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《Journal of Vibration Engineering》 2004-02
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Application of Sobol' Method to Sensitivity Analysis of a Non-Linear Passive Vibration Isolators

Yu Dejie Li Rui (College of Mechanical and Automotive Engineering, Hunan University Changsha, 410082)  
A global sensitivity analysis method based on variance——Sobol' method is introduced for the analysis of structural dynamics. The main idea behind the Sobol' method is to decompose the model function f(x) into summands of increasing dimensionality using integrals.After sampling parameters the total variance and partial variances are obtained, then sensitivities are determuned. Compared with the local sensitivity analysis approaches, which are widely used in structural dynamics, it has the following features: (1) It can incorporate the influence of the whole range of variation and the form of the probability density function of the input parameters; (2) It can evaluate the effect of one parameter while all other parameters are varying as well. The first and total sensitivity of a nonlinear vibration isolator with linear damping and cubic stiffness is carried out by Sobol' method, and the fourth Ronge-Kutta numerical method is used to testify the results. The laws of the influence of damping and soft spring or rigid spring to the transmissibility are obtained. The results can be used in the optimal design of nonlinear vibration isolators.
【Fund】: 教育部留学回国人员科研启动基金资助项目 (编号 :教外司留 2 0 0 2 - 2 4 7)
【CateGory Index】: O327
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