ORIGINAL_ARTICLE
Reliability Analysis of Nanocomposite Beams Reinforced with CNTs under Buckling Forces Using the Conjugate HL-RF
In this paper, the nonlinear conjugate map is applied based on the conjugate Hasofer-Lind and Rackwitz- Fiessler (CHL-RF) method to evaluate the reliability index using the first order reliability method of the embedded nanocomposite beam, which is made of a polymer reinforced with carbon nanotubes (CNTs). The structure is simulated with the Timoshenko beam model. The Mori-Tanaka model is applied for calculating the effective material properties of the nanocomposite beam and the surrounding elastic medium is considered as spring and shear constants. The governing equations are derived based on the energy method and the Hamilton's principle. Moreover, using an analytical method, the buckling performance function of the structure is obtained. The effects of the basic random variables including the length-to-thickness ratio of the beam (L/h), the spring constant, and the shear constant of the foundation with respect to the volume fraction of CNTs are investigated based on the reliability index of the nanocomposite beam which is subjected to an axial force of 20 GPa. The results indicate that the failure probabilities of the studied nanocomposite beams are sensitive to the length-to-thickness ratio of the beam (L/h) and the spring constant of the foundation variables.
http://jacm.scu.ac.ir/article_12541_b6002798e995b56a641c8e7dac99fa03.pdf
2016-12-01T11:23:20
2018-06-20T11:23:20
200
207
10.22055/jacm.2016.12541
Nanocomposite beam
Conjugate HL-RF
first order reliability method
Timoshenko beam model
Behrooz
Keshtegar
bkeshtegar@uoz.ac.ir
true
1
Department of Civil Engineering, University of Zabol,
Zabol, 9861335-856, Iran, Bkeshtegar@uoz.ac.ir
Department of Civil Engineering, University of Zabol,
Zabol, 9861335-856, Iran, Bkeshtegar@uoz.ac.ir
Department of Civil Engineering, University of Zabol,
Zabol, 9861335-856, Iran, Bkeshtegar@uoz.ac.ir
AUTHOR
Abbasali
Ghaderi
true
2
Department of Civil Engineering, University of Sistan and Baluchestan,
Zahedan, 98798-155, Iran
Department of Civil Engineering, University of Sistan and Baluchestan,
Zahedan, 98798-155, Iran
Department of Civil Engineering, University of Sistan and Baluchestan,
Zahedan, 98798-155, Iran
AUTHOR
Ahmed
El-Shafie
elshafie@um.edu.my
true
3
Department of Civil Engineering, Faculty of Engineering, University Malaya,
Kuala Lumpur, 50603, Malaysia
Department of Civil Engineering, Faculty of Engineering, University Malaya,
Kuala Lumpur, 50603, Malaysia
Department of Civil Engineering, Faculty of Engineering, University Malaya,
Kuala Lumpur, 50603, Malaysia
LEAD_AUTHOR
[1] Engesser, F., Über Die Knickfestigkeit Gerader Stäbe, Z. Archit. Ing. Ver. Hann., Vol. 35, pp. 455–462, 1889.
1
[2] Shanley, F.R., Inelastic Column Theory, J. Aeronaut. Sci., Vol. 14, Pp. 261–264, 1947.
2
[3] Mau, S.T., Effect of Tie Spacing Oninelastic Buckling of Reinforcing Bars, ACI Struct. J., Vol. 87, No. 6, pp. 617-677, 1990.
3
[4] Mau, S.T. and El-Mabsout, M., Inelastic Buckling of Reinforcing Bars, J. Eng. Mech., Vol. 115, No. 1, pp. 1-17, 1989.
4
[5] Pantazopoulou, S.J., Detailing for Reinforcement Stability in RC Members, J. Struct. Eng., Vol. 124, No. 6, pp. 623-6321998.
5
[6] Dhakal, R.P. and Maekawa, K., Modeling for Postyield Buckling of Reinforcement, J. Struct. Eng., Vol. 128, No.9, pp. 1139-1147, 2002.
6
[7] Bae, S., Mieses, A.M. and Bayrak, O., Inelastic Buckling of Reinforcing Bars, J. Struct. Eng., Vol. 131, No. 2, pp. 314-321, 2005.
7
[8] Dhakal, R.P. and Maekawa, K., Reinforcement Stability and Fracture of Cover Concrete in Reinforced Concrete Members, J. Struct. Eng., Vol. 128, No. 10, pp. 1253-1262, 2002.
8
[9] Krauberger, N., Saje, M., Planinc, I. and Bratina, S., Exact Buckling Load of a Restrained RC Column, Struct. Eng. Mech., Vol. 27, pp. 293–310, 2007.
9
[10] Lou, T., Lopes, S.M.R. and Lopes, A.V. (2015), “Numerical Modelling of Nonlinear Behaviour of Prestressed Concrete Continuous Beams”, Comput. Concrete, 15, 391-410.
10
[11] Bajc, U., Saje, M., Planinc, I. and Bratina, S., Semi-analytical Buckling Analysis of Reinforced Concrete Columns Exposed to Fire, Fire Safety J., Vol. 71, pp. 110–122, 2015.
