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
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
收藏
页码:109 / 118
页数:10
相关论文
共 12 条
[1]   ANALYTICAL AND EXPERIMENTAL INVESTIGATION ON VIBRATING CIRCULAR PLATES WITH STEPPED THICKNESS OVER A CONCENTRIC CIRCULAR REGION [J].
AVALOS, D ;
LAURA, PAA ;
BIANCHI, AM .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1987, 82 (01) :13-16
[2]   FLEXURAL VIBRATING FREE-EDGE PLATES WITH STEPPED THICKNESSES FOR GENERATING HIGH DIRECTIONAL ULTRASONIC RADIATION [J].
BARONE, A ;
GALLEGOJ.JA .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1972, 51 (03) :953-&
[3]   NATURAL FREQUENCIES OF RECTANGULAR-PLATES USING CHARACTERISTIC ORTHOGONAL POLYNOMIALS IN RAYLEIGH-RITZ METHOD [J].
BHAT, RB .
JOURNAL OF SOUND AND VIBRATION, 1985, 102 (04) :493-499
[4]   TRANSVERSE VIBRATIONS OF A ROTATING UNIFORM CANTILEVER BEAM WITH TIP MASS AS PREDICTED BY USING BEAM CHARACTERISTIC ORTHOGONAL POLYNOMIALS IN THE RAYLEIGH-RITZ METHOD [J].
BHAT, RB .
JOURNAL OF SOUND AND VIBRATION, 1986, 105 (02) :199-210
[6]  
JUAREZ JAG, 1973, J SOUND VIBRATION, V26, P411
[7]   OPTIMIZATION OF EIGENVALUES WHEN USING THE GALERKIN METHOD [J].
LAURA, PAA ;
CORTINEZ, VH .
AICHE JOURNAL, 1986, 32 (06) :1025-1026
[8]  
Leissa A, 1969, VIBRATION PLATES
[9]  
MCLACHLAN NW, 1964, THEORY APPLICATION M
[10]   FREE FLEXURAL VIBRATIONS OF AN ELLIPTICAL PLATE WITH EDGE RESTRAINED ELASTICALLY [J].
SATO, K .
BULLETIN OF THE JSME-JAPAN SOCIETY OF MECHANICAL ENGINEERS, 1976, 19 (129) :260-264