Acknowledgement
Supported by : University of Kashan
References
- Abdel-Rahman, E.M., Younis, M.I. and Nayfeh, A.H. (2002), "Characterization of the mechanical behavior of an electrically actuated microbeam", J. Micromech. Microeng., 12(6), 759. https://doi.org/10.1088/0960-1317/12/6/306
- Alibeigloo, A. (2014), "Three-dimensional thermoelasticity solution of functionally graded carbon nanotube reinforced composite plate embedded in piezoelectric sensor and actuator layers", Compos. Struct., 118, 482-495. https://doi.org/10.1016/j.compstruct.2014.08.004.
- Amir, S. (2016), "Orthotropic patterns of visco-Pasternak foundation in nonlocal vibration of orthotropic graphene sheet under thermo-magnetic fields based on new first-order shear deformation theory", Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, https://doi.org/10.1177/2F1464420716670929.
- Amir, S., Bidgoli, E.M.R. and Arshid, E. (2018), "Size-dependent vibration analysis of a three-layered porous rectangular nano plate with piezo-electromagnetic face sheets subjected to pre loads based on SSDT", Mech. Adv. Mater. Struct., 1-15. https://doi.org/10.1080/15376494.2018.1487612.
- Amir, S., Khani, M., Shajari, A.R. and Dashti, P. (2017), "Instability analysis of viscoelastic CNTs surrounded by a thermo-elastic foundation", Strcut. Eng. Mech., 63(2), 171-180. https://doi.org/10.12989/sem.2017.63.2.171.
- Ansari, R. and Gholami, R. (2016), "Nonlocal free vibration in the pre-and post-buckled states of magneto-electro-thermo elastic rectangular nanoplates with various edge conditions", Smart Mater. Struct., 25(9), 95033. https://doi.org/10.1088/0964-1726/25/9/095033
- Aragh, B. S., Barati, A. H. N. and Hedayati, H. (2012), "Eshelby-Mori-Tanaka approach for vibrational behavior of continuously graded carbon nanotube-reinforced cylindrical panels", Compos. Part B, 43(4), 1943-1954. https://doi.org/10.1016/j.compositesb.2012.01.004.
- Arefi, M., Bidgoli, E.M.R. and Zenkour, A.M. (2018), "Sizedependent free vibration and dynamic analyses of a sandwich microbeam based on higher-order sinusoidal shear deformation theory and strain gradient theory", Smart Struct. Syst., 22(1), 27-40. https://doi.org/10.12989/SSS.2018.22.1.027
- Arshid, E. and Khorshidvand, A.R. (2017), "Flexural vibrations analysis of saturated porous circular plates using differential quadrature method", Iran J. Mech. Eng. Transac. ISME, 19(1), 78-100.
- Arshid, E. and Khorshidvand, A.R. (2018), "Free vibration analysis of saturated porous FG circular plates integrated with piezoelectric actuators via differential quadrature method", Thin Wall. Struct., 125(January), 220-233. https://doi.org/10.1016/j.tws.2018.01.007.
- Arshid, E., Kiani, A. and Amir, S. (2019), "Magneto-electro-elastic vibration of moderately thick FG annular plates subjected to multi physical loads in thermal environment using GDQ method by considering neutral surface", Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications. https://doi.org/10.1177/1464420719832626.
- Ashrafi, B., Hubert, P. and Vengallatore, S. (2006), "Carbon nanotube-reinforced composites as structural materials for microactuators in microelectromechanical systems", Nanotechnol., 17(19), 4895. https://doi.org/10.1088/0957-4484/17/19/019
- Belmahi, S., Zidour, M., Meradjah, M., Bensattalah, T. and Dihaj, A. (2018), "Analysis of boundary conditions effects on vibration of nanobeam in a polymeric matrix", Struct. Eng. Mech., 67(5), 517-525. https://doi.org/10.12989/sem.2018.67.5.517.
