Nonlinear impacting oscillations of a fluid-conveying pipe subjected to distributed motion constraints
Nonlinear impacting oscillations of a fluid-conveying pipe subjected to distributed motion constraints
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DOI：
10.1007/s11071-015-2038-9
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发表时间：
2015-03
影响因子：
5.6
通讯作者：
Q. Ni;Yikun Wang;M. Tang;Yangyang Luo;Hao Yan;Lin Wang
中科院分区：
文献类型：
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作者：
Q. Ni;Yikun Wang;M. Tang;Yangyang Luo;Hao Yan;Lin Wang
本文首先研究了悬臂输流管道与两侧支承壁相互作用的非线性动力学问题。本研究的主要目的是探讨悬臂管道的动力学将如何表现在两个支撑墙沿着管轴的存在。为了模拟管道在不同流速下的冲击效应，将相互作用力定义为冲击力。冲击力由三次弹簧或三线性弹簧模拟。采用Galerkin法离散非线性运动方程，并采用四阶龙格-库塔法求解离散后的方程。结果表明，当流速刚超过临界值时，管道会周期性地撞击壁面。然而，当流速足够高时，管道可以表现出不同的接触壁的模式，例如点接触和段接触。在这样的管道系统中观察到周期，准周期运动，以及混沌振荡。
In this paper, the nonlinear dynamics of a cantilevered pipe conveying fluid interacting with two support walls on both sides is first investigated. The main goal of this study is to explore how the dynamics of a cantilevered pipe will perform in the presence of two support walls along the pipe axis. The interacting force is defined as impact in order to simulate the impacting effects for a pipe with various flow velocities. The impact force is modeled either by a cubic spring or by a trilinear spring. The nonlinear equations of motion are discretized via Galerkin’s method, and the discretized equations are solved by using a fourth-order Runge–Kutta method. Results show that the pipe would periodically impact the walls when the flow velocity is just beyond the critical value. When the flow velocity is sufficiently higher, however, the pipe may behave different patterns of contacting the walls, such as point contact and segments contact. Periodic, quasi-periodic motions, as well as chaotic oscillations are observed in such a pipe system.