Natural frequency analysis of complex hydraulic pipelines based on straight-curved pipeline assembly algorithm

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (7) : 13-22.

HAN Tao LIU Wei ZHANG Zijun ZHAO Tonglai LIU Yongshou

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Abstract

The geometry of air pipeline system is generally complicated, such as, L-shaped, U-shaped, Z-shaped configurations and so on, but they contain a typical pipeline basic element of “straight pipe-curved pipe”. Here, an algorithm based on straight-curved assembly pipeline was proposed to realize more efficient modeling and modal analysis of complex pipeline systems. Starting from 3-D vibration governing equations of a straight pipe element and a curved one, respectively, discrete modes and dynamic stiffness matrices of pipe elements were derived based on frequency dispersion relation. Then all straight pipe elements and curved ones were assembled under a global coordinate system, the whole pipeline system’s dynamic stiffness matrix and characteristic equation were established. Finally, the proposed algorithm was validated. This method was used to analyze the influence law of piping layout on natural frequencies of Z-shaped pipes and deduce the empirical formula. Tests showed that the results of the empirical formula agree well with those of tests, their error is less than 5%,, so the empirical formula can be used to design Z-shaped pipes within an allowable error range.

Key words

pipeline assembly / dynamic stiffness matrix / natural frequency

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HAN Tao LIU Wei ZHANG Zijun ZHAO Tonglai LIU Yongshou. Natural frequency analysis of complex hydraulic pipelines based on straight-curved pipeline assembly algorithm[J]. Journal of Vibration and Shock, 2018, 37(7): 13-22

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