REDUCTION APPROACHES FOR VIBRATION CONTROL OF REPETITIVE STRUCTURES  

作　　者：陈伟民 孙东昌 王大钧 魏建萍 仝力勇 王泉 

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

出　　处：《Applied Mathematics and Mechanics(English Edition)》2006年第5期637-644,共8页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.60034010) the Australia Research Council Discovery-Projects Grant (No.DP0210716)

摘　　要：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.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.

关 键 词：vibration control of structures repetitive structure symmetric structure cyclic periodic structure linking structure 

分 类 号：O32[理学—一般力学与力学基础]