- Bennoun, M., Houari, M.S.A. and Tounsi, A. (2016), "A novel five-variable refined plate theory for vibration analysis of functionally graded sandwich plates", Mech. Adv. Mater. Struct., 23(4), 423-431. https://doi.org/10.1080/15376494.2014.984088.
- Bhardwaj, G., Singh, I.V., Mishra, B.K. and Bui, T.Q. (2015), "Numerical simulation of functionally graded cracked plates using NURBS based XIGA under different loads and boundary conditions", Compos. Struct., 126, 347-359. https://doi.org/10.1016/j.compstruct.2015.02.066.
- Bui, T.Q., Do, T.V., Ton, L.H.T., Doan, D.H., Tanaka, S., Pham, D.T. and Hirose, S. (2016), "On the high temperature mechanical behaviors analysis of heated functionally graded plates using FEM and a new third-order shear deformation plate theory", Compos. Part B, 92, 218-241. https://doi.org/10.1016/j.compositesb.2016.02.048.
- Cong, P. H., Chien, T. M., Khoa, N. D. and Duc, N. D. (2018), "Nonlinear thermomechanical buckling and post-buckling response of porous FGM plates using Reddy's HSDT", Aerosp. Sci. Technol., 77, 419-428. https://doi.org/10.1016/j.ast.2018.03.020.
- Das, Y. C. (1964), "Vibrations of orthotropic cylindrical shells", Applied Scientific Research, Section A, 12(4-5), 317-326. https://doi.org/10.1007/BF03185004.
- Dong, S.B. (1968), "Free vibration of laminated orthotropic cylindrical shells", J. Acoustic. Soc. America, 44(6), 1628-1635. https://doi.org/10.1121/1.1911306.
- Duc, N.D. and Quan, T.Q. (2015), "Nonlinear dynamic analysis of imperfect functionally graded material double curved thin shallow shells with temperature-dependent properties on elastic foundation", J. Vib. Control, 21(7), 1340-1362. https://doi.org/10.1177/1077546313494114.
- El-Haina, F., Bakora, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S.R. (2017), "A simple analytical approach for thermal buckling of thick functionally graded sandwich plates", Struct. Eng. Mech., 63(5), 585-595. https://doi.org/10.12989/sem.2017.63.5.585.
- Forsberg, K. (1964), "Influence of boundary conditions on the modal characteristics of thin cylindrical shells", AIAA J., 2(12), 2150-2157. https://doi.org/10.2514/3.55115.
- Ganesan, N. and Sivadas, K.R. (1990), "Vibration analysis of orthotropic shells with variable thickness", Comput. Struct., 35(3), 239-248. https://doi.org/10.1016/0045-7949(90)90343-Z.
- Ghorbanpour Arani, A., Haghparast, E. and BabaAkbar-Zarei, H. (2017a), "Vibration analysis of functionally graded nanocomposite plate moving in two directions", Steel Compos. Struct., 23(5), 529-541. https://doi.org/10.12989/scs.2017.23.5.529.
- Ghorbanpour Arani, A., Roudbari, M.A. and Amir, S. (2016a), "Longitudinal magnetic field effect on wave propagation of fluid-conveyed SWCNT using Knudsen number and surface considerations", Appl. Math. Model., 40(3), 2025-2038. https://doi.org/10.1016/j.apm.2015.09.055.
- Ghorbanpour Arani, A., Maraghi, Z.K. and Ferasatmanesh, M. (2017b), "Theoretical investigation on vibration frequency of sandwich plate with PFRC core and piezomagnetic face sheets under variable in-plane load", Struct. Eng. Mech., 63(1), 65-76. https://doi.org/10.12989/sem.2017.63.1.065.
- Ghorbanpour Arani A., Mohammadimehr M., Saidi A. R., Shogaei S. and Arefmanesh A. (2011a), "Thermal buckling analysis of double-walled carbon nanotubes considering the small-scale length effect", Proc. IMechE, Part C, J. Mech. Eng. Sci., 225(1), 248-256. https://doi.org/10.1177/09544062JMES1975.
