Natural frequencies of rotating functionally graded cylindrical shells

被引：19
|
作者：
Xiang, Song [1 ,2 ]
Li, Guang-chao [3 ]
Zhang, Wei [3 ]
Yang, Ming-sui [3 ]
机构：
[1] Shenyang Aerosp Univ, Liaoning Key Lab Gen Aviat, Shenyang 110136, Peoples R China
[2] Liaoning Gen Aviat Acad, Shenyang 110136, Peoples R China
[3] Shenyang Aerosp Univ, Sch Power & Energy Engn, Shenyang 110136, Peoples R China
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2012年 / 33卷 / 03期
关键词：
natural frequency; rotating; functionally graded material; cylindrical shell; FREE-VIBRATION ANALYSIS;
D O I：
10.1007/s10483-012-1554-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Love's first approximation theory is used to analyze the natural frequencies of rotating functionally graded cylindrical shells. To verify the validity of the present method, the natural frequencies of the simply supported non-rotating isotropic cylindrical shell and the functionally graded cylindrical shell are compared with available published results. Good agreement is obtained. The effects of the power law index, the wave numbers along the x- and theta-directions, and the thickness-to-radius ratio on the natural frequencies of the simply supported rotating functionally graded cylindrical shell are investigated by several numerical examples. It is found that the fundamental frequencies of the backward waves increase with the increasing rotating speed, the fundamental frequencies of the forward waves decrease with the increasing rotating speed, and the forward and backward waves frequencies increase with the increasing thickness-to-radius ratio.
引用
收藏
页码：345 / 356
页数：12
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