Free vibration analysis of membranes using wave-type base functions

被引：12

作者：

Kim, YY

Kang, JH

机构：

[1] Dept. of Mech. Des. and Prod. Eng., Seoul National University, Kwanak-Gu, Seoul 151-742, Shinlim-Dong

来源：

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA | 1996年 / 99卷 / 05期

关键词：

D O I：

10.1121/1.414822

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The free vibration analysis of general convex polygonal membranes is carried out. The selected based functions for the analysis are wave-type functions which propagate in one direction and vary sinusoidally in the other direction. The key feature of the present technique is to use the base functions that satisfy the governing differential equation exactly, so that only the boundary conditions need to be satisfied. If base functions are not chosen carefully, the dependence problem of the base functions may occur and a technique to select independent base functions is suggested. (C) 1995 Acoustical Society of America.

引用

页码：2938 / 2946

页数：9

共 29 条

[1]

[Anonymous], THESIS IMPERIAL COLL

[2] APPLICATION OF FINITE ELEMENTS TO SOLUTION OF HELMHOLTZS EQUATION [J].

ARLETT, PL ;

BAHRANI, AK ;

ZIENKIEWICZ, OC .

PROCEEDINGS OF THE INSTITUTION OF ELECTRICAL ENGINEERS-LONDON, 1968, 115 (12) :1762-+

[3] THEORY OF POINT-MATCHING METHOD FOR PERFECTLY CONDUCTING WAVEGUIDES AND TRANSMISSION LINES [J].

BATES, RHT .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1969, MT17 (06) :294-&

[4]

Blevins R.D., 1979, Formulas for natural frequency and mode shape

[5] COMPUTATION OF APPROXIMATE POLYNOMIAL SOLUTIONS TO TE MODES IN AN ARBITRARILY SHAPED WAVEGUIDE [J].

BULLEY, RM ;

DAVIES, JB .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1969, MT17 (08) :440-&

[6]

CHIM M, 1964, IEEE T MICROWAVE THE, V12, P248

[7] NUMERICAL SOLUTION OF UNIFORM HOLLOW WAVEGUIDES WITH BOUNDARIES OF ARBITRARY SHAPE [J].

DAVIES, JB ;

MUILWYK, CA .

PROCEEDINGS OF THE INSTITUTION OF ELECTRICAL ENGINEERS-LONDON, 1966, 113 (02) :277-&

[8]

DING Z, 1992, COMPUT STRUCT, V42, P389

[9] NATURAL FREQUENCIES AND MODES OF SKEW MEMBRANES [J].

DURVASULA, S .

JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1968, 44 (06) :1636-+

[10] SINGULAR VALUE DECOMPOSITION AND LEAST SQUARES SOLUTIONS [J].

GOLUB, GH ;

REINSCH, C .

NUMERISCHE MATHEMATIK, 1970, 14 (05) :403-&

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