This article analyzes the process to design hybrid vibration isolation system on flexible foundation. The dynamic model of a hybrid vibration isolation system on flexible foundation is build and the character of power flow transmission is analyzed by sub-system structure impedance synthesis technique and four poles parameter method. The global sensitivity analysis with the Sobol’ method is used to study the global sensitivity behavior of the hybrid vibration isolation system. The multi-objective optimization design method of hybrid vibration isolation system is studied and the mathematic optimization model has been built. Gene algorithm has been used to solve the global optimization problem, and the numerical simulation is carried out.

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