by a viscoelastic medium using neperian frequency based on nonlocal elasticity theory, Journal of Applied and Computational Mechanics, 4(3) (2018) 147-160.
41
[42] M. Malikan, V. B. Nguyen, Buckling analysis of piezo-magnetoelectric nanoplates in hygrothermal environment based on a novel one variable plate theory combining with higher-order nonlocal strain gradient theory, Physica E: Low-dimensional Systems and Nanostructures, 102 (2018) 8-28.
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49
ORIGINAL_ARTICLE
Topology Optimization of the Thickness Profile of Bimorph Piezoelectric Energy Harvesting Devices
Due to developments in additive manufacturing, the production of piezoelectric materials with complex geometries is becoming viable and enabling the manufacturing of thicker harvesters. Therefore, in this study a piezoelectric harvesting device is modelled as a bimorph cantilever beam with a series connection and an intermediate metallic substrate using the plain strain hypothesis. On the other hand, the thickness of the harvester’s piezoelectric material is structurally optimized using a discrete topology optimization method. Moreover, different optimization parameters are varied to investigate the algorithm’s convergence. The results of the optimization are presented and analyzed to examine the influence of the harvester's geometry and its different substrate materials on the harvester’s energy conversion efficiency.
https://jacm.scu.ac.ir/article_13608_7e977a842a6a30c126744c8052e8de21.pdf
2019-01-01
113
127
10.22055/jacm.2018.25097.1228
Piezoelectric
Harvester
Structural optimization
Breno Vincenzo
de Almeida
breno_dealmeida@hotmail.com
1
School of Mechanical Engineering, Department of Computational Mechanics, University of Campinas, Cidade Universitria Zeferino Vaz - Barao Geraldo, 13083-970, Campinas, Sao Paulo, Brazil
LEAD_AUTHOR
Renato
Pavanello
pava@fem.unicamp.br
2
School of Mechanical Engineering, Department of Computational Mechanics, University of Campinas, Cidade Universitria Zeferino Vaz - Barao Geraldo, 13083-970, Campinas, Sao Paulo, Brazil
AUTHOR
[1] Lippmann, G., Principe de la conservation de l’électricité, ou second principe de la théorie des phénomènes électriques, Journal de Physique Théorique et Appliquée, 10(1) (1881) 381-394.
1
[2] Erturk, A., Inman, D. J., Piezoelectric Energy Harvesting, John Wiley & Sons, 2011.
2
[3] Nelli Silva, E. C., Kikuchi, N., Design of piezocomposite materials and piezoelectric transducers using topology optimization-Part III, Archives of Computational Methods in Engineering, 6(4) (1999) 305-329.
3
[4] Bendsoe, M. P., Sigmund, O., Topology Optimization: Theory, Models, and Aplications, Springer, 2013.
4
[5] Steven, G. P., Xie, Y. M., Evolutionary Stuctural Optimization, Springer, 2014.
5
[6] Huang, X., Xie, M., Evolutionary Topology Optimization of Continuum Structures: Methods and Applications, Wiley, 2010.
6
[7] Vicente, W. M., Picelli, R., Pavanello, R., Xie, Y. M., Topology optimization of frequency responses of fluid-structure interaction systems, Finite Elements in Analysis and Design, 98 (2015) 1-13.
7
[8] Azevedo, F., Picelli, R., Vicente, W., Pavanello, R., A bi-directional evolutionary topology optimization method applied for acoustic mufflers design, EngOpt 5th International Conference on Engineering Optimization, Iguassu Falls, Brazil, 2016.
8
[9] Picelli, R., Vicente, W. M., Pavanello, R., Xie, Y. M., Evolutionary topology optimization for natural frequency maximization problems considering acoustic-structure interaction, Finite Elements in Analysis and Design, 106 (2015) 56-64.
9
[10] Sigmund, O., Torquato, S., Aksay, I. A., On the design of 1-3 piezocomposites using topology optimization, Journal of Materials Research, 13(4) (1998) 1038-1048.
