Flutter of the cracked cantilevered pipes conveying fluid

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Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (9) : 169-173.

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Flutter of the cracked cantilevered pipes conveying fluid

Ye Xian-hui; Cai Feng-chun; Zang Feng-gang; Zhang Yi-xiong

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Abstract

Based on the extended Lagrange equations for systems containing non-material volumes, the equations of motion for the cracked cantilevered pipe conveying fluid are set up by using the mode functions which satisfy the boundary conditions and geometrical discontinuity conditions obtained by adding polynomial functions to the modal functions of the uncracked beam. The numerical example is utilized to analyze the dynamical performance and flutter characteristic. The calculated results show the critical flow velocity of pipe conveying fluid is descended when the crack is emerged near the clamed end and it is reduced more with the increase the depth of crack. But when crack position is far from the clamed end for certain distance, the critical flow velocity is ascended with the appearance of crack. In addition, the flutter modes of system are changed when the crack is appeared.

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pipe conveying fluid / crack / flutter / critical flow velocity

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Ye Xian-hui;Cai Feng-chun;Zang Feng-gang;Zhang Yi-xiong. Flutter of the cracked cantilevered pipes conveying fluid[J]. Journal of Vibration and Shock, 2011, 30(9): 169-173