Khorshidi, K., Siahpush, A., & Fallah, A. “Electro-Mechanical free vibrations analysis of composite rectangular piezoelectric nanoplate using modified shear deformation theories,” In Persian, Journal of Science and Technology of Composite, Vol. 4, No. 1, pp. 151- 160, 2017.
 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, Vol. 2, No. 2, pp. 79- 93, 2015.
 Khorshidi, K., & Bakhsheshy, A. “Free vibration analysis of a functionally graded rectangular plate in contact with a bounded fluid,” Acta Mechanica, Vol. 226, No. 10, pp. 3401-3423, 2015.
 Zhang, D.G. and Zhou, Y.H., “A theoretical analysis of FGM thin plates based on physical neutral surface,” Computational Materials Science, Vol. 44, No. 2, pp. 716–720, 2008.
 Abrate, S., “Functionally graded plates behave like homogeneous plates,” Composites Part B: Engineering, Vol. 39, No. 1, pp. 151–158, 2008.
 Najafizadeh, M.M. and Alayval, A., “Investigation of free vibrations of gunctionally graded rectangular plate using first-order shear deformation theory,” In Persian, Iranian society of mechanical engineering, Vol. 7, No. 1, pp. 52- 68, 2006.
 Khorshidi, K., Bakhsheshi, A. and Ghadirian, H., “The Study of the Effects of Thermal Environment on Free Vibration Analysis of Two Dimensional Functionally Graded Rectangular Plates on Pasternak Elastic Foundation,” In Persian, Journal of solid and fluid mechanics, Vol. 6, No. 3, pp. 137-147, 2017.
 Hosseini Hashemi, SH., Akhavan and Fadaee, M. “Exact closed-form free vibration analysis of moderately thick rectangular functionally graded plates with two bonded piezoelectric layers,” In Persian, Journal of Modares mechanical engineering, Vol. 11, No. 3, pp. 57-74, 2012.
 Abbasi, M., Najafizadeh, S.S.M. and Nezamabadi, A., “Vibration of two-dimensional functionally graded plate based on first-order shear deformation theory” International Conference on New Research Findings in Industrial Engineering and Mechanical Engineering, Tehran, Nikan Institute of Higher Education, 2015.
 Azimiaraghi, S., Najafizadeh, S.M.M. and Nezamabadi, A., “Vibration of two-dimensional functionally graded plate based on third-order shear deformation theory” International Conference on New Research Findings in Industrial Engineering and Mechanical Engineering, Tehran, Nikan Institute of Higher Education, 2015.
 Hosseini-Hashemi, S., Taher, H.R.,, Akhavan, H., and Omidi, M., “Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory,” Applied Mathematical Modelling, Vol. 34, No. 5, pp. 1276–1291, 2010.
 Zhao, X., Lee, Y.Y. and Liew K.M., “Free vibration analysis of functionally graded plates using the element-free kp-Ritz method,” Journal of sound and Vibration, Vol. 319, No. 3-5, pp. 918–939, 2009.
 Yang, J. and Shen, H.S., “Vibration characteristics and transient response of shear-deformable functionally graded plates in thermal environments,” Journal of Sound and Vibration, Vol. 255, No. 3, pp. 579–602, 2002.
 Gupta, A., Talha, M. and Singh, B.N., “Vibration characteristics of functionally graded material plate with various boundary constraints using higher order shear deformation theory,” Composites Part B: Engineering, Vol. 94, No. 1, pp. 64–74, 2016.
 Ghaheri, A. and Nosier, A., “Nonlinear forced vibrations of thin circular functionally graded plates,” In Persian, Journal of Science and Technology of Composite, Vol. 1, No. 2, pp. 1- 10, 2015.
 Khosravian, N., Tavakolpour, A., Roozegar, S. and Roozegar, J. “Dynamic simulation of nonlinear vibration of square plate with large displacement,” First National Conference on Mechanical and Mechatronics Engineering of Iran, Shahrekord, Islamic Azad University, Shahrekord Branch, 2016.
 Wang, Y.Q. and Zu, J.W., “Large-amplitude vibration of sigmoid functionally graded thin plates with porosities,” Thin-Walled Structures, Vol. 119, No. 1, pp. 911–924, 2017.
 Yazdi, A.A ., “Homotopy perturbation method for nonlinear vibration analysis of functionally graded plate,” Journal of Vibration and Acoustics, Vol. 135, No. 2, pp. 12–21, 2013.
 Lotfavar, A., Rafiei Pour, H., Hamze Shalamdari, S. and Mohammadi, T., “Nonlinear vibration analysis of laminated composite plates using approximate and analytical methods,”, In Persian, Iranian society of mechanical engineering, Vol. 1, No. 17, pp. 16- 39, 2015.
 Woo, J ., Meguid S.A . and Ong L.S., “Nonlinear free vibration behavior of functionally graded plates,” Journal of Sound and Vibration, Vol. 289, No. 3, pp. 595–611, 2006.
 Malekzadeh, P. and Monajjemzadeh S.M., “Nonlinear response of functionally graded plates under moving load,” Thin-Walled Structures, Vol. 96, No. 1, pp. 120–129, 2015.
 Duc, N.D. and Cong, P.H, “Nonlinear vibration of thick FGM plates on elastic foundation subjected to thermal and mechanical loads using the first-order shear deformation plate theory,” Cogent Engineering, Vol. 2, No. 1, pp. 1045222, 2015.
 Fung, C.P. and Chen, C.S., “Imperfection sensitivity in the nonlinear vibration of functionally graded plates,” European Journal of Mechanics-A/Solids, Vol. 25, No. 3, pp 425–461, 2006.
 Fakhari, V., Ohadi and A., Yousefian, P., “Nonlinear free and forced vibration behaviour of functionally graded plate with piezoelectric layers in thermal environment,” Composite Structures, 93 (2011) 2310–2321.
 Hao, Y.X., Zhang W., and Yang J., “Nonlinear oscillation of a cantilever FGM rectangular plate based on third-order plate theory and asymptotic perturbation method,” Composites Part B: Engineering, Vol. 42, No. 3, pp 402–413, 2011.
 Zhang, W., Hao, Y., Guo, X. and Chen, L., “Complicated nonlinear responses of a simply supported FGM rectangular plate under combined parametric and external excitations,” Meccanica, Vol. 47, No. 4, pp 985–1014, 2012.
 Dinh Duc, N., Tuan, N.D., Tran, P. and Quan, T.Q., “Nonlinear dynamic response and vibration of imperfect shear deformable functionally graded plates subjected to blast and thermal loads,” Mechanics of Advanced Materials and Structures, Vol. 24, No. 4, pp 318-329, 2017.
 Reddy JN, “Mechanics of laminated composite plates and shells: theory and analysis,” CRC press, 2004.
 Chia CY, “Nonlinear analysis of plates,” McGraw-Hill International, Book Company, 1980.
 Nayfeh, A.H. and Mook, D.T., “Nonlinear oscillation,” John Wiley & Sons, Inc, 1995.
 He, J.H., “Modified Lindstedt–Poincare methods for some strongly non-linear oscillations: Part I: expansion of a constant,” International Journal of Non-Linear Mechanics, Vol. 37, No. 2, pp 309-314, 2002.