10
[11] Carlos Emilio Nelli Silva, Ono Fonseca, J. S., de Espinosa, F. Montero, Crumm, A. T., Brady, G. A., Halloran, J. W., Kikuchi, N., Design of piezocomposite materials and piezoelectric transducers using topology optimization-Part I, Archives of Computational Methods in Engineering, 6(2) (1999) 117-182.
11
[12] Donoso, A., Sigmund, O., Optimization of piezoelectric bimorph actuators with active damping for static and dynamic loads, Structural and Multidisciplinary Optimization, 38(2) (2008) 171-183.
12
[13] Zheng, B., Chang, C.-J., Gea, H. C., Topology optimization of energy harvesting devices using piezoelectric materials, Structural and Multidisciplinary Optimization, 38(1) (2008) 17-23.
13
[14] Noh, J. Y., Yoon, G. H., Topology optimization of piezoelectric energy harvesting devices considering static and harmonic dynamic loads, Advances in Engineering Software, 53 (2012) 45-60.
14
[15] Lin, Z. Q., Gea, H. C., Liu, S. T., Design of piezoelectric energy harvesting devices subjected to broadband random vibrations by applying topology optimization, Acta Mechanica Sinica, 27(5) (2011) 730.
15
[16] Kiyono, C. Y., Silva, E. C. N., Reddy, J. N., Optimal design of laminated piezocomposite energy harvesting devices considering stress constraints, International Journal for Numerical Methods in Engineering, 105(12) (2016) 883-914.
16
[17] Chen, Z., Song, X., Lei, L., Chen, X., Fei, C., Chiu, C. T., Qian, X., Ma, T., Yang, Y., Shung, K., Chen, Y., Zhou, Q., 3D printing of piezoelectric element for energy focusing and ultrasonic sensing, Nano Energy, 27 (2016) 78-86.
17
[18] Kim, K., Zhu, W., Qu, X., Aaronson, C., McCall, W. R., Chen, S., Sirbuly, D. J., 3D Optical Printing of Piezoelectric Nanoparticle-Polymer Composite Materials, ACS Nano, 8(10) (2014) 9799-9806.
18
[19] Bodkhe, S., Turcot, G., Gosselin, F. P., Therriault, D., One-Step Solvent Evaporation-Assisted 3D Printing of Piezoelectric PVDF Nanocomposite Structures, ACS Applied Materials & Interfaces, 9(24) (2017) 20833-20842.
19
[20] IEEE Standard on piezoelectricity, ANSI/IEEE Std 176-1987, 1988.
20
[21] Cook, R. D., Malkus, D. S., Plesha, M. E., Witt, R. J., Concepts and applications of finite element analysis, Wiley, 2001.
21
ORIGINAL_ARTICLE
Buckling and Postbuckling of Concentrically Stiffened Piezo-Composite Plates on Elastic Foundations
This research presents the modeling and analysis for the buckling and postbuckling behavior of sandwich plates under thermal and mechanical loads. The lay-up configurations of plates are laminated composite with concentric stiffener and surface mounted piezoelectric actuators. The plates are in contact with a three-parameter elastic foundation including softening and/or hardening nonlinearity. Several types of grid shapes of stiffeners are studied such as ortho grid, angle grid, iso grid, and orthotropic grid. The equations of structures are formulated based on the classical lamination theory incorporating nonlinear von-Karman relationships. The stress function and Galerkin procedure are applied to derive explicit formulations of the equilibrium paths. New results are introduced to give the influences of voltage through the thickness of piezoelectric actuators, different stiffeners, and nonlinear elastic foundations.
https://jacm.scu.ac.ir/article_13630_08aa32c1a82ba53dd4923b967c57a6d7.pdf
2019-01-01
128
140
10.22055/jacm.2018.25539.1277
Buckling
Composite
Stiffener
Piezoelectric
Foundation
Mehdi
Bohlooly
mehdi.bohlooly@gmail.com
1
Aircraft Research Centre, Tehran, Iran
AUTHOR
Keramat
Malekzadeh Fard
kmalekzadeh@mut.ac.ir
2
Department of Structural Engineering and Simulation, Aerospace Research Institute, Malek Ashtar University of Technology, Tehran, Iran
LEAD_AUTHOR
[1] G. Li, J. Cheng, A generalized analytical modeling of grid stiffened composite structures, J. Compos. Mater. 41(24) (2007) 2939-2969.