11
[12] Vijai, K., Kumutha, R. and Vishnuram, B.G., Flexural Behaviour of Fibre Reinforced Geopolymer Concrete Composite Beams, Comput. Concrete, Vol. 15, pp. 437-459, 2015.
12
[13] Keshtegar, B. and Miri, M., Reliability Analysis of Corroded Pipes Using Conjugate HL–RF Algorithm Based on Average Shear Stress Yield Criterion, Engineering Failure Analysis, Vol. 46, pp. 104–117, 2014.
13
[14] Keshtegar B. and Hao P., A Hybrid Loop Approach Using the Sufficient Descent Condition for Accurate, Robust and Efficient Reliability-Based Design Optimization, Journal of Mechanical Design, Vol. 138, No. 12: pp. 121401-11
14
[15] Keshtegar, B. (2016), A Modified Mean Value of Performance Measure Approach for Reliability-Based Design Optimization, Arab J Sci Eng. 1-9, doi:10.1007/s13369-016-2322-02016
15
[16] Keshtegar, B., Chaotic Conjugate Stability Transformation Method for Structural Reliability Analysis, Computer Methods in Applied Mechanics and Engineering, Vol. 310, pp. 866-885, 2016.
16
[17] Keshtegar, B., Stability Iterative Method for Structural Reliability Analysis Using a Chaotic Conjugate Map, Nonlinear Dyn., Vol. 84, No. 4, pp. 2161-2174, 2016.
17
[18] Keshtegar, B., Limited Conjugate Gradient Method for Structural Reliability Analysis, Engineering with Computers, doi:10.1007/s00366-016-0493-7, pp. 1-9, 2016.
18
[19] Keshtegar, B. and Miri, M., Introducing Conjugate Gradient Optimization for Modified HL-RF Method, Engineering Computations, Vol. 31, pp. 775-790, 2014.
19
[20] Fletcher, R. and Reeves, C., Function minimization by conjugate gradients, J. Comput. Vol. 7, pp. 149–154, 1964.
20
[21] Gong, J.X. and Yi, P., A Robust Iterative Algorithm for Structural Reliability Analysis, Struct. Multidisc. Optim., Vol. 43, pp. 519–527, 2011.
21
[22] Meng, Z., Li, G., Yang, D. and Zhan, L., A New Directional Stability Transformation Method of Chaos Control for First Order Reliability Analysis, Struct. Multidiscipl. Optim., DOI: 10.1007/s00158-016-1525-z, pp. 1-12, 2016.
22
ORIGINAL_ARTICLE
Nonlinear Vibration Analysis of Single-Walled Carbon Nanotube Conveying Fluid in Slip Boundary Conditions Using Variational Iterative Method
In this paper, nonlinear dynamic behaviour of the carbon nanotube conveying fluid in slip boundary conditions is studied using the variation iteration method. The developed solutions are used to investigate the effects of various parameters on the nonlinear vibration of the nanotube. The results indicate that an increase in the slip parameter leads to a decrease in the frequency of vibration and the critical velocity, while the natural frequency and the critical fluid velocity increase as the stretching effect increases. Also, as the nonlocal parameter increases, the natural frequency and the critical velocity decreases. The analytical solutions help to have better insights and understand the relationship between the physical quantities of the problem.
http://jacm.scu.ac.ir/article_12527_200c1a9a53c5b42e001539e2a4965665.pdf
2016-12-01T11:23:20
2018-06-20T11:23:20
208
221
10.22055/jacm.2016.12527
Non-linear vibration
Slip boundary Condition
Fluid-conveying Nanotube
Variational iteration method
Gbeminiyi
Sobamowo
mikegbeminiyi@gmail.com
true
1
Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria
Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria
Department of Mechanical Engineering, University of Lagos, Akoka, Lagos, Nigeria
LEAD_AUTHOR
Iijima, S. Helical microtubules of graphitic carbon. Nature, London, Vol. 354, no. 6348, pp. 56–58, 1991.
1
Yoon, G., Ru, C.Q., Mioduchowski, A. Vibration and instability of carbon nanotubes conveying fluid. Journal of Applied Mechanics, Transactions of the ASME, Vol. 65, no. 9, 1326–1336, 2005.
2
Yan, Y., Wang, W.Q. and Zhang, L.X. Nonlocal effect on axially compressed buckling of triple-walled carbon nanotubes under temperature field. Journal of Applied Math and Modelling, Vol. 34, pp. 3422–3429, 2010.
3
Murmu, T., and Pradhan, S. C. Thermo-mechanical vibration of Single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity theory. Computational Material Science, Vol. 46, pp. 854–859, 2009.
4
Yang, H. K. and Wang, X. Bending stability of multi-wall carbon nanotubes embedded in an elastic medium. Modeling and Simulation in Materials Sciences and Engineering, Vol. 14, pp. 99–116, 2006.
5
Yoon, J. Ru, C.Q., Mioduchowski, A. Vibration of an embedded multiwall carbon nanotube. Composites Science and Technology, Vol. 63, no. 11, pp. 1533–1542, 2003.
