具有随机路径的振动传递路径系统的随机响应分析

基于一般概率摄动有限元法,解决了具有随机路径的振动传递路径系统的响应分析问题.应用Kronecker代数,矩阵微分理论,向量值和矩阵值函数的二阶矩技术,矩阵摄动理论和概率统计方法,提出了振动传递路径系统的随机响应分析方法,在考虑工程中的不确定因素以后,在时域内清晰地描述了振动传递路径的随机响应.

Random response analysis of vibration transfer path systems with uncertain paths

Based on the generalized probabilistic perturbation finite element method,the responses of vibration transfer path systems with uncertain paths is solved.The effective approach for response analysis of vibration transfer paths are presented using the Kronecker algebra,the matrix calculus,the generalized second moment method,the matrix perturbation theory,the probability and statistics.The random responses of multiple and/or multi-dimensional paths are described correctly and expressed in time range as uncertain factors are considered.