1
[2] H.-J. Chen, S.W. Tsai, Analysis and optimum design of composite grid structures, J. Compos. Mater. 30(4) (1996) 503-534.
2
[3] E. Wodesenbet, S. Kidane, S.-S. Pang, Optimization for buckling loads of grid stiffened composite panels, Compos. Struct. 60(2) (2003) 159-169.
3
[4] M. Hemmatnezhad, G. Rahimi, R. Ansari, On the free vibrations of grid-stiffened composite cylindrical shells, Acta Mech. 225(2) (2014) 609-623.
4
[5] M. Hemmatnezhad, G. Rahimi, M. Tajik, F. Pellicano, Experimental, numerical and analytical investigation of free vibrational behavior of GFRP-stiffened composite cylindrical shells, Compos. Struct. 120 (2015) 509-518.
5
[6] A. Talezadehlari, G. Rahimi, Comment on “Optimization for buckling loads of grid stiffened composite panels”, Compos. Struct. 135 (2016) 409-410.
6
[7] N.D. Duc, P.H. Cong, V.D. Quang, Thermal stability of eccentrically stiffened FGM plate on elastic foundation based on Reddy's third-order shear deformation plate theory, J. Therm. Stresses 39(7) (2016) 772-794.
7
[8] P.H. Cong, N. An, P. Thi, N.D. Duc, Nonlinear stability of shear deformable eccentrically stiffened functionally graded plates on elastic foundations with temperature-dependent properties, SECM 24(3) (2017) 455-469.
8
[9] S. Zhu, J. Yan, Y. Wang, M. Tong, Buckling and Postbuckling Experiments of Integrally Stiffened Panel Under Compression–Shear Loads, J. Aircraft 52(2) (2014) 680-691.
9
[10] S. Zhu, J. Yan, Z. Chen, M. Tong, Y. Wang, Effect of the stiffener stiffness on the buckling and post-buckling behavior of stiffened composite panels–Experimental investigation, Compos. Struct. 120 (2015) 334-345.
10
[11] X. Wang, W. Cao, C. Deng, P. Wang, Z. Yue, Experimental and numerical analysis for the post-buckling behavior of stiffened composite panels with impact damage, Compos. Struct. 133 (2015) 840-846.
11
[12] A.d.P.G. Villani, M.V. Donadon, M.A. Arbelo, P. Rizzi, C.V. Montestruque, F. Bussamra, M.R. Rodrigues, The postbuckling behaviour of adhesively bonded stiffened panels subjected to in-plane shear loading, Aerosp. Sci. Technol. 46 (2015) 30-41.
12
[13] L. Huang, A.H. Sheikh, C.-T. Ng, M.C. Griffith, An efficient finite element model for buckling analysis of grid stiffened laminated composite plates, Compos. Struct. 122 (2015) 41-50.
13
[14] W. Zhao, R.K. Kapania, Buckling analysis of unitized curvilinearly stiffened composite panels, Compos. Struct. 135 (2016) 365-382.
14
[15] Y. SudhirSastry, P.R. Budarapu, N. Madhavi, Y. Krishna, Buckling analysis of thin wall stiffened composite panels, Comp. Mater. Sci. 96 (2015) 459-471.
15
[16] D. Wang, M.M. Abdalla, Global and local buckling analysis of grid-stiffened composite panels, Compos. Struct. 119 (2015) 767-776.
