REDUCTION APPROACHES FOR VIBRATION CONTROL OF REPETITIVE STRUCTURES

CHEN Wei-min; SUN Dong-chang; WANG Da-jun; WEI Jian-ping; TONG Li-yong; WANG Quan

doi:10.1007/s10483-006-0509-z

Applied Mathematics and Mechanics >

2006 , Vol. 27 >Issue 5: 637 - 644

DOI: https://doi.org/10.1007/s10483-006-0509-z

Articles

REDUCTION APPROACHES FOR VIBRATION CONTROL OF REPETITIVE STRUCTURES

CHEN Wei-min ,
SUN Dong-chang ,
WANG Da-jun ,
WEI Jian-ping ,
TONG Li-yong ,
WANG Quan

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1. State Key Laboratory for Turbulence and Complex System/Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China;
2. School of Aerospace, Mechanical and Mechatronic Engineering, University of Sydney, Sydney, NSW2006, Australia;
3. Division of Engineering Sciences, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, P. R. China;
4. Mechanical, Materials and Aerospace Engineering Department, University of Central Florida，Orlando, FL 32816, USA

Received date: 2004-10-10

Revised date: 2005-01-12

Online published: 2006-05-18

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Abstract

The reduction approaches are presented for vibration control of symmetric, cyclic periodic and linking structures. The condensation of generalized coordinates, the locations of sensors and actuators, and the relation between system inputs and control forces are assumed to be set in a symmetric way so that the control system posses the same repetition as the structure considered. By employing proper transformations of condensed generalized coordinates and the system inputs, the vibration control of an entire system can be implemented by carrying out the control of a number of sub-structures, and thus the dimension of the control problem can be significantly reduced.

Key words： vibration control of structures; repetitive structure; symmetric structure; cyclic periodic structure; linking structure

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CHEN Wei-min , SUN Dong-chang , WANG Da-jun , WEI Jian-ping , TONG Li-yong , WANG Quan . REDUCTION APPROACHES FOR VIBRATION CONTROL OF REPETITIVE STRUCTURES[J]. Applied Mathematics and Mechanics, 2006 , 27(5) : 637 -644 . DOI: 10.1007/s10483-006-0509-z

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