VIBRATION OF SYMMETRICALLY LAMINATED CANTILEVER TRAPEZOIDAL COMPOSITE PLATES

被引:34
作者
LIEW, KM
机构
[1] Division of Applied Mechanics, School of Mechanical and Production Engineering, Nanyang Technological University, Singapore, 2263, Nanyang Avenue
关键词
D O I
10.1016/0020-7403(92)90037-H
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
The paper presents a general numerical method for vibration analysis of symmetrically laminated cantilever thin trapezoidal composite plates. The Rayleigh-Ritz method, along with displacements assumed in the form of 2-D orthogonal polynomials, is used to solve the problems. These 2-D orthogonal polynomials are generated using a proposed recurrence formula. Several numerical examples are presented to demonstrate the accuracy, efficiency and versatility of the method. Natural frequencies and mode shapes for the trapezoidal plates are obtained for different numbers of layers, fibre orientations, a/b and c/a ratios. These results, to the author's knowledge, are first known in the open literature. Thus the present study may provide very useful information to the engineers who work in this area.
引用
收藏
页码:299 / 308
页数:10
相关论文
共 19 条
[1]  
Ashton JE, 1969, SHOCK VIBR B, V39, P81
[2]   OPTIMAL DESIGN OF A COMPOSITE-MATERIAL PLATE TO MAXIMIZE ITS FUNDAMENTAL FREQUENCY [J].
BERT, CW .
JOURNAL OF SOUND AND VIBRATION, 1977, 50 (02) :229-237
[3]  
BERT CW, 1977, SHOCK VIBR B, V47, P89
[5]   EFFECT OF FIBER ORIENTATION ON THE VIBRATION BEHAVIOR OF ORTHOTROPIC RECTANGULAR-PLATES [J].
CHELLADURAI, T ;
SHASTRY, BP ;
RAO, GV .
FIBRE SCIENCE & TECHNOLOGY, 1984, 21 (01) :73-81
[6]   VIBRATION STUDIES FOR SIMPLY SUPPORTED SYMMETRICALLY LAMINATED RECTANGULAR-PLATES [J].
LEISSA, AW ;
NARITA, Y .
COMPOSITE STRUCTURES, 1989, 12 (02) :113-132
[7]  
LEISSA AW, 1973, J SOUND VIB, V31, P257, DOI DOI 10.1016/S0022-460X(73)80371-2
[8]   A RAYLEIGH-RITZ APPROACH TO TRANSVERSE VIBRATION OF ISOTROPIC AND ANISOTROPIC TRAPEZOIDAL PLATES USING ORTHOGONAL PLATE FUNCTIONS [J].
Liew, K. M. ;
Lam, K. Y. .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1991, 27 (02) :189-203
[9]   APPLICATION OF 2-DIMENSIONAL ORTHOGONAL PLATE FUNCTION TO FLEXURAL VIBRATION OF SKEW PLATES [J].
LIEW, KM ;
LAM, KY .
JOURNAL OF SOUND AND VIBRATION, 1990, 139 (02) :241-252
[10]  
LIEW KM, 1990, THESIS NATIONAL U SI