Lyapunov-based Stability Analysis for Conveying Fluid Pipe with Nonlinear Energy Sink

被引:2
|
作者
Duan, Nan [1 ]
Wu, Yuhu
Sun, Xi-Ming
Zhong, Chongquan
Wang, Wei
机构
[1] Dalian Univ Technol, Key Lab Intelligent Control & Optimizat Ind Equip, Minist Educ, Dalian 116024, Peoples R China
来源
IFAC PAPERSONLINE | 2020年 / 53卷 / 02期
基金
中国国家自然科学基金;
关键词
Conveying fluid pipe; nonlinear energy sink; Galerkin approximation; stability analysis; energy disturbances technique; MECHANICAL OSCILLATORS; PARAMETRIC RESONANCES; DYNAMICS;
D O I
10.1016/j.ifacol.2020.12.2161
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 stability of a conveying fluid pipe with nonlinear energy sink (NES), which is a passive vibration controller. Based on the Galerkin approximation method, the fourth-order partial differential equation (PDE) model of the conveying fluid pipe-NES system is converted into an ordinary differential equation (ODE) form. Then, based on the first order characterization of convexity and energy disturbances technique under the framework of Lyapunov stability theory, global exponential stability of the conveying fluid pipe-NES system is obtained. Copyright (C) 2020 The Authors.
引用
收藏
页码:9157 / 9162
页数:6
相关论文
共 50 条
  • [21] Lyapunov-Based Nonlinear Solution Algorithm for Structural Analysis
    Liang, Xiao
    Mosalam, Khalid M.
    JOURNAL OF ENGINEERING MECHANICS, 2018, 144 (09)
  • [22] The nonlinear vibration analysis of the fluid conveying pipe based on finite element method
    Li, G. (ligongfa@aliyun.com), 1600, Transport and Telecommunication Institute, Lomonosova street 1, Riga, LV-1019, Latvia (18):
  • [23] Lyapunov-based stability analysis automated by genetic programming
    Grosman, Benyamin
    Lewin, Daniel R.
    2006 IEEE CONFERENCE ON COMPUTER-AIDED CONTROL SYSTEM DESIGN, VOLS 1 AND 2, 2006, : 163 - +
  • [24] Lyapunov-based stability analysis for REM congestion control
    Imer, OÇ
    Basar, T
    PROCEEDINGS OF THE 2004 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2004, : 2943 - 2947
  • [25] Lyapunov-based stability analysis automated by genetic programming
    Grosman, Benyamin
    Lewin, Daniel R.
    AUTOMATICA, 2009, 45 (01) : 252 - 256
  • [26] Stability of viscoelastic fluid conveying pipe
    Shen, Yu
    Wang, Bo
    2024 3RD INTERNATIONAL CONFERENCE ON MATERIALS ENGINEERING AND APPLIED MECHANICS, ICMEAAE 2024, 2024, 2808
  • [27] Analysis of nonlinear dynamic characteristics of periodic pipe conveying fluid
    Zhou K.
    Ni Q.
    Dai H.
    Wang L.
    Xiong F.
    Jiang N.
    Ni, Qiao, 2020, Chinese Vibration Engineering Society (39): : 75 - 80
  • [28] Lyapunov-based nonlinear missile guidance
    Léchevin, N
    Rabbath, CA
    JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 2004, 27 (06) : 1096 - 1102
  • [29] Resonance response of fluid-conveying pipe with asymmetric elastic supports coupled to lever-type nonlinear energy sink
    Cao, Runqing
    Wang, Zhijian
    Zang, Jian
    Zhang, Yewei
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2022, 43 (12) : 1873 - 1886
  • [30] Resonance response of fluid-conveying pipe with asymmetric elastic supports coupled to lever-type nonlinear energy sink
    Runqing CAO
    Zhijian WANG
    Jian ZANG
    Yewei ZHANG
    Applied Mathematics and Mechanics(English Edition), 2022, 43 (12) : 1873 - 1886