6
Lu, P. Lee, H.P., Lu, C. Zhang, P.Q. Application of nonlocal beam models for carbon nanotubes. International Journal of Solids and Structures, Vol. 44, no. 16, pp. 5289–5300, 2007.
7
Zhang, Y., Liu, G., Han, X. Transverse vibration of double-walled carbon nanotubes under compressive axial load. Applied Physics Letter A, Vol. 340, no. 1-4, pp. 258–266, 2005.
8
GhorbanpourArani, M.S. Zarei, M. Mohammadimehr, A. Arefmanesh, M.R. Mozdianfard. The thermal effect on buckling analysis of a DWCNT embedded on the Pasternak foundation”, Physica E, Vol. 43, pp. 1642–1648, 2011.
9
Sobamowo, M. G. Thermal analysis of longitudinal fin with temperature-dependent properties and internal heat generation using Galerkin’s method of weighted residual. Applied Thermal Engineering Vol. 99, pp.1316–1330, 2016.
10
Rafei, M. Ganji, D. D. Daniali, H., Pashaei. H. The variational iteration method for nonlinear oscillators with discontinuities. J. Sound Vib. Vol. 305, pp. 614–620, 2007.
11
S. S. Ganji, D. D. Ganji, D. D., H. Ganji, Babazadeh, Karimpour, S.: Variational approach method for nonlinear oscillations of the motion of a rigid rod rocking back and cubic-quintic duffing oscillators. Prog. Electromagn. Res. M Vol. 4, pp. 23–32, 2008.
12
Liao, S. J. The Proposed Homotopy Analysis Technique for the Solution of Nonlinear Problems,Ph. D. dissertation, Shanghai Jiao Tong University, 1992
13
Zhou, J. K. Differential Transformation and its Applications for Electrical Circuits. Huazhong University Press: Wuhan, China, 1986.
14
Fernandez, A. On some approximate methods for nonlinear models. Appl Math Comput., Vol. 21., pp. 168-74, 2009
15
Eringen, A. C. “On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves”, Journal of Applied Physics, Vol. 54, no. 9, pp.4703–4710, 1983.
16
Eringen, A. C. “Linear theory of nonlocal elasticity and dispersion of plane waves”, Inter- national Journal of Engineering Science, Vol. 10, no. (5), pp. 425–435, 1972.
17
Eringen, A. C. and Edelen, D. G., B. “On nonlocal elasticity”, International Journal of Engineering Science, Vol. 10(3), pp. 233–248, 1972.
18
Eringen, A. C. “Nonlocal continuum field theories”, Springer, New York 2002.
19
Ali-Asgari, M., Mirdamadi, H. R. and Ghayour, M. Coupled effects of nano-size, stretching, and slip boundary conditions on nonlinear vibrations of nano-tube conveying fluid by the homotopy analysis method.Physica E, Vol. 52, pp. 77–85, 2013.
20
Shokouhmand, H. Isfahani, A. H. M. and Shirani, E. “Friction and heat transfer coefficient in micro and nano channels with porous media for wide range of Knudsen number”, International Communication in Heat and Mass Transfer, Vol. 37, pp. 890-894, 2010.
21
ORIGINAL_ARTICLE
Magnetic Field Effects on the Elastic Behavior of Polymeric Piezoelectric Cylinder Reinforced with CNTs
In the present study, the magnetic field effects of the elastic response of the polymeric piezoelectric cylinder reinforced with the carbon nanotubes (CNTs) are studied. The cylinder is subjected to an internal pressure, a constant electric potential difference at the inner and outer surfaces, and the thermal and magnetic fields. The Mori-Tanaka model is used for obtaining the equivalent material properties of the cylinder. The governing differential equation of the cylinder is derived and solved analytically based on the charge and equilibrium relations. The main purpose of this paper is to investigate the effects of the magnetic field on the stresses, the electric potential, and the radial displacement distributions of the polymeric piezoelectric cylinder. The presented results indicate that the existence of the magnetic field can reduce the stresses of the nanocomposite cylinder.
http://jacm.scu.ac.ir/article_12542_2f154ba98fdb04c9988ad5623cc44fc4.pdf
2016-12-01T11:23:20
2018-06-20T11:23:20
222
229
10.22055/jacm.2016.12542
Magnetic field
CNT
Piezoelectric cylinder
Mori-Tanak model
Electric filed
Ali
Cheraghbak
ali.cheraghbeyk@gmail.com
true
1
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
LEAD_AUTHOR
Abbas
Loghman
aloghman@kashanu.ac.ir
true
2
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
Faculty of Mechanical Engineering, University of Kashan, Kashan, Iran
AUTHOR
[1] Ghorbanpour, A., Golabi, S. and Saadatfar, M., “Stress and electric potential fields in piezoelectric smart spheres”, Journal of Mechanical Science and Technology, Vol. 20, pp. 1920-1933, 2006.
1
[2] Saadatfar, M. and Razavi, A.S., “Piezoelectric hollow cylinder with thermal gradient”, Journal of Mechanical Science and Technology, Vol. 23, pp. 45-53, 2009.
2
[3] Galic, D. and Horgan, C.O., “The stress response of radially polarized rotating piezoelectric cylinders”, Journal of Appllied Mechanics, Vol. 66, pp. 257-272, 2002.