16
[17] R. Vescovini, C. Bisagni, Semi-analytical buckling analysis of omega stiffened panels under multi-axial loads, Compos. Struct. 120 (2015) 285-299.
17
[18] K. Nie, Y. Liu, Y. Dai, Closed-form solution for the postbuckling behavior of long unsymmetrical rotationally-restrained laminated composite plates under inplane shear, Compos. Struct. 122 (2015) 31-40.
18
[19] M. Bohlooly, B. Mirzavand, Closed form solutions for buckling and postbuckling analysis of imperfect laminated composite plates with piezoelectric actuators, Compos. Part B: Eng. 72 (2015) 21-29.
19
[20] K.M. Fard, M. Bohlooly, Postbuckling of piezolaminated cylindrical shells with eccentrically/concentrically stiffeners surrounded by nonlinear elastic foundations, Compos. Struct. 171 (2017) 360-369.
20
[21] J. Seidi, S. Khalili, K. Malekzadeh, Temperature-dependent buckling analysis of sandwich truncated conical shells with FG facesheets, Compos. Struct. 131 (2015) 682-691.
21
[22] J.N. Reddy, Mechanics of laminated composite plates and shells: theory and analysis, CRC press, 2004.
22
[23] H.-S. Shen, Post-buckling of internal-pressure-loaded laminated cylindrical shells surrounded by an elastic medium, J. Strain Anal. Eng. 44(6) (2009) 439-458.
23
[24] B. Mirzavand, M. Bohlooly, Thermal Buckling of Piezolaminated Plates Subjected to Different Loading Conditions, J. Therm. Stresses 38(10) (2015) 1138-1162.
24
[25] M.S. Boroujerdy, M.R. Eslami, Thermal buckling of piezoelectric functionally graded material deep spherical shells, J. Strain Anal. Eng. (2013) 0309324713484905.
25
[26] K. Malekzadeh, M. Khalili, R. Mittal, Local and global damped vibrations of plates with a viscoelastic soft flexible core: an improved high-order approach, J. Sandw. Struct. Mater. 7(5) (2005) 431-456.
26
[27] K. Asemi, M. Salehi, M. Akhlaghi, Three-dimensional natural frequency analysis of anisotropic functionally graded annular sector plates resting on elastic foundations, SECM 22(6) (2015) 693-708.
27
[28] H.-S. Shen, Q. Li, Postbuckling of shear deformable laminated plates resting on a tensionless elastic foundation subjected to mechanical or thermal loading, Int. J. Solids Struct. 41(16) (2004) 4769-4785.
28
[29] H.-S. Shen, Postbuckling of shear deformable laminated plates under biaxial compression and lateral pressure and resting on elastic foundations, Int. J. Mech. Sci. 42(6) (2000) 1171-1195.
29
[30] Y. Sun, S.-R. Li, R.C. Batra, Thermal buckling and post-buckling of FGM Timoshenko beams on nonlinear elastic foundation, J. Therm. Stresses 39(1) (2016) 11-26.
30
[31] H. Van Tung, N.D. Duc, Nonlinear analysis of stability for functionally graded plates under mechanical and thermal loads, Compos. Struct. 92(5) (2010) 1184-1191.
31
[32] H.-S. Shen, Thermal postbuckling of shear-deformable laminated plates with piezoelectric actuators, Compos. Sci. Technol. 61(13) (2001) 1931-1943.
32
[33] D.-G. Zhang, H.-M. Zhou, Mechanical and thermal post-buckling analysis of FGM rectangular plates with various supported boundaries resting on nonlinear elastic foundations, Thin-Walled Struct. 89 (2015) 142-151.
