Nonlinear Vibration Characteristics of Point Supported Isotropic and Symmetrically Laminated Plates

Author:

Daripa Rupesh,Singha M. K.

Abstract

Nonlinear free and forced vibration characteristics of composite square plates either supported at four corner points or point supported at the middle of its edges as well as corners are investigated here using different high precision plate bending finite elements. It is observed that, higher order interpolation polynomial for the transverse displacement helps the plate bending finite elements to converge for the linear vibration frequencies. However, convergence for large amplitude vibration problems depends on the interpolation polynomials for in-plane displacements as well as transverse displacement. In general, the hardening nonlinearity (i.e., the increase of nonlinear frequency with vibration amplitude) of point supported plates is less than those of immovable simply supported plates.
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