振动传递路径系统的传递可靠性灵敏度

基于Kronecker代数、矩阵微分理论、向量值、矩阵值函数的二阶矩技术及随机有限元方法,实用有效地提出了具有随机路径的振动传递路径系统的传递可靠性及可靠度灵敏度的分析方法.在考虑传递路径参数,包括质量、刚度、位置参数不确定性的条件下,对振动传递路径系统的传递可靠性和可靠度、灵敏度进行了理论分析和数值计算,给出了随机振动传递路径系统传递可靠度及可靠性灵敏度的一般数学表达式,据此可以考虑工程实际中大量的传递系统中固有的不确定性,为解决不确定振动传递路径系统的问题提供有效方便的途径,为其结构的动力修改提供理论基础.

Reliability sensitivity of vibration transfer path systems

The Kronecker algebra,the matrix calculus,the generalized second moment technique of vector-valued functions and matrix-valued functions,and the stochastic finite element theory were the basis of this journal.The effective approach for the transfer reliability and reliability sensitivity for vibration transfer path systems was presented,and the transfer reliability and reliability sensitivity of the vibration transfer path systems with uncertain paths,which included mass,stiffness and position,were analyzed theoretically and computed numerically,and the correlated mathematical expressions were obtained.Thus,in practical project,the most uncertain factors in vibration transfer systems can be considered so as to give the effective way for solving the vibration transfer path systems with uncertain factors,which provide the theoretical foundation for the dynamic design of vibration systems.