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| LINEAR ACTIVE STRUCTURES AND MODES （ Ⅰ ） — BASIC CONCEPTS AND PROPERTIES | |
| 引用本文： | 张景绘 龚靖 王永刚. LINEAR ACTIVE STRUCTURES AND MODES （ Ⅰ ） — BASIC CONCEPTS AND PROPERTIES[J]. 应用数学和力学(英文版), 2004, 25(8): 845-853. DOI: 10.1007/BF02438790 |
| 作者姓名： | 张景绘 龚靖 王永刚 |
| 作者单位： | [1]SchoolofCivilEngineeringandMechanics,Xi＇anJiaotongUniversity,Xi＇an710049,P.R.China [2]DepartmentofCivilEngineering,NortheastChinaInstituteofElectricPower,Jilin132012,P.R.China [3]SchoolofScience,Chang＇anUniversity,Xi＇an710064,P.R.China |
| 摘 要： | Some basic concepts about the active structures were firstly explained, and the main subjects to study in the field of active structure dynamics were synthesized. For the linear active structures, the annotations on the modes were done in detail. The physical meanings of the right and left eigenvectors were explained. The right eigenvectors are the modal shapes and the modal responses of an active structure depend on the left ones. The adjoint structure of an active structure was defined and the reciprocity theorem was interpreted. For two active structures, which are adjoint to each other and with the reciprocal gain-matrices, the right and left eigenvector are reciprocal The relationship between an active structure and the corresponding passive structure is expressed with the transfer functions, which is employed to resolve the estimation problems. |
| 关 键 词： | 线性主动结构 振动控制 经典结构动力学 智能结构 伴随矩阵 |
| 收稿时间： | 2002-11-01 |
Linear active structures and modes (I) —Basic concepts and properties |
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| Zhang Jing-hui,Gong Jing,Wang Yong-gang. Linear active structures and modes (I) —Basic concepts and properties[J]. Applied Mathematics and Mechanics(English Edition), 2004, 25(8): 845-853. DOI: 10.1007/BF02438790 | |
| Authors: | Zhang Jing-hui Gong Jing Wang Yong-gang |
| Affiliation: | (1) School of Civil Engineering and Mechanics, Xi’an Jiaotong University, 710049 Xi’an, P. R. China;(2) School of Science, Chang’an University, 710064 Xi’an, P. R. China;(3) Department of Civil Engineering, Northeast China Institute of Electric Power, 132012 Jilin, P. R. China |
| Abstract: | Some basic concepts about the active structures were firstly explained, and the main subjects to study in the field of active structure dynamics were synthesized. For the linear active structures, the annotations on the modes were done in detail. The physical meanings of the right and left eigenvectors were explained. The right eigenvectors are the modal shapes and the modal responses of an active structure depend on the left ones. The adjoint structure of an active structure was defined and the reciprocity theorem was interpreted. For two active structures, which are adjoint to each other and with the reciprocal gain-matrices, the right and left eigenvector are reciprocal. The relationship between an active structure and the corresponding passive structure is expressed with the transfer functions, which is employed to resolve the estimation problems. Foundation items: the National Natural Science Foundation of China (10272087); the Associated Foundation of the National Natural Science Foundation Committee of China and the Academy of Engineering Physics of China (10176042). Biography: ZHANG Jing-hui (1939 ≈) |
| Keywords: | active structure vibration control smart structure mode |
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