Axisymmetric transverse vibrations of circular cylindrical shells with variable thickness

被引:38
|
作者
Duan, W. H. [1 ]
Koh, C. G. [1 ]
机构
[1] Natl Univ Singapore, Dept Civil Engn, Singapore 117576, Singapore
关键词
D O I
10.1016/j.jsv.2008.03.069
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
In this study, analytical solutions for axisymmetric transverse vibration of cylindrical shells with thickness varying monotonically in arbitrary power form due to forces acting in the transverse direction are derived for the first time, in terms of generalized hypergeometric function. To illustrate the use of the closed form solutions presented, free vibration analyses of a cylindrical shell with thickness variation under simply supported and clamped ends conditions are performed. The benchmark solutions may be used to check against numerical solutions for analysis of shells under dynamic load. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1035 / 1041
页数:7
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