33
ORIGINAL_ARTICLE
Generalized 2-Unknown’s HSDT to Study Isotropic and Orthotropic Composite Plates
The present study introduces a generalized 2-unknown’s higher order shear deformation theory (HSDT) for isotropic and orthotropic plates. The well-known Shimpi’s two-unknown's HSDT is reproduced as a special case. Reddy’s shear strain shape function (SSSF) is also adapted to the present generalized theory. The results show that both Shimpi and the adapted Reddy’ HSDT are essentially the same, i.e., both present the same static results. This is due to the fact that both theories use polynomial SSSFs. This study presents a new optimized cotangential SSSF. The generalized governing equation obtained from the principle of virtual displacement is solved via the Navier closed-form solution. Results show that transverse shear stresses can be improved substantially when non-polynomial SSSFs are utilized. Finally, this theory is attractive and has the potential to study other mechanical problems such as bending in nanoplates due to its reduced number of unknown’s variables.
https://jacm.scu.ac.ir/article_13649_cb569c6cb0665e987d9c9dd9a0771efa.pdf
2019-01-01
141
149
10.22055/jacm.2018.24953.1222
Layered structures
Plates
Elasticity
Analytical Modeling
Lizbeth
Cuba
pccilcub@upc.edu.pe
1
Department of Civil Engineering, Universidad Peruana de Ciencias Aplicadas (UPC), Surco, Lima, Peru
AUTHOR
RA
Arciniega
roman.arciniega@upc.pe
2
Department of Civil Engineering, Universidad Peruana de Ciencias Aplicadas (UPC), Surco, Lima, Peru
AUTHOR
J.L.
MANTARI
jmantaril@uni.edu.pe
3
Faculty of Mechanical Engineering, Universidad de Ingeniería y Tecnología (UTEC), Barranco, Lima, Peru
LEAD_AUTHOR
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51
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52
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54
ORIGINAL_ARTICLE
Magnetohydrodynamic Free Convection Flows with Thermal Memory over a Moving Vertical Plate in Porous Medium
The unsteady hydro-magnetic free convection flow with heat transfer of a linearly viscous, incompressible, electrically conducting fluid near a moving vertical plate with the constant heat is investigated. The flow domain is the porous half-space and a magnetic field of a variable direction is applied. The Caputo time-fractional derivative is employed in order to introduce a thermal flux constitutive equation with a weakly memory. The exact solutions for the fractional governing differential equations for fluid temperature, Nusselt number, velocity field, and skin friction are obtained by using the Laplace transform method. The numerical calculations are carried out and the results are presented in graphical illustrations. The influence of the memory parameter (the fractional order of the time-derivative) on the temperature and velocity fields is analyzed and a comparison between the fluid with the thermal memory and the ordinary fluid is made. It was observed that due to evolution in the time of the Caputo power-law kernel, the memory effects are stronger for the small values of the time t. Moreover, it is found that the fluid flow is accelerated / retarded by varying the inclination angle of the magnetic field direction.
https://jacm.scu.ac.ir/article_13666_df7a81762c59dac1769c5d47f3158d07.pdf
2019-01-01
150
161
10.22055/jacm.2018.25682.1285
Free convection
Porous medium
Inclined magnetic field
Caputo time-fractional derivatives
Nehad
Ali Shah
nehadali199@yahoo.com
1
Department of Mathematics, Lahore Leads University, Lahore Pakistan
LEAD_AUTHOR
Najma
Ahmed
najmaahmed11@gmail.com
2
Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan
AUTHOR
Thanaa
Elnaqeeb
thanaa_1@yahoo.com
3
Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, 44519, Egypt
AUTHOR
Mohammad Mehdi
Rashidi
mm_rashidi@yahoo.com
4
Department of Civil Engineering, School of Engineering, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK
AUTHOR
1. F.A.L. Dullien, Introduction, in Porous Media (Second Edition). 1992, Academic Press: San Diego. p. 1-3.
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2. M.A. Mujeebu, M.Z. Abdullah, M.Z.A. Bakar, A.A. Mohamad, M.K. Abdullah, Applications of porous media combustion technology – A review. Applied Energy, 86(9) (2009) 1365-1375.
