基于频响函数综合的舱筏隔振系统灵敏度分析和优化

Design sensitivity analysis and optimization of a floating raft system using a FRF-based substructuring method

利用频响函数综合方法,推导了浮筏隔振系统连接点的位移,给出基座上的力和输入到基座的功率流对浮筏隔振系统的上、下层隔振器的刚度和阻尼的设计灵敏度表达式,并分别以最小化某一频段内输入到基座的功率流和传递到基座的力的均方值为优化目标,结合灵敏度分析方法,对上、下层隔振器的刚度进行了优化。优化结果表明,基于子结构灵敏度分析的方法是一种有效的优化方法,以最小化传递到基座的力的均方值为优化目标得到的隔振器的最优刚度不能同时使输入到基座的功率流有很大的衰减。

A general method for design sensitivity analysis of forces and power flow of base in a typical floating raft system was presented using a FRF-based substructuring formulation.The proposed method gave an expression of design sensitivity in terms of partial derivatives of physical parameters of upper and lower isolators as well as transfer functions of substructures.An optimization scheme involving the derived sensitivity formula was used to obtain optimal physical parameters of isolators of the floating raft system to minimize the mean-square forces transmitted to the base and the time-averaged power flows to the base,respectively.The simulation results demonstrated that the proposed method is efficient and accurate,and minimization of force transmissibility does not certainly provide a minimum power flow.