THREE-DIMENSIONAL VIBRATION ANALYSIS OF THIN SKEWED PLATES HAVING SIMPLE SUPPORT IN PARALLEL WITH SKEW COORDINATE SYSTEM : Influence for natural frequency by binding area of in-plane displacement with baundary face

Abstract

This paper presents numerical results of the free vibration analysis for thin skewed simple supported plates by using the 3-D Rayleigh-Ritz method. The strain-displacement relations of the skewed plate are based on the 3-D elasticity theory with skew coordinates and skew displacements. The simple support condition is assumed partial simple support in the direction of the thickness at the edges. As a result, the normal and shear stresses occurs at the boundaries, and the natural frequences changes. The comparison shows the method presented in this paper to be useful for analyzing the free vibration of thin skewed plates having partial simple support in the direction of the thickness at the edges. The effects of skew angles and partial simple support of plates on the free vibratory characteristics of the thin skewed plates are also investigated.