Traveling wave solution and vibration suppression for an axially moving string with nonclassical boundaries

被引：0
|
作者：
He Y.-T. [1 ]
Chen E.-W. [1 ]
Wu Y.-F. [1 ]
Ren X.-Q. [1 ]
Lu Y.-M. [1 ]
机构：
[1] School of Mechanical Engineering, Hefei University of Technology, Hefei
来源：
Zhendong Gongcheng Xuebao/Journal of Vibration Engineering | 2023年 / 36卷 / 05期
关键词：
axially moving string systems; nonclassical boundaries; traveling waves; vibration suppression;
D O I：
10.16385/j.cnki.issn.1004-4523.2023.05.014
中图分类号：
学科分类号：
摘要：
An axially moving string system which is widely used in engineering equipment has attracted much attention for its trans⁃ verse vibration problem affecting the normal operation of the equipment. For an axially moving string system with nonclassical boundaries，the analytical solution of the displacement response and energy at any propagating cycle is extended by applying the traveling wave reflection superposition method with a given uniform harmonic excitation force and initial conditions. The method of vibration suppression by the boundary control has the advantages of simplicity and economy. By installing the sensor，controller and actuator at the boundary，the control force is designed based on the optimal damping value and the vibration suppression of the reflected traveling wave. The transverse vibration is quickly suppressed after the first propagating cycle. During free and forced vi⁃ bration of an axially moving string，the effectiveness of vibration suppression is demonstrated by simulations. © 2023 Nanjing University of Aeronautics an Astronautics. All rights reserved.
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页码：1300 / 1308
页数：8
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