3
[4] Chen, Y., Shi, Z.F., “Analysis of a functionally graded piezothermoelatic hollow cylinder”, Journal of Zhejiang University SCIENCE A, Vol. 6, pp. 956–61, 2005.
4
[5] Babaei, M.H. and Chen, Z.T. “Analytical solution for the electromechanical behaviour of a rotating functionally graded piezoelectric hollow shaft”, Archive of Appllied Mechanics, Vol. 78, pp. 489–500, 2008.
5
[6] Khoshgoftar, M.J., Ghorbanpour Arani, A. and Arefi, M. “Thermoelastic analysis of a thick walled cylinder made of functionally graded piezoelectric material”, Smart Materials and Structures, Vol. 18, pp. 115007 (8pp), 2009.
6
[7] Ray, M.C. and Reddy,J.N. “Active control of laminated cylindrical shells using piezoelectric fiber reinforced composites”, Composite Science and Technology, Vol. 65, pp. 1226–1236, 2005.
7
[8] Bohm, H.j. and Nogales, S. “Mori–Tanaka models for the thermal conductivity of composites with interfacial resistance and particle size distributions”, Composite Science and Technology, Vol. 68, pp. 1181–1187, 2008.
8
[9] Tan, P. and Tong, L. “Micro-electromechanics models for piezoelectric-fiber-reinforced composite materials”, Composite Science and Technology, Vol. 61, pp. 759–769, 2001.
9
[10] Loghman, A. and Cheraghbak, A. “Agglomeration effects on electro-magneto-thermo elastic behavior of nano-composite piezoelectric cylinder”, Polymer Composites, 2016, DOI: 10.1002/pc.24104.
10
[11] Mori, T. and Tanaka, K., “Average Stress in Matrix and Average Elastic Energy of Materials With Misfitting Inclusions”, Acta Metallurgica et Materialia, Vol. 21, pp. 571- 574, 1973.
11
[12] Shi, D.L. and Feng, X.Qو. T“he Effect ofNanotube Waviness and Agglomeration on the elastic Property of Carbon Nanotube-Reinforced Composties”, Journal of Engineering Materials and Technology ASME, Vol. 126, pp. 250-270, 2004.
12
[13] Ghorbanpour Arani, A., Kolahchi, R. and Mosallaie Barzoki, A.A. “Effect of material in-homogeneity on electromechanical behaviors of functionally graded piezoelectric rotating shaft”, Applied Mathematical Modelling, Vol. 135, pp. 2771–2789, 2011.
13
[14] Ghorbanpour Arani, A., Loghman, A., Abdollahitaheri, M. and Atabakhshian, V. “Electrothermomechanical behaviour of a radially polarized functionally graded piezoelectric cylinder”, Journal of Mechanics of Materials and Structures, Vol. 6, pp. 869–882, 2011.
14
[15] Dai, H.L., Hong, H., Fu, Y. and Xiao, M. “Analytical solution for electromagneto thermoelastic behaviours of a Functionally Graded Piezoelectric Hollow Cylinder”, Applied Mathematical Modeling, Vol. 34, pp. 343-357, 2010.
15
[16] Ghorbanpour Arani, A., Mosallaie Barzoki, A.A., Kolahchi, R., Mozdianfard, M.R. and Loghman, A. “Semi-analytical solution of time-dependent electro-thermo-mechanical creep for radially polarized piezoelectric cylinder”, Computers and Structures, Vol. 89, pp. 1494–1502, 2011.
16
ORIGINAL_ARTICLE
Uniaxial Buckling Analysis Comparison of Nanoplate and Nanocomposite Plate with Central Square Cut out Using Domain Decomposition Method
A comparison of the buckling analysis of the nanoplate and nanocomposite plate with a central square hole embedded in the Winkler foundation is presented in this article. In order to enhance the mechanical properties of the nanoplate with a central cutout, the uniformly distributed carbon nanotubes (CNTs) are applied through the thickness direction. In order to define the shape function of the plate with a square cutout, the domain decomposition method and the orthogonal polynomials are used. At last, to obtain the critical buckling load of the system, the Rayleigh-Ritz energy method is provided. The impacts of the length and width of the plate, the dimension of the square cutout, and the elastic medium on the nanoplate and nanocomposite plate are presented in this study.
http://jacm.scu.ac.ir/article_12543_e687caece77d3c5ca0a68c5397df4f0f.pdf
2016-12-01T11:23:20
2018-06-20T11:23:20
230
242
10.22055/jacm.2016.12543
Analytical buckling
Nanocomposite plate
Central square hole
Winkler foundation
Domain decomposition method
Rayleigh-Ritz energy method
Majid
Jamali
eng.mjamali@gmail.com
true
1
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran, eng.mjamali@gmail.com
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran, eng.mjamali@gmail.com
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran, eng.mjamali@gmail.com
LEAD_AUTHOR
Taghi
Shojaee
ta_shojaee@cmps2.iust.ac.ir
true
2
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran,
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran,
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran,
AUTHOR
Bijan
Mohammadi
bijan_mohammadi@iust.ac.ir
true
3
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran,
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran,
School of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran,
AUTHOR
[1] Murmu, T., and Pradhan, S. C., "Buckling of biaxially compressed orthotropic plates at small scales," Mechanics Research Communications, Vol. 36, pp. 933-938, 2009.
