Augmented Eigenvector and Its Orthogonality of Linear Multi-rigid-flexibel-body System  

作　　者：芮筱亭 贠来峰 王国平 陆毓琪 

机构地区：[1]Nanjing University of Science and Technology

出　　处：《Defence Technology（防务技术）》2008年第2期100-105,共6页Defence Technology

摘　　要：The orthogonality of eigenvector is a precondition to compute the dynamic responses of linear multi-rigid-flexible-body system using the classical modal analysis method. For a linear multi-rigid-flexible-body system, the eigenfunction does not satisfy the orthogonality under ordinary meaning. A new concept--augmented eigenvector is introduced, which is used to overcome the orthogonality problem of eigenvectors of linear multi-rigid-flexible-body system. The constitution method and the orthogonality of augmented eigenvector are expatiated. After the orthogonality of augmented eigenvector is acquired, the coupling of coordinates in dynamics equations can be released, which makes it possible to analyze exactly the dynamic responses of linear multi-rigid-flexible-body system using the classical modal analysis method.The orthogonality of eigenvector is a precondition to compute the dynamic responses of linear multi-rigid-flexi- ble-body system using the classical modal analysis method. For a linear multi-rigid-flexible-body system, the eigenfunction does not satisfy the orthogonality under ordinary meaning. A new concept augmented eigenvector is introduced, which is used to overcome the orthogonality problem of eigenvectors of linear multi-rigid-flexible-body system. The constitution method and the orthogonality of augmented eigenvector are expatiated. After the orthogonality of augmented eigenvector is acquired, the coupling of coordinates in dynamics equations can be released, which makes it possible to analyze exactly the dynamic responses of linear multi-rigid-flexible-body system using the classical modal analysis method.

关 键 词：振动波 正交性 特征向量 动力学 

分 类 号：TP11[自动化与计算机技术—控制理论与控制工程]