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

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 Carl...

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Main Author: Yimin Zhang
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.3233/SAV-2010-0581
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spelling doaj-15f0eaf6d51a418886db28e5a3a44d962020-11-25T00:34:25ZengHindawi LimitedShock and Vibration1070-96221875-92032011-01-01181-238739610.3233/SAV-2010-0581Stochastic Responses of Multi-Degree-of-Freedom Uncertain Hysteretic SystemsYimin Zhang0School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110004, ChinaOn 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.http://dx.doi.org/10.3233/SAV-2010-0581
collection DOAJ
language English
format Article
sources DOAJ
author Yimin Zhang
spellingShingle Yimin Zhang
Stochastic Responses of Multi-Degree-of-Freedom Uncertain Hysteretic Systems
Shock and Vibration
author_facet Yimin Zhang
author_sort Yimin Zhang
title Stochastic Responses of Multi-Degree-of-Freedom Uncertain Hysteretic Systems
title_short Stochastic Responses of Multi-Degree-of-Freedom Uncertain Hysteretic Systems
title_full Stochastic Responses of Multi-Degree-of-Freedom Uncertain Hysteretic Systems
title_fullStr Stochastic Responses of Multi-Degree-of-Freedom Uncertain Hysteretic Systems
title_full_unstemmed Stochastic Responses of Multi-Degree-of-Freedom Uncertain Hysteretic Systems
title_sort stochastic responses of multi-degree-of-freedom uncertain hysteretic systems
publisher Hindawi Limited
series Shock and Vibration
issn 1070-9622
1875-9203
publishDate 2011-01-01
description 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.
url http://dx.doi.org/10.3233/SAV-2010-0581
work_keys_str_mv AT yiminzhang stochasticresponsesofmultidegreeoffreedomuncertainhystereticsystems
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