Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2383-4536
5
1
2019
01
01
Extension Ability of Reduced Order Model of Unsteady Incompressible Flows Using a Combination of POD and Fourier Modes
1
12
EN
Mohammad Kazem
Moayyedi
0000-0003-4016-1557
Department of Mechanical Eng., School of Engineering, University of Qom, Iran
moayyedi@qom.ac.ir
10.22055/jacm.2018.24099.1171
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.
Proper orthogonal decomposition,Galerkin projection,Reduced order model,Calibration strategy,Incompressible flow,Fourier modes
http://jacm.scu.ac.ir/article_13518.html
http://jacm.scu.ac.ir/article_13518_5b73e37210ebbc234ad3cdd454b583b8.pdf
Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2383-4536
5
1
2019
01
01
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
13
39
EN
Gbeminiyi
Sobamowo
Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria
mikegbeminiyi@gmail.com
10.22055/jacm.2018.24529.1196
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, Al<sub>2</sub>O<sub>3</sub> 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.
Free convection,Boundary layer,Prandtl number,Nanofluid,Differential transformation method,Padé-approximant technique
http://jacm.scu.ac.ir/article_13519.html
http://jacm.scu.ac.ir/article_13519_57e990226d04a793e5a70b45d027606e.pdf
Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2383-4536
5
1
2019
01
01
A Comparative Analysis of TLCD-Equipped Shear Buildings under Dynamic Loads
40
45
EN
Mario
Freitas
University of Brasilia, Department of Civil and Environmental Engineering
Campus Darcy Ribeiro, Brasilia-DF, 70919-970, Brazil
mariofreitas.enc@gmail.com
Lineu
Pedroso
University of Brasilia, Department of Civil and Environmental Engineering
Campus Darcy Ribeiro, Brasilia-DF, 70919-970, Brazil
lineu@unb.br
10.22055/jacm.2018.24779.1212
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.
TLCD,Structure dynamics,DynaPy,Numeric integration
http://jacm.scu.ac.ir/article_13520.html
http://jacm.scu.ac.ir/article_13520_c85bc498abc7eebf4057434ce9af16eb.pdf
Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2383-4536
5
1
2019
01
01
Free Vibration Analysis of Quintic Nonlinear Beams using Equivalent Linearization Method with a Weighted Averaging
46
57
EN
Dang
Hieu
Thai Nguyen University of Technology, Thai Nguyen, Viet Nam
hieudv@tnut.edu.vn
N.Q.
Hai
Ha Noi Architechtural University, Ha Noi, Viet Nam
nqhai_hau@yahoo.com
10.22055/jacm.2018.24919.1217
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.
Equivalent linearization method,Weighted averaging,Non-linear vibration,Euler-Bernoulli beam
http://jacm.scu.ac.ir/article_13523.html
http://jacm.scu.ac.ir/article_13523_dffc78f65cec62c8c4bc959013fe8636.pdf
Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2383-4536
5
1
2019
01
01
Some New Existence, Uniqueness and Convergence Results for Fractional Volterra-Fredholm Integro-Differential Equations
58
69
EN
Ahmed A.
Hamoud
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004, India | Department of Mathematics, Taiz University, Taiz, Yemen
drahmed985@yahoo.com
Kirtiwant P.
Ghadle
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004, India
altafsyhussain@gmail.com
10.22055/jacm.2018.25397.1259
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.
Modified Adomian Decomposition Method,Modified Variational Iteration Method,Caputo Fractional Volterra-Fredholm Integro-Differential Equation
http://jacm.scu.ac.ir/article_13592.html
http://jacm.scu.ac.ir/article_13592_a2346db90ab3114cc04d45a5e52c1fee.pdf
Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2383-4536
5
1
2019
01
01
A Numerical Simulation of Inspiratory Airflow in Human Airways during Exercise at Sea Level and at High Altitude
70
76
EN
Endalew Getnet
Tsega
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee -247667 (Uttarakhand) India
endalebdumath2016@gmail.com
Vinod Kumar
Katiyar
Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee -247667 (Uttarakhand) India
vktmafma20@gmail.com
10.22055/jacm.2018.25334.1247
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.
