摘要
提出了一种分析链式结构非线性系统动力响应和稳定性的数值计算法.它采用新的传递向量{f^T|e^T,1)={f^T|e^(*T)}和新的变换f=s~*e~*,简化了Riccati传递矩阵法并将其扩展用于分析链式结构非线性系统的动力响应和稳定性上,同时改进了Riccati传递矩阵法的数值稳定性.文中就一非线性转子系统,分别用本法和Runge-kutta法做了编程计算.通过两算法结果的比较,验证了本文方法的有效性和稳定性等多种优点.特别是,应用本法可在一般微机上分析较大型链式结构非线性系统的动力响应和稳定性.
This paper proposes a numerical method for the transient response of chain nonlinear system, which employs a new transfer vector and a newtransform to simplify Riccati transfer matrix method (RTMM) that is applied to the transient response of chain nonlinear systems. The method improves the numerical stabilities of RTMM. In the paper, theoretic derivation and computing example are given. The obtained results verify that this method is efficacious and stable, and has many advantages.
出处
《西安工业学院学报》
1992年第4期26-33,共8页
Journal of Xi'an Institute of Technology
关键词
非线性系统
链式结构
动力响应
nonlinear systems
response analysis
stability
chain structure
Riccati transfer matrix method
