摘要
首先介绍了复模态理论,然后利用线性阻尼离散系统的自由振动微分方程的左右特征向量,推导出状态矩阵与振动系统的左右特征向量之间的关系。最后根据状态矩阵的左右特征向量系的正交性,对给出的状态矩阵进行对角化。从而实现振动微分方程的降阶与解耦。
At first,the method of complex mode is introduced in this paper.Then the connection of left and right eigenvector and state matrix is deduced by using left and right eigenvector of free vibration differential equation in linear damped discrete system.State matrix is diagonalized according to the orthonormality of left and right eigenvector series about the state matrix.Then the order of vibration differential equation is reduced,and the vibration differential equation is decoupled.
出处
《长春工程学院学报（自然科学版）》
2008年第1期84-86,共3页
Journal of Changchun Institute of Technology：Natural Sciences Edition
关键词
复模态
状态矩阵
特征向量系
状态空间
complex mode
state matrix
eigenvector series
state space
