频域内振动传递路径系统的参数灵敏度

Parametric sensitivity of vibration transfer path system in frequency domain

建立了具有路径质量的振动传递路径系统模型,探讨了系统振源、传递路径、接受体三部分的交互影响关系.运用矩阵微分理论并与振动力学理论相结合,对频域内振动传递路径系统的参数灵敏度进行了讨论,获得了接受体频域动力学响应对路径参数的灵敏度分析结果,解决了路径参数对系统接受体频域响应贡献量的度量问题.当系统路径参数较多时,该方法能迅速准确地判断出主要影响参数,约束优化设计方向,简化振动传递路径系统的动态设计过程.通过算例表明,这一方法切实可行,为频域内振动传递路径系统的参数贡献度分析提供了理论基础.

By establishing the vibration transfer path system model with path mass,the interrelationship of system vibration source,transfer path and receiver is investigated.Afterwards,the parametric sensitivity of vibration transfer path system in frequency domain is discussed integrating the matrix calculus with vibration mechanics.Subsequently,the sensitivity analysis results from the receiver frequency dynamical responses on path parameters are obtained. Meanwhile,the contribution measurement on path parameters to system receiver frequency responses is resolved.In case of intensive path parameters,the main parameters can be accurately yet rapidly detected to instruct the optimal design and simplify the dynamic design process for vibration transfer path system.Consequently,it is indicated from computational examples that the proposed method is feasible to pave a venue for parametric contribution analysis.