[1] Hui D. and Leissa A. W., Effects of geometric imperfections on vibrations of biaxially compressed rectangular flat plates, Transactions of the ASME, Vol. 50, pp. 750-756, 1983.
[2] Pasic H. and Herrmann G., Non-linear free vibration of buckled plates with deformable loaded edges, Journal of sound and vibration, pp. 105-114, 1983.
[3] Ilanko S. and Dickinson S.M., The vibration and post-buckling of geometrically imperfect, simply supported, rectangular plates under uni-axial loading, part I: theoretical approach, Journal of Sound and Vibration, Vol. 118(2), pp. 313-336, 1987.
[4] Ilanko S., Vibration and post-buckling of in-plane loaded rectangular plates using a multiterm galerkin’s method, Journal of Applied Mechanics, Vol. 69, pp. 589-592, 2002.
[5] NG C.F. and White R.G., Dynamic behavior of postbuckled isotropic plates under in-plane compression, Journal of sound and vibration, pp. 1-18, 1988.
[6]Grayt C.C., Vibrations of rectangular plates with moderately large initial deflections at elevated temperatures using finite element method, 31st Structures, Structural Dynamics and Materials Conference, Structures, Structural Dynamics, and Materials and Co-located Conferences, 1990.
[7] Sassi S. and Ostigu G.L., Analysis of the variation of frequencies for imperfect rectangular plates, Journal of sound and vibration, Vol. 177(5), pp. 675-687, 1994.
[8] Murphy K.D., Virgin L.N. and Rizzi S.A., Free Vibration of Thermally Loaded Panels Including Initial Imperfections and Post-Buckling Effects, Fifth International Conference on Recent Advances in Structural Dynamics, Southampton, 1994.
[9] Librescu L., Lin W., Nemeth M.P. and Starnes JR, J.H., Vibration of geometrically imperfect panels subjected to thermal and mechanical loads, Journal of Spacecraft and rockets 33, pp. 285-291, 1996.
[10] Oh I.K., Han J.H. and Lee I., Postbuckling and vibration characteristic of piezolaminated composite plate subject to thermopiezoelectric loads, Journal of sound and vibration 233, pp. 19-40, 2000.
[11] Girish J. and Ramchandra L.S., Thermal postbuckled vibrations of symmetrically laminated composite plates with initial geometric imperfections, Journal of Sound and Vibration, Vol. 282, pp. 1137-1153, 2005.
[12] Williams M., Griffin B., Homeijer B., Sankar B. and Sheplak M., Vibration of post-buckled homogeneous circular plates, IEEE Ultrasonics Symposium, 2007.
[13] Li S.R., Barta R.C. and Ma L.S., Vibration of Thermally Post-Buckled Orthotropic Circular Plates, Journal of Thermal Stresses, Vol. 30, pp. 43–57, 2007.
[14] Taczala M., Buczkowski R. and Kleiber M., Nonlinear free vibration of pre- and post-buckled FGM plates on two-parameter foundation in the thermal environment, Composite structures, Vol. 137, pp. 85-92, 2016.
[15] Dey T., Kumar R. and Panda S.K., Postbuckling and postbuckled vibration analysis of sandwich plates under non-uniform mechanical edge loadings, International Journal of Mechanical Sciences, Vol. 115-116, pp. 226–237, 2016.
[16] Benchouaf L. and Boutyour E., Nonlinear vibrations of buckled plates by an asymptotic numerical method, C. R. Mecanique Vol. 344 pp. 151–166, 2016.
[17] Bellman R.E., Kashef B. and Casti J., Differential Quadrature: a Technique for the Rapid Solution of Nonlinear partial Differential equation, Journal of Compute Phys, Vol. 1 pp. 133-143, 1997.
[18] Quan J.R. and Chang C.T., New Insights in Solving Distributed System of Equations by Quadrature-Method, Journal of Compute Chem Eng, Vol. 13, pp. 1017-1024, 1989.
[19] Wempner G.A., Discrete approximation related to nonlinear theories of solids, International Journal of Solids and Structures, Vol. 7, pp. 1581-1599, 1971.
[20] Riks E., The application of Newton’s method to the problem of elastic stability, Journal of Applied Mechanics, Vol. 39, pp. 1060-1065, 1979.
[21] Forde B.D.R. and Stiemer S.F., Improved arc length orthogonality methods for nonlinear finite element analysis, Computers & Structures, Vol. 27, pp. 625-630, 1987.
[22] Chia C.Y., Nonlinear analysis of plates, McGraw-Hill, New York, 1980.
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