Stochastic Responses of Multi-Degree-of-Freedom Uncertain Hysteretic Systems | Zendy

Yimin Zhang | Zendy

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Stochastic Responses of Multi-Degree-of-Freedom Uncertain Hysteretic Systems

Author(s) -

Yimin Zhang

Publication year - 2011

Publication title -

shock and vibration

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.418

H-Index - 45

eISSN - 1875-9203

pISSN - 1070-9622

DOI - 10.1155/2011/189702

Subject(s) - monte carlo method , nonlinear system , moment (physics) , random vibration , degree (music) , vibration , control theory (sociology) , stochastic process , mathematics , basis (linear algebra) , computer science , physics , statistics , classical mechanics , geometry , control (management) , quantum mechanics , artificial intelligence , acoustics

On the basis of the Bouc-Wen hysteretic model, the effective numerical method for the response of nonlinear multi-degree-of-freedom (MDOF) stochastic hysteretic systems is presented using second moment method. Using this method, the mean values, variances and covariances are computed. The Monte Carlo simulation is applied to validate the method. The results obtained by the two methods are contrasted, and the solutions of the method in this paper agreed very well with the Monte Carlo simulation. It has solved the random response of nonlinear stochastic vibration systems which is caused by the stochastic hysteretic loop itself.

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