Semianalytical Differential Quadrature Solution for Free Vibration Analysis of Rectangular Plates

摘要

In this paper, the analysis of the titled problem is based on classical thin plate theory, and its numerical solution is carried out by a semianalytical differential quadrature method. The thin rectangular plates considered herein are simply supported on two opposite edges. The boundary conditions at the other two edges may be quite general, and between these two edges the plates may have varying thickness. However, the results contained in this paper are for plates that are elastically restrained against rotation at these edges and have linearly tapered thickness. On the basis of comparison with the available results in the published literature, it is believed that this solution method guarantees high numerical accuracy for the problem.