Power flow analysis of multi-span coupled plates using Fourier expansion

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Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (14) : 103-108.

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Power flow analysis of multi-span coupled plates using Fourier expansion

ZHANG An-fu，SHENG Mei-ping，ZHAO Zhi-mei，ZHANG Yi-ping

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Abstract

An analytical method which calculates the vibration response of multi-span coupled plates using Fourier expansion is proposed. Multi-span coupled plates model was built, the Fourier expansion of the point excitation force and the unknown coupling moment was obtained, based on angular velocity continuity condition on coupling sides, the coupling moment could be achieved, and then it is convenient to solve the vibration response of all plates. According to power flow theory, the expression of input power flow through excitation point and transferred power flow through coupling sides was deduced. Three-span coupled plates model was treated as the theoretical simulation object, and checked by the finite element software ANSYS. Using the theoretical modal, the effect of damping and excitation location on input and transferred power flow was considered. The results indicated that damping-treatment on excited plate and exciting the center of plate could availably reduce the input and transferred power flow.

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coupled plates / power flow / Fourier expansion / ANSYS

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ZHANG An-fu;SHENG Mei-ping;ZHAO Zhi-mei;ZHANG Yi-ping. Power flow analysis of multi-span coupled plates using Fourier expansion[J]. Journal of Vibration and Shock, 2013, 32(14): 103-108