1
[2] Pradhan, S. C., "Buckling of single layer graphene sheet based on nonlocal elasticity and higher order shear deformation theory," Physics Letters A, Vol. 373, pp. 4182-4188, 2009.
2
[3] Aksencer, T., and Aydogdu, M., "Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory," Physica E: Low-dimensional Systems and Nanostructures, Vol. 43, pp. 954-959, 2011.
3
[4] Hashemi, S. H., and Samaei, A. T., "Buckling analysis of micro/nanoscale plates via nonlocal elasticity theory," Physica E: Low-dimensional Systems and Nanostructures, Vol. 43, pp. 1400-1404, 2011.
4
[5] Samaei, A. T., Abbasion, S., and Mirsayar, M. M., "Buckling analysis of a single-layer graphene sheet embedded in an elastic medium based on nonlocal Mindlin plate theory," Mechanics Research Communications, Vol. 38, pp. 481-485, 2011.
5
[6] Farajpour, A., Danesh, M., and M. Mohammadi, "Buckling analysis of variable thickness nanoplates using nonlocal continuum mechanics," Physica E: Low-dimensional Systems and Nanostructures, Vol. 44, pp. 719-727, 2011.
6
[7] Farajpour, A., Shahidi, A. R., Mohammadi, M., and Mahzoon, M., "Buckling of orthotropic micro/nanoscale plates under linearly varying in-plane load via nonlocal continuum mechanics," Composite Structures, Vol. 94, pp. 1605-1615, 2012.
7
[8] Murmu, T., Sienz, J., Adhikari, S., and Arnold, C., "Nonlocal buckling of double-nanoplate-systems under biaxial compression," Composites Part B: Engineering, Vol. 44, pp. 84-94, 2013.
8
[9] Radić, N., Jeremić, D., Trifković, S., and Milutinović, M., "Buckling analysis of double-orthotropic nanoplates embedded in Pasternak elastic medium using nonlocal elasticity theory," Composites Part B: Engineering, Vol. 61, pp. 162-171, 2014.
9
[10] Golmakani, M. E., and Rezatalab, J., "Nonuniform biaxial buckling of orthotropic nanoplates embedded in an elastic medium based on nonlocal Mindlin plate theory," Composite Structures, Vol. 119, pp. 238-250, 2015.
10
[11] Arani, A. G., Maghamikia, S., Mohammadimehr, M., and Arefmanesh, A., "Buckling analysis of laminated composite rectangular plates reinforced by SWCNTs using analytical and finite element methods," Journal of Mechanical Science and Technology, Vol. 25, pp. 809-820, 2011.
11
[12] Jam, J. E., and Maghamikia, S., "Elastic buckling of composite plate reinforced with carbon nano tubes," International Journal of Engineering Science and Technology, Vol. 3, pp. 4090-4101, 2011.
12
[13] Mohammadimehr, M., Mohandes, M., and Moradi, M., "Size dependent effect on the buckling and vibration analysis of double-bonded nanocomposite piezoelectric plate reinforced by boron nitride nanotube based on modified couple stress theory," Journal of Vibration and Control, 2014.
13
[14] Asadi, E., and Jam, J. E., "Analytical and Numerical Buckling Analysis of Carbon Nanotube Reinforced Annular Composite Plates," Int J Advanced Design and Manufacturing Technology, Vol. 7, pp. 35-44, 2014.
14
[15] Mohammadimehr, M., Rousta-Navi, B., and Ghorbanpour-Arani, A., "Biaxial Buckling and Bending of Smart Nanocomposite Plate Reinforced by CNTs using Extended Mixture Rule Approach," Mechanics of Advanced Composite Structures, Vol. 1, pp. 17-26, 2014.
15
[16] Ghorbanpour Arani, A., Jamali, M., Mosayyebi, M., and Kolahchi, R., "Wave propagation in FG-CNT-reinforced piezoelectric composite micro plates using viscoelastic quasi-3D sinusoidal shear deformation theory," Composites Part B: Engineering, Vol. 95, pp. 209-224, 2016.
16
[17] Ghorbanpour Arani, A., Jamali, M., Ghorbanpour-Arani, A., Kolahchi, R., and Mosayyebi, M., "Electro-magneto wave propagation analysis of viscoelastic sandwich nanoplates considering surface effects," Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2016.
17
[18] Wattanasakulpong, N., and Chaikittiratana, A., "Exact solutions for static and dynamic analyses of carbon nanotube-reinforced composite plates with Pasternak elastic foundation," Applied Mathematical Modelling, Vol. 39, pp. 5459-5472, 2015.
18
[19] Ashoori Movassagh, A., and Mahmoodi, M. J., "A micro-scale modeling of Kirchhoff plate based on modified strain-gradient elasticity theory," European Journal of Mechanics - A/Solids, Vol. 40, pp. 50-59, 2013.
