Analytical solution for vibration of an incompressible isotropic linear elastic rectangular plate, and frequencies missed in previous solutions

被引：20

作者：

Aimmanee, S.

Batra, R. C. ^{[1
]}

机构：

[1] Virginia Polytech Inst & State Univ, Engn Sci & Mech Dept, MC 0219, Blacksburg, VA 24061 USA

[2] King Mongkuts Univ Technol, Ctr Operat Comp Aided Res Engn, Dept Mech Engn, Bangkok 10140, Thailand

来源：

JOURNAL OF SOUND AND VIBRATION | 2007年 / 302卷 / 03期

关键词：

D O I：

10.1016/j.jsv.2006.11.029

中图分类号：

O42 [声学];

学科分类号：

070206 [声学]; 082403 [水声工程];

摘要：

An analytical solution is given for free vibration of a simply supported rectangular plate made of an incompressible linear elastic isotropic material. Through-the-thickness modes of vibration valid for compressible and incompressible materials and missed by previous investigators are also identified. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：613 / 620

页数：8

共 12 条

[1]

[Anonymous], 2006, ELEMENTS CONTINUUM M, DOI DOI 10.2514/4.861765

[2]

Missing frequencies in previous exact solutions of free vibrations of simply supported rectangular plates [J].