AXISYMMETRICAL VIBRATION OF CIRCULAR PLATES AND ITS ANALOG IN ELLIPTIC PLATES USING CHARACTERISTIC ORTHOGONAL POLYNOMIALS

被引：23

作者：

RAJALINGHAM, C

BHAT, RB

机构：

[1] Department of Mechanical Engineering, Concordia University, Montreal

来源：

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

关键词：

D O I：

10.1016/0022-460X(93)90342-9

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The axisymmetric vibration of circular plates and its analog in elliptic plates with clamped, simply supported and free boundary conditions are investigated using boundary characteristic orthogonal polynomials in the Rayleigh-Ritz method. Modified polar coordinates are employed to analyze the vibration of elliptical plates, with circular plates as a special case. Axisymmetric vibration of circular plates and its analog in elliptical plates with concentric nodal elipses require only one-dimensional shape functions in the Rayleigh-Ritz method. The first six natural frequencies and the parameters associated with nodal ellipses are tabulated. © 1993 Journal of Sound and Vibration.

引用

页码：109 / 118

页数：10

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