NONLINEAR VIBRATION OF A RECTANGULAR PLATE ARBITRARILY LAMINATED OF ANISOTROPIC MATERIAL

被引:43
作者
BERT, CW [1 ]
机构
[1] UNIV OKLAHOMA,SCH AEROSP MECH & NUCL ENGN,NORMAN,OK 73069
来源
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1973年 / 40卷 / 02期
关键词
Vibrations (mechanical) - Laminating - Laminated composites;
D O I
10.1115/1.3423005
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
A new simplified approach is presented for calcidating the flexural frequencies of a composite-material plate undergoing moderately large, normal deflections. The plate may be arbitrarily laminated with respect to the midplane, so that bending-stretching coupling is present. The approach used is a generalization of the work of Wah for homogeneous, isotropic plates. In the case of ortholropic plates, it differs from various orthotopic extensions of the popular Berger hypothesis. The present theory is applied to the practical case of a clamped rectangular plate with finite in-plane restraint. The results are compared satisfactorily with those of previous analyses for various special cases. © 1973 by ASME.
引用
收藏
页码:452 / 458
页数:7
相关论文
共 35 条
[1]  
AMBARTSUMAYN SA, 1964, TTF118 NASA, P19
[2]  
AMBARTSUMYAN SA, 1970, THEORY ANISOTROPIC P
[3]   APPROXIMATE SOLUTIONS FOR UNSYMMETRICALLY LAMINATED PLATES [J].
ASHTON, JE .
JOURNAL OF COMPOSITE MATERIALS, 1969, 3 (JAN) :189-&
[4]   NONLINEAR VIBRATION OF SIMPLY SUPPORTED ANGLE PLY LAMINATED PLATES [J].
BENNETT, JA .
AIAA JOURNAL, 1971, 9 (10) :1997-+
[5]  
Berger H. M., 1955, J APPL MECH, V22, P465
[6]   FREE VIBRATIONS OF UNSYMMETRICALLY LAMINATED ANISOTROPIC PLATES WITH CLAMPED EDGES [J].
BERT, CW ;
MAYBERRY, BL .
JOURNAL OF COMPOSITE MATERIALS, 1969, 3 (APR) :282-&
[7]  
Carmichael T.E., 1959, QUART J MECHANICS AP, V12, P29
[8]  
FELGAR RP, 1950, 14 U TEX BUR ENG RES
[9]  
HASSERT JE, 1962, 5TH P INT S SPAC TEC, P561
[10]   THE FUNDAMENTAL FREQUENCY OF VIBRATION OF RECTANGULAR WOOD AND PLYWOOD PLATES [J].
HEARMON, RFS .
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON, 1946, 58 (325) :78-92