单边约束下受脉动内流激励作用简支输流管的碰振响应研究

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摘要通过使用一个受拉时刚度几乎为零、受压后刚度迅速增大的非线性弹簧模拟单边约束，研究了单边约束下受脉动内流激励作用简支输流管的非线性动力学行为，分析了脉动激励频率、流体流速、约束的位置坐标、约束间隙等参数对输流管动力学特性的影响。单边约束下简支输流管由稳定的周期运动通向混沌的三种主要路径：经概周期运动通向混沌窗口、发生倍周期分岔通向混沌窗口与直接跳跃进入混沌窗口。观察到了N2/N1周期碰撞振动、倍周期碰振响应与擦边运动等非光滑碰振系统特有的现象。单边约束处于适当的位置可使输流管的最大响应幅值大幅度降低，甚至能使输流管与约束一直处于黏滞状态。

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	王天林1
	郭长青2
	漆发辉1
	许锋2
	卢小缅3
	方孟孟4

关键词 ：输流管, 单边约束, 脉动内流激励, 碰撞振动, 混沌

Abstract：By using a nonlinear spring with infinitesimal stiffness in tension but rapidly increasing stiffness in compression to simulate the unilateral constraint, the nonlinear dynamic behaviors of a simply supported fluid conveying pipe with a unilateral constraint under the excitation of pulsating internal flow under are studied. The influences of pulsating excitation frequency, parameters such as flow velocity, axial coordinate and lateral spacing of the constraint on the dynamic characteristics of the pipe are analyzed. There are three main paths from stable periodic motion to chaos in simply supported pipe under unilateral constraints: almost periodic motion leads to chaos window, period-doubling bifurcation leads to chaos window, and directly leads to chaos window. The characteristic phenomena of the non-smooth vibration system, such as N2/N1 periodic impact vibration, period-doubling of impact response and grazing motion have been observed. The proper position of the unilateral constraint can greatly reduce the maximum response amplitude of fluid conveying pipe, and even make fluid conveying pipe and the constraint is always in a sticky state.

Key words： fluid conveying pipe unilateral constraint pulsating internal flow excitation impact vibration chaotic

收稿日期: 2022-12-26 出版日期: 2023-11-28

引用本文:

王天林1，郭长青2，漆发辉1，许锋2，卢小缅3，方孟孟4. 单边约束下受脉动内流激励作用简支输流管的碰振响应研究[J]. 振动与冲击, 2023, 42(22): 210-219.
WANG Tianlin1,GUO Changqing2,QI Fahui1,XU Feng2,LU Xiaomian3,FANG Mengmeng4. Research on impact vibration response of a simply supported fluid conveying pipe excited by pulsating internal flow under unilateral constraint. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(22): 210-219.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I22/210

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