Stationary random response of dynamical systems with random uncertainties
Received:April 19, 2007  
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DOI:10.7511/jslx20092010
KeyWord:nonparametric probabilistic model  random matrix  random vibration  pseudo excitation method
        
AuthorInstitution
赵岩 大连理工大学 运载工程与力学学部,大连 ;重庆交通科研设计院, 重庆
张亚辉 大连理工大学 运载工程与力学学部,大连
林家浩 大连理工大学 运载工程与力学学部,大连
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Abstract:
      Due to the uncertainties taking place in designs, constructions and measures, general finite element models are no more than approximations to original structures, and the random structural models are more reasonable. In this paper, the random uncertainties of the mass, damping and stiffness matrices in the finite element model are modeled by random matrices, and a high efficiency pseudo excitation method for the dynamic responses analysis of the nonparametric probability system subjected to stationary random load is developed. A numerical example shows that the dynamic responses of the conventional (mean) finite element model are quite different from those based on the random matrix model. For precise manufacture, the uncertainties of models can not be ignored and the proposed method is quite useful in the analysis of such problems.