Effect of elastic foundation on the vibration of orthotropic elliptic plates with varying thickness

被引：11
|
作者：
Bhardwaj, N.
Gupta, A. P.
Choong, K. K.
机构：
[1] Inst Technol & Management, Dept Appl Sci & Humanities, Gurgaon 122017, Haryana, India
[2] Univ Sains Malaysia, Sch Civil Engn, Perai, P Pinang, Malaysia
来源：
MECCANICA | 2007年 / 42卷 / 04期
关键词：
orthotropic plates; vibration; elastic foundation; Jacobi method; rayleigh-Ritz method;
D O I：
10.1007/s11012-007-9059-5
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Two-dimensional boundary characteristic orthonormal polynomials are used in the Rayleigh-Ritz method to study the free vibration of rectangular orthotropic elliptic plates resting on a Winkler elastic foundation. Two types of varying thickness are considered: (1) linearly varying with respect to the concentric ellipses, (2) linearly varying along both the principal axes simultaneously. Numerical results for frequencies are presented in tables. Nodal lines are shown in figures. Effects of stiffness of elastic foundation, aspect ratios of plates, degree of orthotropy, and types of thickness variation on vibration frequencies of elliptical plates are also discussed.
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页码：341 / 358
页数：18
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