Structural Engineering and Mechanics

Volume 29, Number 4, 2008, pages 411-422

DOI: 10.12989/sem.2008.29.4.411

Frequency analysis of moderately thick uniform isotropic annular plates by discrete singular convolution method

Omer Civalek and Hakan Ersoy

Abstract

In the present study, free vibration analysis of thick annular plates is analyzed by discrete singular convolution method. The Mindlin plate theory is employed. The material is isotropic, homogeneous and obeys Hook?s law. In this paper, discrete singular convolution method is used for discretization of equations of motion. Axisymmetric frequency values are presented illustrating the effect of radius ratio and thickness to radius ratio of the annular plate. The influence of boundary conditions on the frequency characteristics is also discussed. Comparing results with those in the literature validates the present analysis. It is shown that the obtained results are very accurate by this approach.

Key Words

free vibration; discrete singular convolution; frequency; annular plate; thick plate.

Address

Omer Civalek: Akdeniz University, Faculty of Engineering, Civil Engineering Department, Division of Mechanics, Antalya, Turkiye<br />Hakan Ersoy: Akdeniz University, Faculty of Engineering, Mechanical Engineering Department, Division of Mechanics, Antalya, Turkiye