VIBRATION OF PLATES USING PLATE CHARACTERISTIC FUNCTIONS OBTAINED BY REDUCTION OF PARTIAL-DIFFERENTIAL EQUATION

被引：14

作者：

BHAT, RB

MUNDKUR, G

机构：

[1] Concordia Univ, Montreal, Canada

来源：

JOURNAL OF SOUND AND VIBRATION | 1993年 / 161卷 / 01期

关键词：

D O I：

10.1016/0022-460X(93)90393-P

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Vibration of rectangular plates is studied using a set of plate characteristic functions generated by reduction of the plate partial differential equation, and exactly solving the resulting ordinary differential equation. The plate characteristic functions are used as deflection shape functions in the Rayleigh-Ritz method to obtain the natural frequencies. Because the solution is exact in one direction, the results fall in between the exact values and those obtained with the straight forward Rayleigh-Ritz method, where the complete deflection shape is assumed initially. Results are provided for rectangular plates with combinations of clamped, simply supported and free edge conditions.

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页码：157 / 171

页数：15

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