References

Akhavan, H., S.H. Hashemi, H.R.D. Taher, A. Alibeigloo and S. Vahabi, 2009. Exact solutions for rectangular Mindlin plates under in-plane loads resting on Pasternak elastic foundation. Part II: Frequency analysis. Comput. Mater. Sci., 44: 951-961.
CrossRef  |  Direct Link  |  

Bahmyari, E. and M.R. Khedmati, 2017. Stochastic analysis of thin plates on elastic foundation by combining the generalized polynomial chaos and element free Galerkin method. J. Mech. Sci. Technol., 31: 1813-1824.
CrossRef  |  Direct Link  |  

Bahmyari, E., M.M. Banatehrani, M. Ahmadi and M. Bahmyari, 2013. Vibration analysis of thin plates resting on Pasternak foundations by element free Galerkin method. Shock Vibr., 20: 309-326.
CrossRef  |  Direct Link  |  

Chakraverty, S. and K.K. Pradhan, 2014. Free vibration of functionally graded thin rectangular plates resting on Winkler elastic foundation with general boundary conditions using rayleigh-ritz method. Int. J. Applied Mech., Vol. 6, No. 4. 10.1142/S1758825114500434

Civalek, O. and B. Oeztuerk, 2008. Discrete singular convolution method for free vibration analysis of tapered rectangular plates. Adv. Vibration Eng., 7: 261-274.

Civalek, O. and M. Gurses, 2009. Discrete singular convolution for free vibration analysis annular membranes. Math. Comput. Applic., 14: 131-138.
Direct Link  |  

Civalek, O. and O. Kiracioglu, 2007. Discrete singular convolution for free vibration analysis of anisotropic rectangular plates. Math. Comput. Applic., 12: 151-160.
CrossRef  |  Direct Link  |  

Dehghan, M. and G.H. Baradaran, 2011. Buckling and free vibration analysis of thick rectangular plates resting on elastic foundation using mixed finite element and differential quadrature method. Applied Math. Comput., 218: 2772-2784.
CrossRef  |  Direct Link  |  

Ferreira, A.J.M., C.M.C. Roque, A.M.A. Neves, R.M.N. Jorge and C.M.M. Soares, 2010. Analysis of plates on Pasternak foundations by radial basis functions. Computat. Mech., 46: 791-803.
CrossRef  |  Direct Link  |  

Gupta, A., M. Talha and V.K. Chaudhari, 2016. Natural frequency of functionally graded plates resting on elastic foundation using finite element method. Procedia Technol., 23: 163-170.
CrossRef  |  Direct Link  |  

Hsu, M.H., 2006. Vibration characteristics of rectangular plates resting on elastic foundations and carrying any number of sprung masses. Int. J. Applied Sci. Eng., 4: 83-89.
Direct Link  |  

Kai, X., W. Jiufa, L. Qiuhong, W. Weiyuan and W. Ping, 2014. An exact series solution for the vibration of Mindlin rectangular plates with elastically restrained edges. Shock Vibr., Vol. 2014, 10.1155/2014/286710

Karasin, A., 2016. Vibration of rectangular plates on elastic foundations by finite grid solution. Int. J. Math. Comput. Methods, 1: 140-145.
Direct Link  |  

Karasin, A., R. Akdogan, P. Gulkan and M.A. Ugurlu, 2016. Usage of finite grid solution for vibration of rectangular plates on elastic foundations. Wseas Trans. Applied Theor. Mech., 11: 60-66.
Direct Link  |  

Korkmaz, A. and I. Dag, 2011. Shock wave simulations using sinc differential quadrature method. Eng. Computations, 28: 654-674.
CrossRef  |  Direct Link  |  

Lam, K.Y., C.M. Wang and X.Q. He, 2000. Canonical exact solutions for Levy-plates on two-parameter foundation using Green’s functions. Eng. Struct., 22: 364-378.
CrossRef  |  Direct Link  |  

Li, Q.L., W.D. Luan and Z.Q. Zhu, 2017. Shooting method for free vibration of FGM reissner-mindlin circular plates resting on elastic foundation in thermal environments. J. Vibroengineering, 19: 4423-4439.
CrossRef  |  Direct Link  |  

Li, W.L., X. Zhang, J. Du and Z. Liu, 2009. An exact series solution for the transverse vibration of rectangular plates with general elastic boundary supports. J. Sound Vibr., 321: 254-269.
CrossRef  |  

Liew, K.M., Y.Q. Huang and J.N. Reddy, 2002. A hybrid moving least squares and differential quadrature (MLSDQ) meshfree method. Int. J. Comput. Eng. Sci., 3: 1-12.
CrossRef  |  Direct Link  |  

Liew, K.M., Y.Q. Huang and J.N. Reddy, 2003. Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method. Comput. Methods Applied Mech. Eng., 192: 2203-2222.
CrossRef  |  Direct Link  |  

Moradi-dastjerdi, R., H. Momeni-Khabisi and R. Baghbani, 2017. Mesh-free dynamic analyses of FGM sandwich plates resting on a pasternak elastic foundation. Mech. Adv. Compos. Struct.‎, 4: 153-168.
CrossRef  |  Direct Link  |  

Ng, C.H.W., Y.B. Zhao and G.W. Wei, 2004. Comparison of discrete singular convolution and generalized differential quadrature for the vibration analysis of rectangular plates. Comput. Methods Applied Mech. Eng., 193: 2483-2506.
CrossRef  |  

Omurtag, M.H., A. Ozutok, A.Y. Akoz and Y. Oezcelikoers, 1997. Free vibration analysis of Kirchhoff plates resting on elastic foundation by mixed finite element formulation based on gateaux differential. Int. J. Numer. Methods Eng., 40: 295-317.
Direct Link  |  

Panc, V., 1975. Theories of Elastic Plates. Springer Science and Business Media, New York, USA., ISBN-13: 9789028601048, pp: 13-41.

Reddy, J.N., 1997. Mechanics of Laminated Composite Plates Theory and Analysis. CRC Press, Boca Raton.

Reddy, J.N., 1999. Theory and Analysis of Elastic Plates. Taylor and Francis, Philadelphia.

Secer, A., 2013. Numerical solution and simulation of second-order parabolic PDEs with Sinc-Galerkin method using maple. Abstr. Applied Anal., Vol. 2013, 10.1155/2013/686483

Tan, F. and Y.L. Zhang, 2013. A hybrid boundary node method for the bending of plates on elastic foundation. Eng. Mech., 30: 35-41.
Direct Link  |  

Trif, D., 2002. On sinc methods for partial differential equation. Semin. Fixed Point Theor. Cluj-Napoca, 3: 173-182.
Direct Link  |  

Wang, X.W. and Z. Wu, 2013. Differential quadrature analysis of free vibration of rhombic plates with free edges. Applied Math. Comput., 225: 171-183.
CrossRef  |  Direct Link  |  

Wen, P.H., 2008. The fundamental solution of Mindlin plates resting on an elastic foundation in the laplace domain and its applications. Int. J. Solids Struct., 45: 1032-1050.
CrossRef  |  Direct Link  |  

Yang, J. and H.S. Shen, 2001. Dynamic response of initially stressed functionally graded rectangular thin plates. Compos. Struct., 54: 497-508.
CrossRef  |  Direct Link  |  

Zhou, D., Y.K. Cheung, S.H. Lo and F.T.K. Au, 2004. Three‐dimensional vibration analysis of rectangular thick plates on Pasternak foundation. Int. J. Numer. Methods Eng., 59: 1313-1334.
CrossRef  |  Direct Link  |