- Ghorbanpour Arani A., Hashemian M., Loghman A. and Mohammadimehr M. (2011b), "Study of dynamic stability of the double-walled carbon nanotubes under axial loading embedded in an elastic medium by the energy method", J. Appl. Mech. Technical Physics, 52(5), 815-824. https://doi.org/10.1134/S0021894411050178.
- Ghorbanpour Arani, A., Mobarakeh, M.R., Shams, S. and Mohammadimehr, M. (2012), "The effect of CNT volume fraction on the magneto-thermo-electro-mechanical behavior of smart nanocomposite cylinder", J. Mech. Sci. Technol., 26(8), 2565-2572. https://doi.org/10.1007/s12206-012-0639-5.
- Ghorbanpour Arani, A., BabaAkbar-Zarei, H., Pourmousa, P. and Eskandari, M. (2018a), "Investigation of free vibration response of smart sandwich micro-beam on Winkler-Pasternak substrate exposed to multi physical fields", Microsyst. Technol., 24(7), 3045-3060. https://doi.org/10.1007/s00542-017-3681-5.
- Ghorbanpour Arani, A., Haghparast, E. and BabaAkbar-Zarei, H. (2016b), "Vibration of axially moving 3-phase CNTFPC plate resting on orthotropic foundation", Struct. Eng. Mech, 57(1), 105-126. http://dx.doi.org/10.12989/sem.2016.57.1.105.
- Ghorbanpour Arani, A. and Kiani, F. (2018b), "Nonlinear free and forced vibration analysis of microbeams resting on the nonlinear orthotropic visco-Pasternak foundation with different boundary conditions", Steel Compos. Struct., 28(2), 149-165. https://doi.org/10.12989/scs.2018.28.2.149.
- Ghorbanpour Arani, A., Kiani, F. and Afshari, H. (2019), "Free and forced vibration analysis of laminated functionally graded CNT-reinforced composite cylindrical panels", J. Sandwich Struct. Mater., 1099636219830787. https://doi.org/10.1177/1099636219830787.
- Ghorbanpour Arani, A., Pourjamshidian, M. and Arefi, M. (2018c), "Non-linear free and forced vibration analysis of sandwich nano-beam with FG-CNTRC face-sheets based on nonlocal strain gradient theory", Smart Struct. Syst., 22(1), 105-120. https://doi.org/10.12989/SSS.2018.22.1.105
- Greenberg, J.B. and Stavsky, Y. (1980), "Buckling and vibration of orthotropic composite cylindrical shellsBeul-und Schwingverhalten kompositer, orthotroper, zylindrischer Schalen", Acta Mechanica, 36(1-2), 15-29. https://doi.org/10.1007/BF01178233.
- Hu, W.C.L. (1964), "A survey of the literature on the vibrations of thin shells", NASA-CR-58048; Southwest Research InsL, San Antonio, USA.
- Iijima, S. (1991), "Helical microtubules of graphitic carbon", Nature, 354(6348), 56. https://doi.org/10.1038/354056a0.
- Jam, J.E., Pourasghar, A. and Kamarian, S. (2012), "Effect of the aspect ratio and waviness of carbon nanotubes on the vibrational behavior of functionally graded nanocomposite cylindrical panels", Polym. Compos., 33(11), 2036-2044. https://doi.org/10.1002/pc.22346
- Jooybar, N., Malekzadeh, P. and Fiouz, A. (2016), "Vibration of functionally graded carbon nanotubes reinforced composite truncated conical panels with elastically restrained against rotation edges in thermal environment", Compos. Part B, 106, 242-261. https://doi.org/10.1016/j.compositesb.2016.09.030.
- Laiarinandrasana, L., Besson, J., Lafarge, M. and Hochstetter, G. (2009), "Temperature dependent mechanical behaviour of PVDF: experiments and numerical modelling", J. Plasticity, 25(7), 1301-1324. https://doi.org/10.1016/j.ijplas.2008.09.008.
- Lang, Z. and Xuewu, L. (2013), "Buckling and vibration analysis of functionally graded magneto-electro-thermo-elastic circular cylindrical shells", Appl. Math. Model., 37(4), 2279-2292. https://doi.org/10.1016/j.apm.2012.05.023.
