Numerical simulation of vibration response of pipe conveying fluid based on a generalized finite difference method

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (24) : 165-171.

ZHANG Ting1,LIN Zhenhuan1,GUO Xiaomei1,ZHANG Heng1,FAN Jiaming2

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Abstract

In this study, a high-order accuracy numerical model of the meshless method, called generalized finite difference method (GFDM), was generalized to analyze the transverse vibration problem of pipe conveying fluid.Based on the differential equation of transverse vibration, the GFDM and the Houbolt methods were adopted to discretize the partial differential items in space and time, respectively.The consistent with good results of natural frequency and the amplitude time range was compared with the theoretical solution and other numerical results reported in literature.Meanwhile, the numerical model proposed in this paper has good stability and robustness in solving the vibration response of pipe conveying fluid by comparing with the vibration amplitude at the midpoint with different total number of points N, time step Δt and sub-region selection points ns, respectively.Furthermore, detailed analysis of the vibration response characteristics with several typical boundary conditions indicates that the vibration amplitude at the midpoint of the pined-pined pipe is much large than that of two other boundary conditions, and the vibration frequency of the clamped-clamped pipe is more fast than that of others.Besides, the position of the maximum amplitude of the vibration is shifted to the weak constraint when the end of restrictive condition is asymmetric.

Key words

words: pipe conveying fluid / meshless method / generalized finite difference method(GFDM) / Houbolt method / transverse vibration

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ZHANG Ting1,LIN Zhenhuan1,GUO Xiaomei1,ZHANG Heng1,FAN Jiaming2. Numerical simulation of vibration response of pipe conveying fluid based on a generalized finite difference method[J]. Journal of Vibration and Shock, 2019, 38(24): 165-171

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