Wave propagation method for in-plane vibration of axially extensible curved pipe conveying fluid

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Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (8) : 128-133.

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Wave propagation method for in-plane vibration of axially extensible curved pipe conveying fluid

Baohui Li Hangshan Gao Yongshou Liu

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Abstract

Taking the curved pipe as curved Timoshenko beam, the dynamic equations of in-plane vibration of curved pipe conveying fluid was deduced based on axially extensible assumption. The wave propagation method was applied to analyze the above vibration equations. After establishing the wave propagation and reflection matrices, the numerical method for calculating the natural frequency of axially extensible curved pipe’s in-plane vibration was proposed. In the example, the first five natural frequencies of clamped-clamped semi-circular pipe conveying fluid were obtained under four different fluid velocities. The results shown that unlike the axially inextensible curved pipe conveying fluid, the bulking instability caused by high fluid velocity do not occur in the axially extensible curved pipe conveying fluid supported at both ends.

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axially extensible curved pipe conveying fluid / in-plane vibration / natural frequency / wave propagation method

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Baohui Li Hangshan Gao Yongshou Liu. Wave propagation method for in-plane vibration of axially extensible curved pipe conveying fluid[J]. Journal of Vibration and Shock, 2013, 32(8): 128-133