Asymptotic Stabilization of a Flexible Beam with Attached Mass

被引：0
|
作者：
J. I. Kalosha
A. L. Zuyev
机构：
[1] Institute of Applied Mathematics and Mechanics,
[2] National Academy of Sciences of Ukraine,undefined
[3] Otto von Guericke University Magdeburg,undefined
[4] Max Planck Institute for Dynamics of Complex Technical Systems,undefined
来源：
Ukrainian Mathematical Journal | 2022年 / 73卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider a mathematical model of a simply supported Euler–Bernoulli beam with an attached springmass system. The model is controlled by distributed piezo-actuators and a lumped force. We address the issue of asymptotic behavior of the solutions of this system driven by a linear feedback law. The precompactness of trajectories is established for the operator formulation of the closed-loop dynamics. Sufficient conditions for the strong asymptotic stability of the trivial equilibrium are obtained.
引用
收藏
页码：1537 / 1550
页数：13
相关论文
共 50 条
  • [21] Feedback Stabilization of a System of Rigid Bodies with a Flexible Beam
    Zuyev, Alexander
    ROBOT MOTION AND CONTROL 2009, 2009, 396 : 69 - 81
  • [22] In-plane vibration of a rigid body attached to a flexible rotating beam
    Anilkumar, A.
    Kartik, V
    JOURNAL OF SOUND AND VIBRATION, 2020, 475
  • [23] Nonlinear vibrations of a beam with a tip mass attached to a rotating hub
    Warminski, Jerzy
    Balthazar, Jose Manoel
    Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Vol 1, Pts A-C, 2005, : 1619 - 1624
  • [24] Linear vibrations of a rotating elastic beam with an attached point mass
    Furta, SD
    JOURNAL OF ENGINEERING MATHEMATICS, 2003, 46 (02) : 165 - 188
  • [25] Feedback stabilization of a Timoshenko beam with an end mass
    Shi, DH
    Hou, SH
    Feng, DX
    INTERNATIONAL JOURNAL OF CONTROL, 1998, 69 (02) : 285 - 300
  • [26] Linear vibrations of a rotating elastic beam with an attached point mass
    Stanislav D. Furta
    Journal of Engineering Mathematics, 2003, 46 : 165 - 188
  • [27] The dynamical analysis of a finite inextensible beam with an attached accelerating mass
    Wang, YM
    INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1998, 35 (9-10) : 831 - 854
  • [28] Global asymptotic stabilization for some nonlinear models of flexible aerospace vehicles
    Burlion, Laurent
    Duraffourg, Elodie
    Ahmed-Ali, Tarek
    Lamnabhi-Lagarrigue, Francoise
    2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2013, : 4230 - 4235
  • [29] Attitude dynamics of a spacecraft with tip mass attached deploying flexible appendage
    Shen, Shao-Ping
    Li, Zhi-Bin
    Zhendong yu Chongji/Journal of Vibration and Shock, 2008, 27 (05): : 115 - 118
  • [30] Dynamics of an orbiting flexible beam with a moving mass
    Oguamanam, DCD
    Hansen, JS
    Heppler, GR
    AIAA JOURNAL, 2001, 39 (11) : 2225 - 2227
12345