LINEAR ACTIVE STRUCTURES AND MODES (Ⅱ) —DISCRETE SYSTEMS AND BEAMS  

作　　者：王永刚 龚靖School of Civil Engineering and Mechanics Xi'an Jiaotong University Xi'an 710049 P.R.China Department of Civil Engineering Northeast China Institute of Electric Power Jilin 132012 P.R.China 张景绘School of Civil Engineering and Mechanics Xi'an Jiaotong University Xi'an 710049 P.R.China 

机构地区：[1]School of Civil Engineering and Mechanics,Xi'an Jiaotong University, Xi'an 710049, P.R.China,School of Science, Chang'an University, Xi'an 710064, P.R.China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2004年第8期854-862,共9页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina (1 0 2 72 0 87) ;theAssociat edFoundationoftheNationalNaturalScienceFoundationCommitteeofChinaandtheAcademyofEngineeringPhysicsofChina (1 0 1 760 42 )

摘　　要：The basic concepts about the active structures and some attributes of the modes were presented in paper “Liner Active Structures and Modes]( I) ". The characteristics of the active discrete systems and active beams were discussed, especially, the stability of the active structures and the orthogonality of the eigenvectors. The notes about modes were portrayed by a model of a seven-storeyed building with sensors and actuators. The concept of the adjoint active structure was extended from the discrete systems to the beams that were the representations of the continuous structures. Two types of beams with different placements of the measuring and actuating systems were discussed in detail. One is the beam with the discrete sensors and actuators, and the other is the beam with distributed sensor and actuator function. The orthogonality conditions were derived with the modal shapes of the active beam and its adjoint active beam. An example shows that the variation of eigenvalues with feedback amplitude for the homo-configuration and non-homo-configuration active structures.The basic concepts about the active structures and some attributes of the modes were presented in paper “Liner Active Structures and Modes]( I) ". The characteristics of the active discrete systems and active beams were discussed, especially, the stability of the active structures and the orthogonality of the eigenvectors. The notes about modes were portrayed by a model of a seven-storeyed building with sensors and actuators. The concept of the adjoint active structure was extended from the discrete systems to the beams that were the representations of the continuous structures. Two types of beams with different placements of the measuring and actuating systems were discussed in detail. One is the beam with the discrete sensors and actuators, and the other is the beam with distributed sensor and actuator function. The orthogonality conditions were derived with the modal shapes of the active beam and its adjoint active beam. An example shows that the variation of eigenvalues with feedback amplitude for the homo-configuration and non-homo-configuration active structures.

关 键 词：I) ". The characteristics of the active discrete systems and active beams were discussed especially the stability of the active structures and the orthogonality of the eigenvectors. The notes about modes were portrayed by a model of a seven-s 

分 类 号：TU311[建筑科学—结构工程]