- Leissa, A. W. (1973), Vibration of Shells (Vol. 288), Scientific and Technical Information Office, National Aeronautics and Space Administration Washington. USA.
- Liu, B., Xing, Y.F., Qatu, M.S. and Ferreira, A.J.M. (2012), "Exact characteristic equations for free vibrations of thin orthotropic circular cylindrical shells", Compos. Struct., 94(2), 484-493. https://doi.org/10.1016/j.compstruct.2011.08.012.
- Liu, P., Bui, T.Q., Zhu, D., Yu, T.T., Wang, J.W., Yin, S.H. and Hirose, S. (2015), "Buckling failure analysis of cracked functionally graded plates by a stabilized discrete shear gap extended 3-node triangular plate element", Compos. Part B, 77, 179-193. https://doi.org/10.1016/j.compositesb.2015.03.036.
- Liu, S., Yu, T. and Bui, T.Q. (2017), "Size effects of functionally graded moderately thick microplates: A novel non-classical simple-FSDT isogeometric analysis", Europ. J. Mech. A, 66, 446-458. https://doi.org/10.1016/j.euromechsol.2017.08.008.
- Liu, S., Yu, T., Lich, L. Van, Yin, S. and Bui, T.Q. (2019), "Size and surface effects on mechanical behavior of thin nanoplates incorporating microstructures using isogeometric analysis", Comput. Struct., 212, 173-187. https://doi.org/10.1016/j.compstruc.2018.10.009.
- Liu, S., Yu, T., Van Lich, L., Yin, S. and Bui, T. Q. (2018), "Size effect on cracked functional composite micro-plates by an XIGA-based effective approach", Meccanica, 53(10), 2637-2658. https://doi.org/10.1007/s11012-018-0848-9.
- Loja, M.A.R., Soares, C.M.M. and Barbosa, J.I. (2014), "Optimization of magneto-electro-elastic composite structures using differential evolution", Compos. Struct., 107, 276-287. https://doi.org/10.1016/j.compstruct.2013.08.005.
- Malekzadeh, P. and Shojaee, M. (2013), "Buckling analysis of quadrilateral laminated plates with carbon nanotubes reinforced composite layers", Thin Wall. Struct., 71, 108-118. https://doi.org/10.1016/j.tws.2013.05.008.
- Mehar, K., Panda, S. K., Bui, T. Q. and Mahapatra, T. R. (2017), "Nonlinear thermoelastic frequency analysis of functionally graded CNT-reinforced single/doubly curved shallow shell panels by FEM", J. Therm. Stress, 40(7), 899-916. https://doi.org/10.1080/01495739.2017.1318689.
- Meksi, A., Benyoucef, S., Houari, M. S. A. and Tounsi, A. (2015), "A simple shear deformation theory based on neutral surface position for functionally graded plates resting on Pasternak elastic foundations", Struct. Eng. Mech., 53(6), 1215-1240. https://doi.org/10.12989/sem.2015.53.6.1215
- Mohammadimehr, M., Akhavan Alavi, S. M., Okhravi, S. V and Edjtahed, S. H. (2018a), "Free vibration analysis of micromagneto-electro-elastic cylindrical sandwich panel considering functionally graded carbon nanotube-reinforced nanocomposite face sheets, various circuit boundary conditions, and temperature-dependent material properties using high-order sandwich panel theory and modified strain gradient theory", J. Intelligent Mater. Syst. Struct., 29(5), 863-882. https://doi.org/10.1177/1045389X17721048.
- Mohammadimehr, M., Emdadi, M. and Rousta Navi, B. (2018c), "Dynamic stability analysis of microcomposite annular sandwich plate with carbon nanotube reinforced composite facesheets based on modified strain gradient theory", J. Sandwich Struct. Mater., https://doi.org/10.1177/1099636218782770.
- Mohammadimehr, M., Mohandes, M. and Moradi, M. (2016a), "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", J. Vib. Control, 22(7), 1790-1807. https://doi.org/10.1177/1077546314544513.