19
[20] Ghorbanpour Arani, A., and Shokravi, M., "Vibration response of visco-elastically coupled double-layered visco-elastic graphene sheet systems subjected to magnetic field via strain gradient theory considering surface stress effects," Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanoengineering and Nanosystems, 2014.
20
[21] Ghorbanpour Arani, A., Jamali, M., Mosayyebi, M., and Kolahchi, R., "Analytical modeling of wave propagation in viscoelastic functionally graded carbon nanotubes reinforced piezoelectric microplate under electro-magnetic field," Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanoengineering and Nanosystems, 2015.
21
[22] Pan, Z., Cheng, Y., and Liu, J., "A semi-analytical analysis of the elastic buckling of cracked thin plates under axial compression using actual non-uniform stress distribution," Thin-Walled Structures, Vol. 73, pp. 229-241, 2013.
22
[23] Ghorbanpour Arani, A., Kolahchi, R., Mosayyebi, M., and Jamali, M., "Pulsating fluid induced dynamic instability of visco-double-walled carbon nano-tubes based on sinusoidal strain gradient theory using DQM and Bolotin method," International Journal of Mechanics and Materials in Design, pp. 1-22, 2014.
23
[24] Reddy, J. N., "Mechanics of Laminated Composite Plates and Shells: Theory and Analysis," second edition ed: CRC Press, 2003.
24
[25] Ghorbanpour Arani, A., Kolahchi, R., and Vossough, H., "Buckling analysis and smart control of SLGS using elastically coupled PVDF nanoplate based on the nonlocal Mindlin plate theory," Physica B: Condensed Matter, Vol. 407, pp. 4458-4465, 2012.
25
[26] Lam, K. Y., Hung, K. C., and Chow, S. T., "Vibration analysis of plates with cutouts by the modified Rayleigh-Ritz method," Applied Acoustics, Vol. 28, pp. 49-60, 1989.
26
[27] Lam K. Y., and Hung, K. C., "Orthogonal polynomials and sub-sectioning method for vibration of plates," Computers & Structures, Vol. 34, pp. 827-834, 1990.
27
[28] Liew, K. M., Hung, K. C., and Lim, M. K., "Method of domain decomposition in vibrations of mixed edge anisotropic plates," International Journal of Solids and Structures, Vol. 30, pp. 3281-3301, 1993.
28
[29] Liew, K. M., Hung, K. C., and Sum, Y. K., "Flexural vibration of polygonal plates: treatments of sharp re-entrant corners," Journal of Sound and Vibration, Vol. 183, pp. 221-238, 1995.
29
[30] Liew, K. M., Kitipornchai, S., Leung, A. Y. T., and Lim, C. W., "Analysis of the free vibration of rectangular plates with central cut-outs using the discrete Ritz method," International Journal of Mechanical Sciences, Vol. 45, pp. 941-959, 2003.
30
[31] Bhat, R. B., " Natural frequencies of rectangular plates using characteristic orthogonal polynomials in rayleigh-ritz method," Journal of Sound and Vibration, Vol. 102, pp. 493-499, 1985.
31
[32] Lam, K. Y., and Hung, K. C., "Vibration study on plates with stiffened openings using orthogonal polynomials and partitioning method," Computers & Structures, Vol. 37, pp. 295-301, 1990.
32
[33] Liew, K. M., Ng, T. Y., and Kitipornchai, S., "A semi-analytical solution for vibration of rectangular plates with abrupt thickness variation," International Journal of Solids and Structures, Vol. 38, pp. 4937-4954, 2001.
33
[34] Shams, S., and Soltani, B., "Buckling of Laminated Carbon Nanotube-Reinforced Composite Plates on Elastic Foundations Using a Meshfree Method," Arabian Journal for Science and Engineering, Vol. 41, pp. 1981-1993, 2016.
34
[35] Pradhan, S. C., and Murmu, T., "Small scale effect on the buckling of single-layered graphene sheets under biaxial compression via nonlocal continuum mechanics," Computational Materials Science, Vol. 47, pp. 268-274, 2009.
35
ORIGINAL_ARTICLE
Optimum Design of FGX-CNT-Reinforced Reddy Pipes Conveying Fluid Subjected to Moving Load
The harmony search algorithm is applied to the optimum designs of functionally graded (FG)-carbon nanotubes (CNTs)-reinforced pipes conveying fluid which are subjected to a moving load. The structure is modeled by the Reddy cylindrical shell theory, and the motion equations are derived by Hamilton's principle. The dynamic displacement of the system is derived based on the differential quadrature method (DQM). Moreover, the length, thickness, diameter, velocity, and acceleration of the load, the temperature and velocity of the fluid, and the volume fraction of CNT are considered for the design variables. The results illustrate that the optimum diameter of the pipe is decreased by increasing the volume percentage of CNTs. In addition, by increasing the moving load velocity and acceleration, the FS is decreased.
http://jacm.scu.ac.ir/article_12544_8439163f47cc18036b3a34177e7975fe.pdf
2016-12-01T11:23:20
2018-06-20T11:23:20
243
253
10.22055/jacm.2016.12544
Optimization
Pipe
Moving load
Conveying fluid
DQM
Farid
Vakili Tahami
true
1
Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran
Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran
Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran
AUTHOR
Hasan
Biglari
true
2
Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran
Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran
Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran
AUTHOR
Morteza
Raminnea
m.raminnia@tabrizu.ac.ir
true
3
Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran
Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran
Faculty of Mechanical Engineering, University of Tabriz, Tabriz, Iran
LEAD_AUTHOR
[1] Keshtegar, B. and Oukati Sadeq, M., “Gaussian global-best harmony search algorithm for optimization problems”, Soft Computing, 2016, doi:10.1007/s00500-00016-02274-z.
