Free vibration characteristics analysis of orthotropic sound source plates

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (22) : 216-220.

WANG Jiufa

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Abstract

Base on Mindlin plate theory, the vibration model of orthotropic sound source plates is established. and the vibration displacement and the cross-sectional rotations of the mid-plane are sought as the linear combination of a double Fourier cosine series and auxiliary series functions through improved Fourier series method, the use of these supplementary series is to solve the discontinuity problems which encountered in the displacement partial differentials along the edges. Then the vibration matrix equation of orthotropic sound source plates, the vibration characteristics can be obtained by solving the general matrix equation. Finally, the convergence performance of the method in this paper is studied, and the vibration characteristics of the plates under classical boundary conditions are calculated. The accuracy of the method is verified by comparison with the results of the available literature. The influence of boundary conditions is analyzed, which provides support for the optimal design of the sound generator.

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orthotropic material / sound source plate / improved Fourier series / elastic boundary support

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WANG Jiufa. Free vibration characteristics analysis of orthotropic sound source plates[J]. Journal of Vibration and Shock, 2021, 40(22): 216-220

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