Stability analysis of a pipe conveying fluid with a nonlinear energy sink

被引：1
|
作者：
Nan DUAN [1 ]
Sida LIN [1 ]
Yuhu WU [1 ]
Xi-Ming SUN [1 ]
Chongquan ZHONG [1 ]
机构：
[1] Key Laboratory of Intelligent Control and Optimization for Industrial Equipment of Ministry of Education,School of Control Science and Engineering, Dalian University of Technology
来源：
Science China(Information Sciences) | 2021年 / 64卷 / 05期
基金：
中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
TH113.25 [];
学科分类号：
080203 ;
摘要：
This paper considers the global stability problem of the system comprising a pipe conveying fluid and a nonlinear energy sink(PCF-NES) system. First, a quadratic form model containing a gradient term of a convex function is obtained from a high-order partial-differential-equation model of the PCF-NES system using the Galerkin approximation approach. Energy and disturbance functionals are then established based on this model. Second, a Lyapunov function is constructed based on the first-order characteristic of the convexity and energy disturbance technique to prove the global exponential stability of the approximated PCF-NES system. Finally, theoretical results are verified using numerical simulations and the positive effect of the NES on the vibration control of the entire PCF is discussed.
引用
收藏
页码：85 / 99
页数：15
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