1
[2] Geem, Z.W., Kim, J.H. and Loganathan, G., “A new heuristic optimization algorithm: harmony search”, Simulation, Vol. 76, pp. 60-68, 2001.
2
[3] Lee, K.S. and Geem, Z.W., “A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice”, Computer methods in applied mechanics and engineering, Vol. 194, pp. 3902-3933, 2005.
3
[4] Omran, M.G. and Mahdavi, M., “Global-best harmony search”, Applied mathematics and computation, Vol. 198, pp. 643-656, 2008.
4
[5] Hermann, G. and Baker, E.H., “Response of cylindrical sandwich shells to moving loads”, Transaction ASME Journal of Applied Mechanics, Vol. 34, pp. 1–8, 1967.
5
[6] Huang, C.C., “Moving loads on elastic cylindrical shells”, Journal of Sound and Vibrations, Vol. 49, pp. 215–20, 1976.
6
[7] Chonan, S., “Moving load on a two-layered cylindrical shell with imperfect bonding”, The Journal of the Acoustical Society of America, Vol. 69, pp. 1015–20, 1981.
7
[8] Panneton, R., Berry, A. and Laville F., “Vibration and sound radiation of a cylindricalshell under a circumferentially moving load”, The Journal of the Acoustical Society of America, Vol. 98, pp. 2165–73, 1995.
8
[9] Mirzaei, M., Biglari, H. and Slavatian, M., “Analytical and numerical modeling of the transient elasto-dynamic response of a cylindrical tube to internal gaseous detonation”, International Journal of Pressure Vessels and Piping, Vol. 83, pp. 531–539, 2006.
9
[10] Ruzzene, M. and Baz, A., “Dynamic stability of periodic shells with moving loads. Journal of Sound and Vibrations, Vol. 296, pp. 830–44, 2006.
10
[11] Eftekhari, S.A., “Differential quadrature procedure for in-plane vibration analysis of variable thickness circular arches traversed by a moving point load”, Applied Mathematical Modelling, Vol. 40, pp. 4640-4663, 2016.
11
[12] Wang, Y. and Wu, D., “Thermal effect on the dynamic response of axially functionally graded beam subjected to a moving harmonic load”, Acta Astronautica, Vol. 127, pp. 17-181, 2016.
12
[13]Reddy, J.N., “A Simple Higher Order Theory for Laminated Composite Plates”, Journal of Applied Mechanics, Vol. 51, pp. 745–752, 1984.
13
[14] Kolahchi, R., Safari, M. and Esmailpour, M., “Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium”, Composite Structures, Vol. 150, pp. 255-265, 2016.
14
[15] Raminnea, M., Biglari, H. and Vakili Tahami, F., “Nonlinear higher order Reddy theory for temperaturedependent vibration and instability of embedded functionally graded pipes conveying fluid-nanoparticle mixture”, Structural Engineering and Mechanics, Vol. 59, pp. 153-186, 2016.
15
[16] Simsek, M. and Kocaturk, T., “Nonlinear dynamic analysis of an eccentrically prestressed damped beam under a concentrated moving harmonic load”, Journal of Sound and Vibration, Vol. 320, pp. 235–253, 2009.
16
ORIGINAL_ARTICLE
Dynamic Buckling of Embedded Laminated Nanocomposite Plates Based on Sinusoidal Shear Deformation Theory
In this study, the dynamic buckling of the embedded laminated nanocomposite plates is investigated. The plates are reinforced with the single-walled carbon nanotubes (SWCNTs), and the Mori-Tanaka model is applied to obtain the equivalent material properties of them. Based on the sinusoidal shear deformation theory (SSDT), the motion equations are derived using the energy method and Hamilton's principle. The Navier’s method is used in conjunction with the Bolotin's method for obtaining the dynamic instability region (DIR) of the structure. The effects of different parameters such as the volume percentage of SWCNTs, the number and orientation angle of the layers, the elastic medium, and the geometrical parameters of the plates are shown on DIR of the structure. Results indicate that by increasing the volume percentage of SWCNTs the resonance frequency increases, and DIR shifts to right. Moreover, it is found that the present results are in good agreement with the previous researches.
