Free vibration analysis of an orthotropic plate by dynamic stiffness method and Wittrick-Williams algorithm

Abstract

The Wittrick–Williams algorithm is used as the solution technique in the dynamic stiffness matrix to compute the natural frequencies of the orthotropic plate for different boundary conditions, aspect ratios, thickness ratios and modulus ratios. The corresponding dynamic stiffness matrix of the orthotropic plate is developed by classical plate theory and Hamilton’s principle. Levy type boundary conditions are considered in this paper. Results obtained are compared with published results and that obtained by finite element method using commercial software Ansys.