Axial coupled response characteristics of a fluid-conveying pipeline based on split-coefficient matrix finite difference method

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (5) : 148-154.

ZHANG Ting1, TAN Zhixin1, ZHANG Heng1, FAN Chiaming2, YANG Zhiqiang1

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Abstract

To study axial coupled vibration response of a fluid-conveying pipeline excited by water hammer, the split-coefficient matrix finite difference method (SCM-FDM) combined with the implicit Euler method (IEM) was proposed to do numerical simulation for the pipeline 4-quation dynamic model with fluid-structure interaction. The proposed SCM-FDM was simple, easy and stable to implement since the appropriate difference formulas were selected according to the direction of wave propagation. Compared with the method of characteristics lines (MOCL), SCM-FDM avoids time-consuming calculations of spatial or temporal interpolations. To verify the applicability and accuracy of SCM-FDM, its computation results were compared with other authors’ numerical results and those of the water hammer theory, they agreed well each other. Furthermore, the effects of fluid velocity, fluid pressure, axial pipe vibration velocity and pipe-wall stress on the system’s vibration response features were analyzed in two cases including only considering Poisson coupling and considering both Poisson coupling and connection one. The results indicated that the effects of both two couplings on the axial vibration features of the fluid-conveying pipeline can’t be ignored; Poisson-coupling mainly affects amplitudes of vibration response, while the connection coupling affects both amplitude and frequency of vibration response.

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split-coefficient matrix finite difference method / water hammer / fluid-structure interaction / vibration response / numerical simulation

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ZHANG Ting1, TAN Zhixin1, ZHANG Heng1, FAN Chiaming2, YANG Zhiqiang1. Axial coupled response characteristics of a fluid-conveying pipeline based on split-coefficient matrix finite difference method[J]. Journal of Vibration and Shock, 2018, 37(5): 148-154

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