http://jacm.scu.ac.ir/article_12545_eecf15733cad60a7a1ab57a7de000b8b.pdf
2016-12-01T11:23:20
2018-06-20T11:23:20
254
261
10.22055/jacm.2016.12545
Dynamic buckling
Nanocomposite laminated plates
elastic medium
SSDT
Bolotin method
Mohammd
Sharif Zarei
true
1
Faculty of Engineering, Ayatollah Boroujerdi University, Boroujerd, Iran
Faculty of Engineering, Ayatollah Boroujerdi University, Boroujerd, Iran
Faculty of Engineering, Ayatollah Boroujerdi University, Boroujerd, Iran
AUTHOR
Mohammad Hadi
Hajmohammad
hadi.hajmohammad@gmail.com
true
2
Department of mechanical engineering, Imam hossein University, Tehran, Iran
Department of mechanical engineering, Imam hossein University, Tehran, Iran
Department of mechanical engineering, Imam hossein University, Tehran, Iran
LEAD_AUTHOR
Ali
Nouri
true
3
Department of mechanical engineering, Imam hossein University, Tehran, Iran
Department of mechanical engineering, Imam hossein University, Tehran, Iran
Department of mechanical engineering, Imam hossein University, Tehran, Iran
AUTHOR
[1] Matsunag, H., “Vibration and stability of cross-ply laminated composite plates according to a global higher-order plate theory”, Composite Structures, Vol. 48, pp. 231-244, 2000.
1
[2] Kim, T.W. and Kim, J.H., “Nonlinear vibration of viscoelastic laminated composite plates”, International Journal of Solids and Structures, Vol. 39, pp. 2857–2870, 2002.
2
[3] Malekzadeh, P., Fiouz, A.R. and Razi, H., “Three-dimensional dynamic analysis of laminated composite plates sujected to moving load”, Composite Structures, Vol. 90, pp. 105–114, 2009.
3
[4] Dinis, L.M.J.S., Natal Jorge, R.M. and Belinha, J., “Static and dynamic analysis of laminated plates based on an unconstrained third order theory and using a radial point interpolator meshless method”, Computers and Structures, Vol. 89, pp. 1771–1784, 2011.
4
[5] Honda, Sh., Kumagai, T., Tomihashi, K. and Narita, Y., “Frequency maximization of laminated sandwich plates under general boundary conditions using layerwise optimization method with refined zigzag theory”, Journal of Sound and Vibration, Vol. 332, pp. 6451–6462, 2013.
5
[6] Sahoo, R. and Singh, B.N., “A new shear deformation theory for the static analysis of laminated composite and sandwich plates”, International Journal of Mechanical Sciences, Vol. 75, pp. 324–336, 2013.
6
[7] Heydari, M.M., Kolahchi, R., Heydari, M. and Abbasi, A., “Exact solution for transverse bending analysis of embedded laminated Mindlin plate”, Structural Engineering and Mechanics, Vol. 49(5), pp. 661–672, 2014.
7
[8] Saidi, H., Tounsi, A. and Bousahla, A.A., “A simple hyperbolic shear deformation theory for vibration analysis of thick functionally graded rectangular plates resting on elastic foundations”, Geomechanics and Engineering, Vol. 11, pp. 289-307, 2016.
8
[9] Awrejcewicz, J., Kurpa, L. and Mazur, O., “Dynamical instability of laminated plates with external cutout”, International Journal of Non-Linear Mechanics, Vol. 81, pp. 103–114, 2016.
9
[10] Liang, K., “Koiter–Newton analysis of thick and thin laminated composite plates using a robust shell element”, Composite Structures, Vol. 161, pp. 530-539, 2017.
10
[11] Thai, H.T. and Kim, S.E., “A simple quasi-3D sinusoidal shear deformation theory for functionally graded plates”, Composite Structures, Vol. 99, pp. 172-178, 2013.
11
[12] Reddy, J.N., “A Simple Higher Order Theory for Laminated Composite Plates”, Journal of Applied Mechanics, Vol. 51, pp. 745–752, 1984.
12
[13] Shi, D.L.and Feng, X.Q., “The Effect of Nanotube Waviness and Agglomeration on the elastic Property of Carbon Nanotube-Reinforced Composties”, Journal of Engineering Materials and Technology, Vol. 126, pp. 250-270, 2004.
13
[14] Kolahchi, R., Safari, M. and Esmailpour, M., “Dynamic stability analysis of temperature-dependent functionally graded CNT-reinforced visco-plates resting on orthotropic elastomeric medium”, Composite Structures, Vol. 150, pp. 255-265, 2016.
14
[15] Akhavan, H., Hosseini Hashemi, Sh., Rokni Damavandi Taher, H., Alibeigloo, A. and Vahabi, Sh., “Exact solutions for rectangular Mindlin plates under in-plane loads resting on Pasternak elastic foundation. Part I: Buckling analysis”, Computational Material and Science, Vol. 44, pp. 968–978, 2009.
15
[16] Phung-Van, P., De Lorenzis, L., Thai, Ch.H., Abdel-Wahab, M. and Nguyen-Xuan, H., “Analysis of laminated composite plates integrated with piezoelectric sensors and actuators using higher-order shear deformation theory and isogeometric finite elements”, Computational Material and Science, Vol. 96, pp. 495–505, 2015.
16
[17] Putcha, N.S. and Reddy, J.N., “Stability and natural vibration analysis of laminated plates by using a mixed element based on a refined plate theory”, Journal of Sound and Vibration, Vol. 104, pp. 285–300, 1986.
17