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

被引：17
|
作者：
Duan, Nan [1 ]
Lin, Sida [1 ]
Wu, Yuhu [1 ]
Sun, Xi-Ming [1 ]
Zhong, Chongquan [1 ]
机构：
[1] Dalian Univ Technol, Sch Control Sci & Engn, Key Lab Intelligent Control & Optimizat Ind Equip, Minist Educ, Dalian 116024, Peoples R China
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：
stability analysis; energy disturbance technique; convexity characteristic; pipes conveying fluid; nonlinear energy sink;
D O I：
10.1007/s11432-019-2822-3
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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
页数：15
相关论文
共 50 条
  • [1] Stability analysis of a pipe conveying fluid with a nonlinear energy sink
    Nan Duan
    Sida Lin
    Yuhu Wu
    Xi-Ming Sun
    Chongquan Zhong
    [J]. Science China Information Sciences, 2021, 64
  • [2] Stability analysis of a pipe conveying fluid with a nonlinear energy sink
    Nan DUAN
    Sida LIN
    Yuhu WU
    Xi-Ming SUN
    Chongquan ZHONG
    [J]. Science China(Information Sciences), 2021, 64 (05) : 85 - 99
  • [3] Lyapunov-based Stability Analysis for Conveying Fluid Pipe with Nonlinear Energy Sink
    Duan, Nan
    Wu, Yuhu
    Sun, Xi-Ming
    Zhong, Chongquan
    Wang, Wei
    [J]. IFAC PAPERSONLINE, 2020, 53 (02): : 9157 - 9162
  • [4] Stability and nonlinear vibration characteristics of cantilevered fluid-conveying pipe with nonlinear energy sink
    Chang, Xueping
    Hong, Xiaoxiang
    [J]. THIN-WALLED STRUCTURES, 2024, 205
  • [5] Dynamics of a harmonically excited nonlinear pipe conveying fluid equipped with a local nonlinear energy sink
    Mirhashemi, Sajad
    Saeidiha, Majid
    Ahmadi, Habib
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 118
  • [6] Vibration Control of Conveying Fluid Pipe Based on Inerter Enhanced Nonlinear Energy Sink
    Duan, Nan
    Wu, Yuhu
    Sun, Xi-Ming
    Zhong, Chongquan
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2021, 68 (04) : 1610 - 1623
  • [7] Nonlinear vibration control of a cantilevered fluid-conveying pipe using the idea of nonlinear energy sink
    Zhou, K.
    Xiong, F. R.
    Jiang, N. B.
    Dai, H. L.
    Yan, H.
    Wang, L.
    Ni, Q.
    [J]. NONLINEAR DYNAMICS, 2019, 95 (02) : 1435 - 1456
  • [8] Nonlinear vibration control of a cantilevered fluid-conveying pipe using the idea of nonlinear energy sink
    K. Zhou
    F. R. Xiong
    N. B. Jiang
    H. L. Dai
    H. Yan
    L. Wang
    Q. Ni
    [J]. Nonlinear Dynamics, 2019, 95 : 1435 - 1456
  • [9] Vibration control of a pipe conveying fluid under external periodic excitation using a nonlinear energy sink
    Ali Ebrahimi Mamaghani
    S. E. Khadem
    Saeed Bab
    [J]. Nonlinear Dynamics, 2016, 86 : 1761 - 1795
  • [10] Vibration control of a pipe conveying fluid under external periodic excitation using a nonlinear energy sink
    Mamaghani, Ali Ebrahimi
    Khadem, S. E.
    Bab, Saeed
    [J]. NONLINEAR DYNAMICS, 2016, 86 (03) : 1761 - 1795
12345