2
3. D.A. Nield, A. Bejan, Convection in Porous Media, 2013, Springer, New York, NY.
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4. J. Sallès, J.F. Thovert, P.M. Adler, Reconstructed porous media and their application to fluid flow and solute transport. Journal of Contaminant Hydrology, 13(1) (1993) 3-22.
4
5. S. Bories, Natural Convection in Porous Media, in Advances in Transport Phenomena in Porous Media, NATO ASI Series (Series E: Applied Sciences), Vol. 128. Springer, Dordrecht, 1987.
5
6. M.M. Rashidi, M. Ali, N. Freidoonimehr, B. Rostami, M. Anwar Hossain, Mixed convective heat transfer for MHD viscoelastic fluid flow over a porous wedge with thermal radiation, Advances in Mechanical Engineering, 2014 (2014) p. 735939.
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7. M.M. Rashidi, E. Erfani, Analytical Method for Solving Steady MHD Convective and Slip Flow due to a Rotating Disk with Viscous Dissipation and Ohmic Heating, Engineering Computations, 29(6) (2012) 562–579.
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8. C. Fetecau, N.A. Shah, D. Vieru, General solutions for hydromagnetic free convection flow over an infinite plate with Newtonian heating, mass diffusion and chemical reaction, Commun. Theor. Phys., 68 (2017) 768-782.
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9. A. Bejan, K.R. Khair, Heat and mass transfer by natural convection in a porous medium. International Journal of Heat and Mass Transfer, 28(5) (1985) 909-918.
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10. M. Narayana, A.A. Khidir, P. Sibanda, and P.V.S.N. Murthy, Soret Effect on the Natural Convection From a Vertical Plate in a Thermally Stratified Porous Medium Saturated With Non-Newtonian Liquid. Journal of Heat Transfer, 135(3) (2013) 032501-032510.
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11. C. Fetecau, R. Ellahi, M. Khan, N.A. Shah, Combined porous and magnetic effects on some fundamental motions of Newtonian fluids over an infinite plate, Journal of Porous Media, 21(7) (2018) 589-605.
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12. K.R. Cramer, S. Bai, and S. Pai, Magnetofluid Dynamics for Engineers and Applied Physicists. Scripta Publishing Company, 1973.
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13. A.K. Acharya, G.C. Dash, and S.R. Mishra, Free Convective Fluctuating MHD Flow through Porous Media Past a Vertical Porous Plate with Variable Temperature and Heat Source. Physics Research International, 2014 (2014) p. 8.
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14. A. Khan, R. Solanki, Initial unsteady free convective flow past an infinite vertical plate with radiation and mass transfer effects, Int. J. Appl. Mech. Eng., 22(4) (2017) 931-943.
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15. N. Marneni, S. Tippa, and R. Pendyala, Ramp temperature and Dufour effects on transient MHD natural convection flow past an infinite vertical plate in a porous medium. The European Physical Journal Plus, 130(12) (2015) p. 251.
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16. Samiulhaq, S. Ahmad, D. Vieru, I. Khan, and S. Shafie, Unsteady Magnetohydrodynamic Free Convection Flow of a Second Grade Fluid in a Porous Medium with Ramped Wall Temperature. PLoS One, 9(5) (2014) p. e88766.
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17. P.K. Pattnaik, T. Biswal, Analytical Solution of MHD Free Convective Flow through Porous Media with Time Dependent Temperature and Concentration. Walailak Journal of Science and Technology, 12(9) (2014) p. 14.
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18. G.S. Seth, R. Sharma, B. Kumbhakar, Heat and Mass Transfer Effects on Unsteady MHD Natural Convection Flow of a Chemically Reactive and Radiating Fluid through a Porous Medium Past a Moving Vertical Plate with Arbitrary Ramped Temperature, Journal of Applied Fluid Mechanics, 9(1) (2016) 103-117.
18
19. S.A. Gaffar, V. Ramachandra Prasad, E. Keshava Reddy, MHD free convection flow of Eyring–Powell fluid from vertical surface in porous media with Hall/ionslip currents and ohmic dissipation. Alexandria Engineering Journal, 55(2) (2016) 875-905.
