A SET OF ORTHOGONAL PLATE FUNCTIONS FOR FLEXURAL VIBRATION OF REGULAR POLYGONAL PLATES

被引：31

作者：

LIEW, KM

LAM, KY

机构：

[1] Department of Mechanical & Production Engineering, National University of Singapore, 0511

来源：

JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME | 1991年 / 113卷 / 02期

关键词：

D O I：

10.1115/1.2930167

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A computationally efficient and very accurate numerical method is proposed for vibration analysis of regular polygonal plates with any combinations of clamped, simply-supported and free boundary conditions. The method involves the use of two-dimensional orthogonal polynomials generated by the Gram-Schmidt recurrence procedure. For the cases of simply supported and fully clamped hexagonal and octagonal plates, the results obtained agreed very well with those existing in the literature. The frequencies and mode shapes for several hexagonal and octagonal plates subjected to mixed boundary conditions are also presented.

引用

页码：182 / 186

页数：5

共 14 条

[1]

Bhat R.B., Flexural Vibration of Polygonal Plates Using Characteristic Orthogonal Polynomials in Two Variables, Journal of Sound and Vibration, 114, pp. 65-71, (1987)

[2]

Bucco D., Mazumdar J., Sved G., Vibration Analysis of Plates of Arbitrary Shape—A New Approach, Journal of Sound and Vibration, 67, pp. 253-262, (1979)

[3]

Conway H.D., The Bending, Buckling and Flexural Vibration of Simply Support Polygonal Plates by Point-Matching, ASME Journal of Applied Mechanics, 28, pp. 288-291, (1961)

[4]

Gutierrez R.H., Laura P.A.A., Steinberg D.S., Determination of the Second Natural Frequency of Simply-Supported Regular Polygonal Plates, Journal of Sound and Vibration, 55, pp. 146-149, (1977)

[5]

Irie T., Yamada G., Narita Y., Free Vibration of Clamped Polygonal Plates, Bulletin of the JSME, 21, pp. 1696-1702, (1978)

[6]

Irie T., Yamada G., Umesato K., Free Vibration of Regular Polygonal Plates with Simply Supported Edges, Journal of the Acoustical Society of America, 69, pp. 1330-1336, (1981)

[7]

Lam K.Y., Liew K.M., Nd Chow S.T., Free Vibration Analysis of Isotropic and Orthotropic Triangular Plates, International Journal of Mechanical Sciences, in Press., (1990)

[8]

Laura P.A.A., Luisoni L.E., Approximate Solution of the Two-Dimensional Helmholtz Equation in the Case of Convex Polygonal Domains, Journal of Sound and Vibration, 64, pp. 451-454, (1979)

[9]

Laura P.A.A., Gutierrez R.H., Bhat R.B., Transverse Vibrations of a Trapezoidal Cantilever Plate of Variable Thickness, AIAA Journal, 27, pp. 921-922, (1989)

[10]

Liew K.M., Lam K.Y., Chow S.T., Free Vibration Analysis of Rectangular Plates Using Orthogonal Plate Functions, Journal of Computers and Structures, 34, pp. 79-85, (1990)

← 1 2 →