- Mohammadimehr, M., Moradi, M. and Loghman, A. (2014), "Influence of the elastic foundation on the free vibration and buckling of thin-walled piezoelectric-based FGM cylindrical shells under combined loadings", J. Solid Mech, 6(4), 347-365.
- Mohammadimehr, M. and Mostafavifar, M. (2016), "Free vibration analysis of sandwich plate with a transversely flexible core and FG-CNTs reinforced nanocomposite face sheets subjected to magnetic field and temperature-dependent material properties using SGT", Compos. Part B, 94, 253-270. https://doi.org/10.1016/j.compositesb.2016.03.030.
- Mohammadimehr, M., Rousta Navi, B. and Arani, A.G. (2015), "Free vibration of viscoelastic double-bonded polymeric nanocomposite plates reinforced by FG-SWCNTs using MSGT, sinusoidal shear deformation theory and meshless method", Compos. Struct., 131, 654-671. https://doi.org/10.1016/j.compstruct.2015.05.077
- Mohammadimehr, M., Rousta Navi, B. and Arani, A.G. (2016b), "Modified strain gradient Reddy rectangular plate model for biaxial buckling and bending analysis of double-coupled piezoelectric polymeric nanocomposite reinforced by FGSWNT", Compos. Part B, 87, 132-148. https://doi.org/10.1016/j.compstruct.2015.05.077.
- Mohammadimehr, M., Okhravi, S.V and Akhavan Alavi, S.M. (2018b), "Free vibration analysis of magneto-electro-elastic cylindrical composite panel reinforced by various distributions of CNTs with considering open and closed circuits boundary conditions based on FSDT", J. Vib. Control, 24(8), 1551-1569. https://doi.org/10.1177/1077546316664022.
- Mohammadimehr, M., Saidi, A.R., Ghorbanpour Arani, A., Arefmanesh, A. and Han Q. (2010), "Torsional Buckling of a DWCNT Embedded on Winkler and Pasternak Foundations Using Nonlocal Theory", J. Mech. Sci. Tech., 24(6), 1289-1299. https://doi.org/10.1007/s12206-010-0331-6.
- Mohammadimehr, M., Rousta Navi, B. and Ghorbanpour Arani, A. (2017a), "Dynamic stability of MSGT sinusoidal viscoelastic piezoelectric polymeric FG-SWNT reinforced nanocomposite plate considering surface stress and agglomeration effects under hydro-thermo-electro-magneto-mechanical loadings", Mech. Adv. Mater. Struct., 24, 1325-1342. http://dx.doi.org/10.1080/15376494.2016.1227507.
- Mohammadimehr, M., Salemi, M. and Navi, B.R. (2016c), "Bending, buckling, and free vibration analysis of MSGT microcomposite Reddy plate reinforced by FG-SWCNTs with temperature-dependent material properties under hydro-thermomechanical loadings using DQM", Compos. Struct., 138, 361-380. https://doi.org/10.1016/j.compstruct.2015.11.055.
- Mohammadimehr, M., Zarei, H. B., Parakandeh, A. and Arani, A. G. (2017b), "Vibration analysis of double-bonded sandwich microplates with nanocomposite facesheets reinforced by symmetric and un-symmetric distributions of nanotubes under multi physical fields", Struct. Eng. Mech., 64(3), 361-379. https://doi.org/10.12989/sem.2017.64.3.361.
- Mohammadimehr, M., Rostami, R. and Arefi, M. (2016d), "Electro-elastic analysis of a sandwich thick plate considering FG core and composite piezoelectric layers on Pasternak foundation using TSDT", Steel Compos. Struct., 20(3), 513-544. https://doi.org/10.12989/scs.2016.20.3.513.
- Mohammadimehr, M. and Rahmati, A.H. (2013), "Small scale effect on electro-thermo-mechanical vibration analysis of single-walled boron nitride nanorods under electric excitation", Turkish J. Eng. Environ. Sci., 37(1), 1-15.
