摘要
为建立简便可行的系统特征值随机特性分析方法,该文基于多体系统传递矩阵法,建立了系统固有频率与随机参数的关系方程,推导了随机参数多体系统特征值特性分析的3种方法:解析法、随机摄动法和Monte Carlo法,利用此3种方法可以较准确地分析随机参数引起的系统固有频率的随机特性,计算固有频率的期望、标准差和其相对结构参数的敏感度;通过对比分析,得出3种方法的优劣:解析方法精度高、计算量最小,随机摄动法计算方法简单,但精度较低,Monte Carlo法最精确,但计算量最大。
Based on the transfer matrix method of multibody system, the relationship equation between natural frequency and random parameters is developed in order to establish practicable analysis methods of random eigenvalue. The three methods of analytics method, perturbation method and Monte Carlo method are presented to analyze the system eigenvalue. The stochastic characteristic of natural frequency of system with random parameters is studied. The mathematical expectation and the variance of the system eigenvalue and the sensitivity to structure parameters are presented. By comparing the three methods, this paper concludes that the analytical method has more precision and less computation, the stochastic perturbation method is convenient and less precise, the Monte Carlo method has most precision and computation time.
出处
《南京理工大学学报》
EI
CAS
CSCD
北大核心
2006年第4期458-461,共4页
Journal of Nanjing University of Science and Technology
基金
国防重点预研项目
关键词
多体系统
传递矩阵法
随机参数
期望
方差
transfer matrix method
random parameters
mathematical expectation
variance