Computational fluid dynamics,Airway model,Flow fields,Exercise,Sea level,High altitude,Numerical simulation
http://jacm.scu.ac.ir/article_13586.html
http://jacm.scu.ac.ir/article_13586_4b9888e1232087646ee923cec93335d8.pdf
Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2383-4536
5
1
2019
01
01
Study on Free Vibration and Wave Power Reflection in Functionally Graded Rectangular Plates using Wave Propagation Approach
77
90
EN
Ali
Zargaripoor
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
alizargaripoor@ut.ac.ir
Ali Reza
Daneshmehr
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
daneshmehr@ut.ac.ir
Mansour
Nikkhah Bahrami
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran, Iran
mbahrami@ut.ac.ir
10.22055/jacm.2018.25692.1287
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.
Rectangular FG plate,Propagation matrix,Reflection matrix,Vibration analysis,FSDT
http://jacm.scu.ac.ir/article_13595.html
http://jacm.scu.ac.ir/article_13595_fbae6fe551ddc6242d5d2a8aa92687c2.pdf
Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2383-4536
5
1
2019
01
01
High Order Compact Finite Difference Schemes for Solving Bratu-Type Equations
91
102
EN
Raziyeh
Gharechahi
Department of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
r.gharechahi_64@yahoo.com
Maryam
Arab Ameri
Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran
arabameri@math.usb.ac.ir
Morteza
Bisheh-Niasar
Department of Applied Mathematics, Faculty of Mathematical Science, University of Kashan, Kashan, Iran
mbisheh@kashanu.ac.ir
10.22055/jacm.2018.25696.1288
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.
Bratu-type equations,Compact finite difference methods,Lower and upper solutions,Convergence
http://jacm.scu.ac.ir/article_13596.html
http://jacm.scu.ac.ir/article_13596_d3de3c9e0bf843b351e151cea5181401.pdf
Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2383-4536
5
1
2019
01
01
On the Buckling Response of Axially Pressurized Nanotubes Based on a Novel Nonlocal Beam Theory
103
112
EN
Mohammad
Malikan
0000-0001-7356-2168
Department of Mechanical Engineering, Faculty of Engineering, Islamic Azad University, Mashhad Branch, Iran
mohammad.malikan@yahoo.com
10.22055/jacm.2018.25507.1274
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.
buckling analysis,Single-walled carbon nanotubes,A new refined beam theory,nonlocal elasticity theory,Navier’s approach
http://jacm.scu.ac.ir/article_13600.html
http://jacm.scu.ac.ir/article_13600_3d0648429925e4b3f2e69d49abe4e330.pdf
Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2383-4536
5
1
2019
01
01
Topology Optimization of the Thickness Profile of Bimorph Piezoelectric Energy Harvesting Devices
113
127
EN
Breno Vincenzo
de Almeida
School of Mechanical Engineering, Department of Computational Mechanics, University of Campinas, Cidade Universitria Zeferino Vaz - Barao Geraldo, 13083-970, Campinas, Sao Paulo, Brazil
breno_dealmeida@hotmail.com
Renato
Pavanello
School of Mechanical Engineering, Department of Computational Mechanics, University of Campinas, Cidade Universitria Zeferino Vaz - Barao Geraldo, 13083-970, Campinas, Sao Paulo, Brazil
pava@fem.unicamp.br
10.22055/jacm.2018.25097.1228
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.
Piezoelectric,Harvester,Structural optimization
http://jacm.scu.ac.ir/article_13608.html
http://jacm.scu.ac.ir/article_13608_7e977a842a6a30c126744c8052e8de21.pdf
Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2383-4536
5
1
2019
01
01
Buckling and Postbuckling of Concentrically Stiffened Piezo-Composite Plates on Elastic Foundations
128
140
EN
Mehdi
Bohlooly
Aircraft Research Centre, Tehran, Iran
mehdi.bohlooly@gmail.com
Keramat
Malekzadeh Fard
Department of Structural Engineering and Simulation, Aerospace Research Institute, Malek Ashtar University of Technology, Tehran, Iran
kmalekzadeh@mut.ac.ir
10.22055/jacm.2018.25539.1277
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.