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20. A. Sattar, Unsteady hydromagnetic free convection flow with hall current mass transfer and variable suction through a porous medium near an infinite vertical porous plate with constant heat flux. International Journal of Energy Research, 18(9) (1994) 771-775.
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21. M.M. Rashidi, E. Momoniat, B. Rostami, Analytic approximate solutions for MHD boundary-layer viscoelastic fluid flow over continuously moving stretching surface by homotopy analysis method with two auxiliary parameters, Journal of Applied Mathematics, 2012, Article ID 780415, 19 pages.
21
22. A. Hussanan, Z. Ismail, I. Khan, A.G. Hussein, S. Shafie, Unsteady boundary layer MHD free convection flow in a porous medium with constant mass diffusion and Newtonian heating. The European Physical Journal Plus, 129(3) (2014) p. 46.
22
23. C. Fetecau, N.A. Shah, D. Vieru, General solutions for hydromagnetic free convection flow over an infinite plate with Newtonian heating, mass diffusion and chemical reaction, Commun. Theor. Phys., 68 (2017) 768-782.
23
24. A.J. Omowaye, A.I. Fagbade, A.O. Ajayi, Dufour and soret effects on steady MHD convective flow of a fluid in a porous medium with temperature dependent viscosity: Homotopy analysis approach. Journal of the Nigerian Mathematical Society, 34(3) (2015) 343-360.
24
25. N.A. Shah, A.A. Zafar, S. Akhtar, General solution for MHD free convection flow over a vertical plate with ramped wall temperature, Arabian Journal of Mathematics, 7(1) (2018) 49–60.
25
26. Samiulhaq, I. Khan, F. Ali, S. Shafie, MHD Free Convection Flow in a Porous Medium with Thermal Diffusion and Ramped Wall Temperature, Journal of the Physical Society of Japan, 81(4) (2012) 044401.
26
27. F. Ali, I. Khan, S. Shafie, N. Musthapa, Heat and Mass Transfer with Free Convection MHD Flow Past a Vertical Plate Embedded in a Porous Medium. Mathematical Problems in Engineering, 2013, p. 13.
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28. B. Lavanya, A.L. Ratnam, Dufour and soret effects on steady MHD free convective flow past a vertical porous plate embedded in a porous medium with chemical reaction, radiation heat generation and viscous dissipation, Advances in Applied Science Research, 5(1) (2014) 127-142
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29. R. U. Haq, F. A. Soomro, T. Mekkaoui, Q. M. Al-Mdallal, MHD natural convection flow enclosure in a corrugated cavity filled with a porous medium, Int. J. Heat Mass Transfer, 121 (2018) 1168-1178.
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35. N.A. Shah, I. Khan, Heat transfer analysis in a second grade fluid over and oscillating vertical plate using fractional Caputo–Fabrizio derivatives. The European Physical Journal C, 76(7) (2016) p. 362.
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36. I. Khan, N.A. Shah, Y. Mahsud, D. Vieru, Heat transfer analysis in a Maxwell fluid over an oscillating vertical plate using fractional Caputo-Fabrizio derivatives. The European Physical Journal Plus, 132(4) (2017) p. 194.
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37. I. Khan, N.A. Shah, L.C.C. Dennis, A scientific report on heat transfer analysis in mixed convection flow of Maxwell fluid over an oscillating vertical plate. Scientific Reports, 7 (2017) p. 40147.
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38. N.A. Shah, D. Vieru, C. Fetecau, Effects of the fractional order and magnetic field on the blood flow in cylindrical domains. Journal of Magnetism and Magnetic Materials, 409 (2016) 10-19.
38
39. M. Khan, S.H. Ali, and H. Qi, Exact solutions for some oscillating flows of a second grade fluid with a fractional derivative model. Math. Comput. Model., 49(7-8) (2009) 1519-1530.
