VIBRATION OF AN ARBITRARILY SHAPED MEMBRANE WITH POINT SUPPORTS

被引：14

作者：

NAGAYA, K

机构：

[1] Department of Mechanical Engineering, Yamagata University, Yonezawa

来源：

JOURNAL OF SOUND AND VIBRATION | 1979年 / 65卷 / 01期

关键词：

D O I：

10.1016/0022-460X(79)90523-6

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A method for solving vibration problems of an arbitrarily shaped membrane on point supports is presented. The frequency equation is derived by the use of the exact solution of the equation of motion which includes terms representing the reaction forces of the point supports. Numerical calculations are carried out for an elliptical membrane with two point supports, and the non-dimensional natural frequencies are shown for various aspect ratios. © 1979.

引用

页码：1 / 9

页数：9

共 15 条

[1] 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-+

[2] 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-&

[3] 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-&

[4] APPROXIMATE METHOD OF DETERMINING CUTOFF FREQUENCIES OF WAVEGUIDES OF ARBITRARY CROSS SECTION [J].

CHI, M ;

LAURA, PA .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1964, MT12 (02) :248-&

[5] 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-&

[6] A SIMPLE METHOD FOR DETERMINATION OF CUTOFF FREQUENCIES OF WAVEGUIDES WITH ARBITRARY CROSS SECTIONS [J].

LAURA, PA .

PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1966, 54 (10) :1495-&

[7] SOLUTION OF HELMHOLTZ EQUATION IN ELLIPTICAL DOMAINS [J].

LAURA, PA .

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 1972, MT20 (04) :292-&

[8] ANALYSIS OF WAVEGUIDES OF DOUBLY-CONNECTED CROSS-SECTION BY METHOD OF CONFORMAL MAPPING [J].

LAURA, PA ;

MAURIZI, MJ ;

ROMANELLI, E .

JOURNAL OF SOUND AND VIBRATION, 1972, 20 (01) :27-+

[9] TRANSVERSE VIBRATION OF MEMBRANES OF ARBITRARY SHAPE BY METHOD OF CONSTANT-DEFLECTION CONTOURS [J].

MAZUMDAR, J .

JOURNAL OF SOUND AND VIBRATION, 1973, 27 (01) :47-57

[10] TE- AND TM-WAVES IN WAVEGUIDES OF VERY GENERAL CROSS SECTION [J].

MEINKE, HH ;

LANGE, KP ;

RUGER, JF .

PROCEEDINGS OF THE IEEE, 1963, 51 (11) :1436-&

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