NUMERICAL SIMULATION OF VIBRATION OF NON-HOMOGENEOUS PLATES OF VARIABLE THICKNESS

Year 2012, Volume: 4 Issue: 4, 26 - 40, 01.12.2012

U.S. Gupta Seema Sharma Prag Singhal

Abstract

Differential Quadrature Method (DQM) is used to analyse free transverse vibrations of non-homogeneous orthotropic
rectangular plates of variable thickness. A new model to represent the non-homogeneity of the plate material has been taken
which incorporates earlier models. Following Lévy approach i.e the two parallel edges are simply supported, the fourthorder
differential equation governing the motion of such plates of variable thickness has been solved for different
combinations of clamped, simply-supported and free-edge boundary conditions. Effect of non- homogeneity together with
other plate parameters such as orthotropy, aspect ratio and foundation modulus on the natural frequencies has been studied
for the first three modes of vibration. Numerical results are presented to illustrate the method and demonstrate its efficiency.
Normalized displacements are presented for specified plates for all the three boundary conditions.

Keywords

DQM, orthotropy, variable thickness, non-homogeneity, elastic foundation.

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