Series transformation method for the free vibration of eccentric cylindrical shell

被引：0
|
作者：
Zhang G.-J. [1 ,2 ]
Li T.-Y. [3 ]
Zhu X. [3 ]
机构：
[1] Key Laboratory of High Performance Ship Technology(Wuhan University of Technology), Ministry of Education, Wuhan
[2] School of Energy and Power Enginering, Wuhan University of Technology, Wuhan
[3] School of Naval Architecture and Ocean Engineering, Huazhong University of Science and Technology, Wuhan
来源：
Zhu, Xiang (zhuxiang@hust.edu.cn) | 1600年 / Nanjing University of Aeronautics an Astronautics卷 / 30期
关键词：
Anti-symmetric mode; Eccentric cylindrical shell; Eccentricity parameters; Free vibration; Series transform;
D O I：
10.16385/j.cnki.issn.1004-4523.2017.06.008
中图分类号：
学科分类号：
摘要：
Eccentric cylindrical shell often can be seen in the practical engineering due to manufacturing error or other special requirements. A new method to study the free vibration characteristics of eccentric cylindrical shell is proposed in this paper. According to the geometry characteristics of the cross section of eccentric cylindrical shell, the eccentric problem is converted into a circumferentially varying thickness problem. The displacements are expanded in double Fourier series in the view of wave propagation and the circumferential thickness is represented as a trigonometric function form. Through a series transformation, the partial differential equations with variable coefficients are converted into a set of linear equations which couple with each other about circumferential modal parameters. Natural frequencies and mode shapes of the eccentric cylindrical shell are obtained by solving the coupled equations. The influence of main parameters of the shell on the symmetric and anti-symmetric modes of elliptic cylindrical shell is discussed in detail. © 2017, Editorial Board of Journal of Vibration Engineering. All right reserved.
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页码：947 / 954
页数：7
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