ANALYSIS OF THE DOUBLY CONNECTED PROBLEM OF VIBRATING POLYGONAL PLATES

被引:5
作者
NAGAYA, K
机构
[1] Department of Mechanical Engineering, Faculty of Engineering, Yamagata University, Yonezawa
关键词
D O I
10.1121/1.383651
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
In this paper a method for solving vibration problems of thin polygonal plates, with circular inside edges, is presented. The frequency equations of the polygonal plates are given for various combinations of outer and inner boundary conditions. Numerical calculations are carried out for cases of triangular, square, pentagonal, and hexagonal plates. © 1979 Acoustical Society of America
引用
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页码:1795 / 1800
页数:6
相关论文
共 13 条
[1]  
Conway H.D., 1965, INT J MECH SCI, V7, P811
[2]  
CONWAY HD, 1960, J APPL MECH, V28, P288
[3]  
Hegarty R. F., 1975, International Journal of Solids and Structures, V11, P895, DOI 10.1016/0020-7683(75)90012-8
[4]  
IRIE T, 1978, B JSME, V21, P1696, DOI 10.1299/jsme1958.21.1696
[5]   EIGENVALUE PROBLEM FOR 2-DIMENSIONAL REGIONS WITH IRREGULAR BOUNDARIES [J].
LAURA, PA .
JOURNAL OF APPLIED MECHANICS, 1968, 35 (01) :198-&
[6]   VIBRATIONS AND DYNAMIC-RESPONSE OF MEMBRANES WITH ARBITRARY SHAPE [J].
NAGAYA, K .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1978, 45 (01) :153-158
[7]   DYNAMICS OF VISCOELASTIC PLATE WITH CURVED BOUNDARIES OF ARBITRARY SHAPE [J].
NAGAYA, K .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1978, 45 (03) :629-635
[8]   VIBRATIONS OF A PLATE WITH AN ELASTIC CONSTRAINT OF ECCENTRIC CIRCULAR PART [J].
NAGAYA, K .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1979, 66 (01) :185-191
[9]  
NAGAYA K, ASME J APPL MECH
[10]   APPLICATION OF COMPLEX-VARIABLE THEORY TO DETERMINATION OF FUNDAMENTAL FREQUENCY OF VIBRATING PLATES [J].
SHAHADY, PA ;
PASSARELLI, R ;
LAURA, PA .
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 1967, 42 (04) :806-+