TRANSVERSE VIBRATION OF COMPLETELY-FREE ELLIPTIC AND CIRCULAR PLATES USING ORTHOGONAL POLYNOMIALS IN THE RAYLEIGH-RITZ METHOD

被引：54

作者：

SINGH, B ^{[1
]}

CHAKRAVERTY, S ^{[1
]}

机构：

[1] CENT BLDG RES INST,CTR COMP,ROORKEE 247667,UTTAR PRADESH,INDIA

来源：

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES | 1991年 / 33卷 / 09期

关键词：

D O I：

10.1016/0020-7403(91)90069-F

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The Rayleigh-Ritz method using characteristic orthogonal polynomials has been applied to study the problem of transverse vibration of completely-free elliptic and circular plates of uniform thickness. A sequence of successive approximations has been generated to work out the frequencies and mode shapes. The process is continued until at least the first four frequencies converge to five significant digits. It has been found that the results agree completely with the known results for a circular plate. A comparison has also been made with some known experimental and theoretical results for an elliptic plate.

引用

页码：741 / 751

页数：11

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