FREE-VIBRATION ANALYSIS OF MINDLIN PLATES WITH LINEARLY VARYING THICKNESS

被引：37

作者：

AKSU, G

ALKAABI, SA

机构：

[1] Univ of Petroleum & Minerals, Dhahran, Saudi Arabia, Univ of Petroleum & Minerals, Dhahran, Saudi Arabia

来源：

JOURNAL OF SOUND AND VIBRATION | 1987年 / 119卷 / 02期

关键词：

MATHEMATICAL TECHNIQUES - Variational Techniques - VIBRATIONS - Mathematical Models;

D O I：

10.1016/0022-460X(87)90448-2

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A method based on the variational principles in conjunction with the finite difference technique is applied to examine the free vibration characteristics of isotropic rectangular plates of linearly varying thickness by including the effects of transverse shear deformation and rotary inertia. The validity of the present approach is demonstrated by comparing the results with other solutions proposed for plates with uniform and linearly varying thickness. Natural frequencies and mode shapes of Mindlin plates with simply supported and clamped edges are determined for various values of relative thickness ratio and the taper thickness constant.

引用

页码：189 / 205

页数：17

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