- Mohammadimehr M. and Shahedi S. (2017) "High-order buckling and free vibration analysis of two types sandwich beam including AL or PVC-foam flexible core and CNTs reinforced nanocomposite face sheets using GDQM", Compos. Part B Eng., 108, 91-107. https://doi.org/10.1016/j.compositesb.2016.09.040.
- Nasihatgozar, M., Daghigh, V., Eskandari, M., Nikbin, K. and Simoneau, A. (2016), "Buckling analysis of piezoelectric cylindrical composite panels reinforced with carbon nanotubes", J. Mech. Sci., 107, 69-79. https://doi.org/10.1016/j.ijmecsci.2016.01.010.
- Ozdemir, Y.I. (2018), "Using fourth order element for free vibration parametric analysis of thick plates resting on elastic foundation", Struct. Eng. Mech., 65(3), 213-222. https://doi.org/10.12989/sem.2018.65.3.213.
- Qatu, M.S. (2002), "Recent research advances in the dynamic behavior of shells: 1989-2000, Part 1: Laminated composite shells", Appl. Mech. Rev., 55(4), 325-350. https://doi.org/10.1115/1.1483079.
- Qatu, M.S. (2004), Vibration of Laminated Shells and Plates, Elsevier, The Netherlands.
- Qatu, M.S., Sullivan, R.W. and Wang, W. (2010), "Recent research advances on the dynamic analysis of composite shells: 2000-2009", Compos. Struct., 93(1), 14-31. https://doi.org/10.1016/j.compstruct.2010.05.014.
- Razavi, S. and Shooshtari, A. (2015), "Nonlinear free vibration of magneto-electro-elastic rectangular plates", Compos. Struct., 119, 377-384. https://doi.org/10.1016/j.compstruct.2014.08.034.
- Reddy, J. N. (2004), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC press, Florida, U.S.A.
- Shen, H.S. (2011a), "Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially-loaded shells", Compos. Struct., 93(8), 2096-2108. https://doi.org/10.1016/j.compstruct.2011.02.011.
- Shen, H.S. (2011b), "Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part II: Pressure-loaded shells", Compos. Struct., 93(10), 2496-2503. https://doi.org/10.1016/j.compstruct.2011.04.005.
- Shen, H.S. (2012), "Thermal buckling and postbuckling behavior of functionally graded carbon nanotube-reinforced composite cylindrical shells", Compos. Part B, 43(3), 1030-1038. https://doi.org/10.1016/j.compositesb.2011.10.004.
- Shen, H.S. and Xiang, Y. (2012), "Nonlinear vibration of nanotube-reinforced composite cylindrical shells in thermal environments", Comput. Method. Appl. Mech. Eng., 213, 196-205. https://doi.org/10.1016/j.cma.2011.11.025.
- Shen, H.S. and Xiang, Y. (2013), "Postbuckling of nanotubereinforced composite cylindrical shells under combined axial and radial mechanical loads in thermal environment", Compos. Part B, 52, 311-322. https://doi.org/10.1016/j.compositesb.2013.04.034.
- Shen, H.S. and Xiang, Y. (2014), "Nonlinear vibration of nanotube-reinforced composite cylindrical panels resting on elastic foundations in thermal environments", Compos. Struct., 111, 291-300. https://doi.org/10.1016/j.compstruct.2014.01.010.
- Shen, H.S. and Zhang, C.L. (2010), "Thermal buckling and postbuckling behavior of functionally graded carbon nanotubereinforced composite plates", Mater. Design, 31(7), 3403-3411. https://doi.org/10.1016/j.matdes.2010.01.048.
- Shooshtari, A. and Razavi, S. (2016), "Vibration analysis of a magnetoelectroelastic rectangular plate based on a higher-order shear deformation theory", Latin American J. Solids Struct., 13(3), 554-572. http://dx.doi.org/10.1590/1679-78251831.
- Smith, B.L. and Vronay, D.F. (1970), "Free vibration of circular cylindrical shells of finite length", AIAA J., 8(3), 601-603. https://doi.org/10.2514/3.5726.
