Free Vibration Analysis of Multi-Directional Functionally Graded Annular Plates Using the Weak Form Quadrature Element Method

摘要

Free vibration analysis of multi-directional functionally graded annular plates is achieved in this paper. Uni-directional and bi-directional exponentially varying material properties through the thickness and along the radial direction of the plate are assumed. A four variable refined plate theory and the weak form quadrature element method are employed to establish the formulation. Numerical examples are given and results are compared with other available solutions. Good agreement is achieved, demonstrating the accuracy and high convergence rate of the present method in free vibration analysis of multi-directional functionally graded annular plates.