VIBRATIONS OF MODERATELY ELLIPTIC CLAMPED PLATES - A PERTURBATION SCHEME FOR EIGENVALUES

被引：2
|
作者：
PARNES, R
机构：
[1] TEL AVIV UNIV,FAC ENGN,DEPT SOLID MECH MAT & STRUCT,IL-69978 TEL AVIV,ISRAEL
[2] UNIV PARIS 06,MECAN THEOR LAB,F-75230 PARIS 05,FRANCE
[3] ECOLE POLYTECH,MECAN SOLIDES LAB,F-91128 PALAISEAU,FRANCE
来源：
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1991年 / 58卷 / 03期
关键词：
D O I：
10.1115/1.2897254
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Frequencies of vibration of an elliptic plate, clamped along the edge, are determined by means of a perturbation scheme based on a boundary perturbation method (B.P.M.). Eigenvalues are obtained corresponding to higher modes of vibration containing elliptic nodes, in addition to the fundamental mode. Comparison with previously derived values in the fundamental mode reveals that the present scheme leads to accurate results for moderately elliptic plates.
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页码：724 / 728
页数：5
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