- Soedel, W. (1983), "Simplified equations and solutions for the vibration of orthotropic cylindrical shells", J. Sound Vib., 87(4), 555-566. https://doi.org/10.1016/0022-460X(83)90506-0
- Soedel, W. (2004), Vibrations of Shells and Plates. CRC Press, Florida, USA.
- Van Do, T., Nguyen, D. K., Duc, N. D., Doan, D. H. and Bui, T. Q. (2017), "Analysis of bi-directional functionally graded plates by FEM and a new third-order shear deformation plate theory", Thin Wall. Struct., 119, 687-699. https://doi.org/10.1016/j.tws.2017.07.022.
- Vu, T. Van, Khosravifard, A., Hematiyan, M. R. and Bui, T. Q. (2018), "A new refined simple TSDT-based effective meshfree method for analysis of through-thickness FG plates", Appl. Math. Model., 57, 514-534. https://doi.org/10.1016/j.apm.2018.01.004.
- Wang, Z.-X. and Shen, H.-S. (2011), "Nonlinear vibration of nanotube-reinforced composite plates in thermal environments", Comput. Mater. Sci., 50(8), 2319-2330. https://doi.org/10.1016/j.commatsci.2011.03.005.
- Wang, Z.-X. and Shen, H.-S. (2012), "Nonlinear dynamic response of nanotube-reinforced composite plates resting on elastic foundations in thermal environments", Nonlinear Dynam., 70(1), 735-754. https://doi.org/10.1007/s11071-012-0491-2.
- Wattanasakulpong, N. and Bui, T. Q. (2018), "Vibration analysis of third-order shear deformable FGM beams with elastic support by Chebyshev collocation method", J. Struct. Stability Dynam., 18(05), https://doi.org/10.1142/S0219455418500712.
- Xuebin, L. (2006), "A new approach for free vibration analysis of thin circular cylindrical shell", J. Sound Vib., 296(1-2), 91-98. https://doi.org/10.1016/j.jsv.2006.01.065.
- Yahiaoui, M., Tounsi, A., Fahsi, B., Bouiadjra, R.B. and Benyoucef, S. (2018), "The role of micromechanical models in the mechanical response of elastic foundation FG sandwich thick beams", Struct. Eng. Mech., 68(1), 53-66. https://doi.org/10.12989/sem.2018.68.1.053
- Yas, M. H., Pourasghar, A., Kamarian, S. and Heshmati, M. (2013), "Three-dimensional free vibration analysis of functionally graded nanocomposite cylindrical panels reinforced by carbon nanotube", Mater. Design, 49, 583-590. https://doi.org/10.1016/j.matdes.2013.01.001.
- Yin, S., Yu, T., Bui, T. Q., Liu, P. and Hirose, S. (2016a), "Buckling and vibration extended isogeometric analysis of imperfect graded Reissner-Mindlin plates with internal defects using NURBS and level sets", Comput. Struct., 177, 23-38. https://doi.org/10.1016/j.compstruc.2016.08.005.
- Yin, S., Yu, T., Bui, T. Q., Zheng, X. and Tanaka, S. (2016b), "Inplane material inhomogeneity of functionally graded plates: A higher-order shear deformation plate isogeometric analysis", Compos. Part B, 106, 273-284. https://doi.org/10.1016/j.compositesb.2016.09.008.
- Yu, T., Bui, T. Q., Liu, P. and Hirose, S. (2016), "A stabilized discrete shear gap extended finite element for the analysis of cracked Reissner-Mindlin plate vibration problems involving distorted meshes", J. Mech. Mater. Design, 12(1), 85-107. https://doi.org/10.1007/s10999-014-9282-x.
- Zaoui, F. Z., Ouinas, D. and Tounsi, A. (2019), "New 2D and quasi-3D shear deformation theories for free vibration of functionally graded plates on elastic foundations", Compos. Part B, 159, 231-247. https://doi.org/10.1016/j.compositesb.2018.09.051.
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