Vibrations of circular plates with variable profile

Abstract

Galerkin’s variational approach is invoked in analyzing transverse vibrations of circular plates where the thickness varies according to the functional relation h(r) = h0[1+γ(r/a)n] where n is an integer. The displacement function is approximated in terms of simple polynomials which identically satisfy the boundary conditions. The two lowest frequency coefficients of axisymmetric modes are determined in the present paper for several combinations of the governing mechanical parameters.