BUCKLING ANALYSIS OF THICK ISOTROPIC RECTANGULAR SSSS PLATES USING RITZ ENERGY METHOD IN POLYNOMIAL DISPLACEMENT FUNCTIONS

Dinwoke P. Onodagu, Akaolisa C. Ezeagu, Godwin Gah

Abstract


This research study focuses on the buckling analysis of elastic thick isotropic rectangular plates with simply-supported (SSSS) edges. The Ritz energy method was employed using polynomial displacement functions to determine the critical buckling load parameters of the plate under uniaxial in-plane compressive load. The direct governing equation for the plate was derived using orthogonal polynomial displacement functions and a polynomial shear deformation function. The equation was further analyzed to obtain three simultaneous governing equations for the determination of displacement coefficients (j1, j2, j3). The results of the study showed that the polynomial displacement function for SSSS rectangular thick plates provides a simple and efficient solution for determining stiffness coefficient values based on SSSS plate boundary conditions. The method was found to be very close compared with other researchers' works, and the results had very simple mathematical applications. This study contributes to the understanding of buckling behaviour in thick isotropic rectangular plates and provides a valuable tool for future research in this area.

KEYWORDS:  Thick plates, displacement functions, in-plane-displacements, out-of-plane displacement, shear                         rotation, buckling and rectangular, Ritz energy method


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