Axisymmetric vibrations of layered annular plates with linear variation in thickness

Abstract

Free vibrations of laminated annular plates with a linear variation in thickness in the radial direction are analyzed. An energy method based on the Rayleigh-Ritz technique is used for the analysis. Displacement functions which are polynomials in the radial co-ordinate are assumed. The resulting generalized eigenvalue problem is solved by a simultaneous iteration technique. Comparison of the results are made with available results in the literature. Extensive parametric studies are undertaken to provide an insight into the interaction and influence of the various geometric and material parameters on the frequencies and mode shapes.