Free Vibration Analysis Of The Moderately Thick Laminated Composite Rectangular Plate On Two-Parameter Elastic Foundation With Elastic Boundary Conditions


An improved Fourier series method is presented for the free vibration analysis of the moderately thick laminated composite rectangular plate with general elastic supports and point supports resting on an elastic foundation. The approach is based on the first order shear deformation theory and foundation effect using two-parameter Pasternak foundation model. The displacement and rotation functions are generally sought, regardless of boundary conditions, as Fourier series and supplementary functions. All the series expansion coefficients are determined using the Rayleigh-Ritz technique. The excellent accuracy of the current results is validated by comparing them with existing results.

[1] H.-S. Shen, Postbuckling analysis of composite laminated plates on two-parameter elastic foundations, International Journal of Mechanical Sciences, 37, no. 12, 1307–1316, (1995).

[2] Y. Xiang, S. Kitipornchai, and K. M. Liew, Buckling and vibration of thick laminates on pasternak foundations, Journal of Engineering Mechanics, 122, no. 1, 54–63, (1996).

[3] M.-H. Huang and D. P. Thambiratnam, Analysis of plate resting on elastic supports and elastic foundation by finite strip method, Computers and Structures, 79, no. 29-30, 2547–2557, (2001).

[4] JN. Reddy, Mechanics of laminated composite plates and shells: theory and analysis, CRC press, Florida, 2004.

[5] T. Ye, G. Jin, Z. Su, and Y. Chen, A modified Fourier solution for vibration analysis of moderately thick laminated plates with general boundary restraints and internal line supports, International Journal of Mechanical Sciences, 80, 29–46, (2014).

[6] X. Shi, D. Shi, W. L. Li, and Q. Wang, Free transverse vibrations of orthotropic thin rectangular plates with arbitrary elastic edge supports, Journal of Vibroengineering, 16, no. 1, 389–398, (2014)