Exact solution for free vibration analysis of an eccentric elliptical plate

被引：0
|
作者：
Seyyed M. Hasheminejad
Ali Ghaheri
机构：
[1] Iran University of Science and Technology,Acoustics Research Laboratory, Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering
来源：
Archive of Applied Mechanics | 2014年 / 84卷
关键词：
Elliptic panel; Internal perforation; Resonance oscillations; Doubly connected domain; Benchmark solution;
D O I：
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中图分类号：
学科分类号：
摘要：
The method of separation of variables in elliptical coordinates in conjunction with the translational addition theorems for Mathieu functions is used to investigate the free flexural vibrations of a fully clamped thin elastic panel of elliptical planform containing an elliptical cutout of arbitrary size, location, and orientation. The first five natural frequencies are calculated for various plate/cutout aspect ratios and selected cutout location/orientation parameters. Also, a number of representative vibration mode shapes are depicted in graphical form. The accuracy of solutions is demonstrated through proper convergence studies, and the validity of results is established with the aid of a commercial finite element package as well as by comparison with those in the existing literature.
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页码：543 / 552
页数：9
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