接地惯容式减振器对悬臂输流管稳定性 和动态响应的影响研究

郭梓龙; 王琳; 倪樵; 贾青青; 杨文正

doi:10.6052/0459-1879-21-105

接地惯容式减振器对悬臂输流管稳定性和动态响应的影响研究

doi: 10.6052/0459-1879-21-105

华中科技大学工程力学系, 武汉 430074

基金项目: 1)国家自然科学基金资助项目(12072119);国家自然科学基金资助项目(11972167)

详细信息

作者简介:
2)王琳, 教授, 主要研究方向: 非线性动力学、动力学与控制. E-mail: wanglindds@hust.edu.cn

通讯作者:
王琳

中图分类号: O322
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出版历程
- 收稿日期: 2021-03-17
- 刊出日期: 2021-06-01

RESEARCH ON THE INFLUENCE OF GROUNDED INERTER-BASED ABSORBER ON THE STABILITY AND DYNAMIC RESPONSE OF CANTILEVERED PIPE CONVEYING FLUID

Department of Engineering Mechanics, Huazhong University of Science and Technology, Wuhan 430074, China

摘要

摘要: 输流管道广泛应用于机械、航空、核电和石油等重要工程领域.为防止管道结构因流致振动破坏造成的损失, 很有必要对其稳定性、动力学响应及其调控进行深入研究.本文提出一种由惯容器、弹簧和阻尼器并联组成的减振器模型, 研究了这种接地惯容减振器对悬臂输流管稳定性和非线性振动的影响. 首先, 基于哈密顿原理给出了带有接地惯容减振器非保守系统的非线性动力学模型; 然后, 利用高阶伽辽金方法对非线性方程进行离散化; 最后, 分别从线性和非线性角度分析了不同减振器参数下输流管道的被动控制效果, 着重讨论了惯容系数和减振器安装位置对悬臂管稳定性和动态响应的影响机制.线性理论模型的研究结果显示, 接地惯容减振器可显著影响悬臂管的失稳临界流速, 故通过调节减振器参数能有效提高输流管道的稳定性;惯容系数和弹簧刚度对系统稳定性的控制效果还与减振器的安装位置密切相关.非线性理论模型的分析结果显示, 惯容系数和减振器位置对输流管的非线性动态响应也有显著影响, 且这种影响还依赖于管道的流速取值; 在某些参数条件下, 减振器还可使输流管道由周期运动演化为复杂的混沌行为. 本文研究结果表明, 通过设计合理的惯容式减振器参数, 可提升悬臂输流管道的稳定性并有效抑制其颤振幅值.
- 输流管道 /
- 被动控制 /
- 惯容器 /
- 减振器 /
- 颤振 /
- 非线性动力学
Abstract: Pipes conveying fluid are widely used in important engineering fields such as machinery, aviation, nuclear power and petroleum industries. In order to prevent the damage of pipeline structures due to flow-induced vibrations, it is necessary to conduct in-depth research on the stability, dynamic response and regulation of pipes conveying fluid. This paper proposes a grounded absorber model composed of an inerter, a spring and a damper in parallel, and studies the influence of this grounded absorber on the stability and nonlinear vibrations of the cantilevered pipe conveying pipe. First, a nonlinear dynamical model of the non-conservative system with a grounded inerter-based absorber is introduced based on Hamilton's principle. Then, the nonlinear governing equation is discretized using a high-order Galerkin method. Finally, the passive control effect of the cantilevered pipe under different absorber parameters is analyzed from both linear and non-linear perspectives, and the influence mechanism of the inertia coefficient and the installation position of the vibration absorber on the stability and dynamic responses of the cantilevered pipe are discussed. The results based on the linear theoretical model show that the grounded inerter-based absorber can significantly affect the critical flow velocity of the cantilevered pipe, and hence the stability of the pipe can be effectively improved by adjusting the parameters of the vibration absorber. The control effect of the inertia coefficient and spring stiffness on the stability of the system is found to be closely related to the installation position of the vibration absorber. The results based on the nonlinear theoretical model show that the nonlinear dynamic responses of the pipe conveying fluid are also significantly affected by the inertia coefficient and the position of the vibration absorber, and this effect depends on the value of the flow velocity of the pipe. Under certain parameter conditions, the vibration absorber can evolve the pipe conveying fluid from periodic motion to complex chaotic behavior. The results obtained in this paper demonstrate that by designing reasonable parameters of the inerter-based absorber, the stability of the cantilevered pipe conveying pipe can be improved and the vibration amplitudes of the pipe can be effectively suppressed.
- pipe conveying fluid /
- passive control /
- inerter /
- vibration absorber /
- flutter /
- nonlinear dynamics

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参考文献(38)

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