Free vibration characteristic analysis of orthotropic rectangular plates

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (24) : 123-127.

Zeng Juncai1, Wang Jiufa1, Yao Wang2, Yu Tao2

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Abstract

Improved Fourier series method is proposed to develop the transverse vibration model of orthotropic rectangular plates and derive the matrix equation which is equivalent to governing differential equations, the analytical solution for vibration of plate with general elastic boundary condition is obtained. The vibration displacement is sought as the linear combination of a double Fourier cosine series and auxiliary series functions. The use of these supplementary series is to solve the discontinuity problems which encountered in the displacement partial differentials along the edges. The vibration mode characteristics can be obtained by solving the matrix equation. Finally several numerical examples are given and the comparisons with available literature to validate the convergence and correct of the method.

Key words

orthotropic plates / improved Fourier series / general elastic boundary support / analytic solution

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Zeng Juncai1, Wang Jiufa1, Yao Wang2, Yu Tao2. Free vibration characteristic analysis of orthotropic rectangular plates[J]. Journal of Vibration and Shock, 2015, 34(24): 123-127

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