Vibration Analysis of T coupling plate structure

SHI Dongyan WANG Qingshan SHI Xianjie LI Wen Long GU Jingjing

Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (4) : 185-189.

PDF(1993 KB)
PDF(1993 KB)
Journal of Vibration and Shock ›› 2014, Vol. 33 ›› Issue (4) : 185-189.
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Vibration Analysis of T coupling plate structure

  • SHI Dongyan 1 WANG Qingshan 1 SHI Xianjie 1 LI Wen Long 2 GU Jingjing 1
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Abstract

In this investigation, an analytical method is presented for the free vibration analysis of T coupling plates with general boundary conditions. The in-plane vibration and out-of-plane vibration have been taken into account at the junction via four types of coupling springs of arbitrary stiffnesses. Regardless of boundary conditions, the transverse and in-plane vibration displacement functions are sought as a new form of trigonometric expansion with accelerated convergence. The displacement functions can overcome all the relevant discontinuities of the elastic boundaries. The expansion coefficients are considered as the generalized coordinates, and determined using the Rayleigh-Ritz method. The free vibration analysis of T coupling plate with various boundary and coupling conditions are carried out using the current method. The reliability and accuracy of the current method are validated with FEM results. This study provides a reliable and theoretical basis for the vibration control of coupling plate structure.



Key words

T coupling plate / Improved Fourier Series Method / general boundary condition / energy method

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SHI Dongyan WANG Qingshan SHI Xianjie LI Wen Long GU Jingjing . Vibration Analysis of T coupling plate structure[J]. Journal of Vibration and Shock, 2014, 33(4): 185-189
PDF(1993 KB)

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