Analysis of nonlinear dynamic characteristics of periodic pipe conveying fluid

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (10) : 75-80.

ZHOU Kun1,2，NI Qiao1,2，DAI Huliang1,2，WANG Lin1,2，XIONG Furui3，JIANG Naibin3

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Abstract

Based on the absolute nodal coordinate formulation, the nonlinear dynamic equations of the periodic cantilevered pipe conveying fluid with different materials under steady flow were derived.Numerical solution method was employed to investigate the stability and nonlinear dynamic behaviors of periodic fluid-conveying pipe with two different materials: aluminum-steel and steel-aluminum periodic variation.Stability analysis shows that when the pipe per unit length has more than 8 period numbers, the critical flow velocity for these two kinds of periodic pipe tends to be constant.The nonlinear analysis indicates that the nonlinear dynamic behavior of aluminum-steel periodic pipe conveying fluid becomes more complicated with the decrease of period number, from periodic response to complicated dynamic responses including multi-periodic, periodic-doubling, quasiperiodic, and chaotic behaviors.While for steel-aluminum periodic pipe, the pipe is always displaying a single-period motion state.

Key words

absolute nodal coordinate formulation / periodic pipe conveying fluid / nonlinear dynamics / chaotic response

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ZHOU Kun1,2，NI Qiao1,2，DAI Huliang1,2，WANG Lin1,2，XIONG Furui3，JIANG Naibin3. Analysis of nonlinear dynamic characteristics of periodic pipe conveying fluid[J]. Journal of Vibration and Shock, 2020, 39(10): 75-80

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