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40. S. Aman, I. Khan, Z. Ismail, M. Z. Salleh, Applications of fractional derivatives to nanofluids: exact and numerical solutions. Math. Model.Natural Phenomena, 13(1) (2018) 2-15.
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41. Q. Al-Mdallal, K. A. Abro, I. Khan, Analytical solutions of fractional Walter’s B fluid with applications. Complexity, 2018, Article ID 8131329.
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45. B. Stankovic, On the function of E. M. Wright, Publications de L'Institut Mathematique, Nouvelle serie, tome, 10(24) (1970) 113-124.
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46. C. F. Lorenzo, T. T. Hartley, Generalized Functions for the Fractional Calculus, NASA/TP-1999-209424/REV1, 1999.
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47. B. I. Henry, T. A. Langlands, P. Straka, An Introduction to Fractional Diffusion, in Dewar, R. L. and Detering F. eds., Complex Physical, Biophysical and Econophysical Systems, Proc. 22nd Canberra International Physics Summer School, The Australian National University, Canberra, 8-19 December 2002, edn. World Scientific Lecture Notes in Complex Systems, vol. 9, World Scientific, Hackensack, NJ, 37-89, 2010.
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49
ORIGINAL_ARTICLE
Elastic-Plastic Analysis of Bending Moment – Axial Force Interaction in Metallic Beam of T-Section
This study derives kinematic admissible bending moment – axial force (M-P) interaction relations for mild steel by considering elastic-plastic idealizations. The interaction relations can predict strains, which is not possible in a rigid perfectly plastic idealization. The relations are obtained for all possible cases pertaining to the locations of neutral axis. One commercial rolled steel T-section is considered for studying the characteristics of interaction curves for different models. On the basis of these interaction curves, most significant cases for the position of neutral axis which are enough for the establishment of interaction relations are suggested.
https://jacm.scu.ac.ir/article_13667_68d8f5af4b81c5a98c51c812e18f6a5a.pdf
2019-01-01
162
173
10.22055/jacm.2018.25857.1298
Elastic-Plastic Analysis
Mild Steel
T–Section
M-P interaction
Bending Moment
Hossein
Hatami
h64hatami@gmail.com
1
Department of Civil Engineering, Lorestan University, Khorram Abad, Iran
LEAD_AUTHOR
Mojtaba
Hosseini
hoseini.m@lu.ac.ir
2
Department of Mechanical Engineering, Lorestan University, Khorram Abad, Iran
AUTHOR
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ORIGINAL_ARTICLE
A Note on Free Vibration of a Double-beam System with Nonlinear Elastic Inner Layer
In this note, small amplitude free vibration of a double-beam system in presence of inner layer nonlinearity is investigated. The nonlinearity is due to inner layer material and is not related to large amplitude vibration. At first, frequencies of a double-beam system with linear inner layer are studied and categorized as synchronous and asynchronous frequencies. It is revealed that the inner layer does not affect higher modes significantly and mainly affects the first frequency. Then, equation of motion in the presence of cubic nonlinearity in the inner layer is derived and transformed to the form of Duffing equation. Using an analytical solution, the effect of nonlinearity on the frequency for simply-supported and clamped boundary conditions is analyzed. Results show that the nonlinearity effect is not significant and, in small amplitude free vibration analysis of a double-beam system, the material nonlinearity of the inner layer could be neglected.
https://jacm.scu.ac.ir/article_13566_4ec6156625f90b9b35a3cdc722dfb580.pdf
2019-01-01
174
180
10.22055/jacm.2018.25143.1232
Double-beam system
Frequency
Nonlinearity
Duffing equation
Analytical solution
Alborz
Mirzabeigy
mirzabeigy@mecheng.iust.ac.ir
1
School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, 16846, Iran
LEAD_AUTHOR
Reza
Madoliat
madoliat@iust.ac.ir
2
School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, 16846, Iran
AUTHOR
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