Free vibration analysis of circular plates with general elastic boundary support

被引：0

作者：

Li, Qiu-Hong ^{[1
]}

Liu, Guang-Ming ^{[1
]}

Xue, Kai ^{[1
]}

Wang, Jiu-Fa ^{[1
]}

Wang, Wei-Yuan ^{[1
]}

机构：

[1] College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin

来源：

Chuan Bo Li Xue/Journal of Ship Mechanics | 2015年 / 19卷 / 1-2期

关键词：

Circular plates; Free vibration; General elastic boundary support; Improved Fourier-Bessel series;

D O I：

10.3969/j.issn.1007-7294.2015.h1.018

中图分类号：

学科分类号：

摘要：

An improve Fourier-Bessel series method and the Rayleigh-Ritz method are proposed to analyze the free vibration of circular plates with elastically restrained boundary conditions. The vibration displacement is expressed as the superposition of Fourier-Bessel series and auxiliary series functions in the form of the product of polynomial function and cosine series expansion. The use of these supplementary functions is to overcome the discontinuity problems encountered in the displacement partial differentials along the edge. Then the Rayleigh-Ritz method can give the matrix equation of the circular plate, and all the frequency parameters can be easily obtained by solving this matrix equation. The eigenvalues are the nature frequencies and the eigenvectors are the modes of the plate. Finally the numerical results and the comparisons with FEA as well as those reported in the literature are presented to validate the correctness of the method. ©, 2015, China Ship Scientific Research Center. All right reserved.

引用

页码：162 / 168

页数：6

共 13 条

[11] Zhou Z.H., Wong K.W., Xu X.S., Leung A.Y.T., Natural vibration of circular and annular thin plates by Hamiltonian approach, Journal of Sound and Vibration, 330, 5, pp. 1005-1017, (2011)
[12] Li W.L., Vibration analysis of rectangular plates with general elastic boundary supports, Journal of Sound and Vibration, 273, 3, pp. 619-635, (2004)
[13] Li W.L., Zhang X., Du J., An exact series solution for the transverse vibration of rectangular plates with general elastic boundary supports, Journal of Sound and Vibration, 321, 1-2, pp. 254-269, (2009)

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