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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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.3233/SAV-2010-0581 |
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| author | Yimin Zhang |
| author_facet | Yimin Zhang |
| author_sort | Yimin Zhang |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-15f0eaf6d51a418886db28e5a3a44d96 |
| institution | OA Journals |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-15f0eaf6d51a418886db28e5a3a44d962025-08-20T02:02:43ZengWileyShock 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 |
| spellingShingle | Yimin Zhang Stochastic Responses of Multi-Degree-of-Freedom Uncertain Hysteretic Systems Shock and Vibration |
| title | 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_short | Stochastic Responses of Multi-Degree-of-Freedom Uncertain Hysteretic Systems |
| title_sort | stochastic responses of multi degree of freedom uncertain hysteretic systems |
| url | http://dx.doi.org/10.3233/SAV-2010-0581 |
| work_keys_str_mv | AT yiminzhang stochasticresponsesofmultidegreeoffreedomuncertainhystereticsystems |