Buckling,Composite,Stiffener,Piezoelectric,Foundation
http://jacm.scu.ac.ir/article_13630.html
http://jacm.scu.ac.ir/article_13630_08aa32c1a82ba53dd4923b967c57a6d7.pdf
Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2383-4536
5
1
2019
01
01
Generalized 2-Unknown’s HSDT to Study Isotropic and Orthotropic Composite Plates
141
149
EN
Lizbeth
Cuba
Department of Civil Engineering, Universidad Peruana de Ciencias Aplicadas (UPC), Surco, Lima, Peru
pccilcub@upc.edu.pe
RA
Arciniega
Department of Civil Engineering, Universidad Peruana de Ciencias Aplicadas (UPC), Surco, Lima, Peru
roman.arciniega@upc.pe
J.L.
MANTARI
Faculty of Mechanical Engineering, Universidad de Ingeniería y Tecnología (UTEC), Barranco, Lima, Peru | Department of Mechanical Engineering, University of New Mexico, Albuquerque 87131, USA
jmantaril@uni.edu.pe
10.22055/jacm.2018.24953.1222
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.
Layered structures,Plates,Elasticity,Analytical Modeling
http://jacm.scu.ac.ir/article_13649.html
http://jacm.scu.ac.ir/article_13649_cb569c6cb0665e987d9c9dd9a0771efa.pdf
Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2383-4536
5
1
2019
01
01
Magnetohydrodynamic Free Convection Flows with Thermal Memory over a Moving Vertical Plate in Porous Medium
150
161
EN
Nehad
Ali Shah
Department of Mathematics, Lahore Leads University, Lahore Pakistan | Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan
nehadali199@yahoo.com
Najma
Ahmed
Abdus Salam School of Mathematical Sciences, GC University Lahore, Pakistan
najmaahmed11@gmail.com
Thanaa
Elnaqeeb
Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, 44519, Egypt
thanaa_1@yahoo.com
Mohammad Mehdi
Rashidi
0000-0002-6309-8688
Department of Civil Engineering, School of Engineering, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK
mm_rashidi@yahoo.com
10.22055/jacm.2018.25682.1285
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 <em>t</em>. Moreover, it is found that the fluid flow is accelerated / retarded by varying the inclination angle of the magnetic field direction.
Free convection,Porous medium,Inclined magnetic field,Caputo time-fractional derivatives
http://jacm.scu.ac.ir/article_13666.html
http://jacm.scu.ac.ir/article_13666_df7a81762c59dac1769c5d47f3158d07.pdf
Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2383-4536
5
1
2019
01
01
Elastic-Plastic Analysis of Bending Moment – Axial Force Interaction in Metallic Beam of T-Section
162
173
EN
Hossein
Hatami
Department of Civil Engineering, Lorestan University, Khorram Abad, Iran
h64hatami@gmail.com
Mojtaba
Hosseini
Department of Mechanical Engineering, Lorestan University, Khorram Abad, Iran
hoseini.m@lu.ac.ir
10.22055/jacm.2018.25857.1298
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.
Elastic-Plastic Analysis,Mild Steel,T–Section,M-P interaction,Bending Moment
http://jacm.scu.ac.ir/article_13667.html
http://jacm.scu.ac.ir/article_13667_68d8f5af4b81c5a98c51c812e18f6a5a.pdf
Shahid Chamran University of Ahvaz
Journal of Applied and Computational Mechanics
2383-4536
5
1
2019
01
01
A Note on Free Vibration of a Double-beam System with Nonlinear Elastic Inner Layer
174
180
EN
Alborz
Mirzabeigy
School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, 16846, Iran
mirzabeigy@mecheng.iust.ac.ir
Reza
Madoliat
School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, 16846, Iran
madoliat@iust.ac.ir
10.22055/jacm.2018.25143.1232
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.
Double-beam system,Frequency,Nonlinearity,Duffing equation,Analytical solution
http://jacm.scu.ac.ir/article_13566.html
http://jacm.scu.ac.ir/article_13566_4ec6156625f90b9b35a3cdc722dfb580.pdf