整体传递矩阵法的Riccati变换  

Riccati transformation in whole transfer matrix method

作　　者：柴山[1] 刚宪约[2] 姚福生[1] 曲庆文[3] 赵又群[3] 

机构地区：[1]上海理工大学动力工程学院,上海200093 [2]大连理工大学工程力学系,大连116023 [3]山东工程学院科学技术研究院,淄博255012

出　　处：《上海理工大学学报》2002年第2期98-103,共6页Journal of University of Shanghai For Science and Technology

基　　金：国家自然科学基金资助项目(19990510); 国家攀登计划预研项目(PD9521900)

摘　　要：研究了多转子系统的Riccati变换问题,导出了多转子系统各种具体单元的Riccati变换公式以及Riccati变换中逆矩阵的计算公式,给出了数值算例. 研究表明,尽管整体传递矩阵取系统的状态向量作为传递向量,增加了自由度,但计算工作量基本上没有增加.The problem of Riccati transformation for multi-rotor system is studied in the paper. The formula of Riccatti transformation for different kinds of elements and the computational formula for inverse matrix in Riccati transformation are derived, and a numerical example is given. The study shows that although the whole matrix method needs more degrees of freedom for computation, yet the computational efforts do almost not increase because of taking the systematical state vector as transfer vector.

关 键 词：多转子系统 整体传递矩阵 临界转速 转子动力学 

分 类 号：O325[理学—一般力学与力学基础]