A Comprehensive Study of the Free Vibration of Rectangular Plates Resting on Symmetrically-Distributed Uniform Elastic Edge Supports

被引：32

作者：

Gorman, D. J. ^{[1
]}

机构：

[1] Univ Ottawa, Dept Mech Engn, Ottawa, ON K1N 6N5, Canada

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1989年 / 56卷 / 04期

关键词：

D O I：

10.1115/1.3176188

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

An analytical-type solution is developed for the free vibration analysis of rectangular plates with uniform elastic edge support symmetrically distributed about the plate central axes. Both linear elastic rotational and translational support are considered to act simultaneously. Rapid convergence is encountered. Because of the symmetry of the problem, the free vibration modes fall into three distinct families. Eigenvalues are tabulated for the first four modes of vibration of a square plate with identical stiffnesses on each edge and with various ratios of translational to rotational stiffnesses. This represents, to the author's knowledge, the first comprehensive treatment of this problem.

引用

页码：893 / 899

页数：7