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| Probability density evolution analysis of nonlinear dynamical systems |
| Received:August 28, 2008 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20093005 |
| KeyWord:Stochastic dynamical system nonlinear probability density evolution principle of preservation of probability orthogonal decomposition |
| Author | Institution |
| 陈建兵 |
同济大学土木工程学院 土木工程防灾国家重点实验室,上海 |
| 刘章军 |
同济大学土木工程学院 土木工程防灾国家重点实验室,上海;三峡大学 土木水电学院,宜昌 |
| 李杰 |
同济大学土木工程学院 土木工程防灾国家重点实验室,上海 |
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| Abstract: |
| The basic idea of stochastic response analysis of multi-degree-of-freedom nonlinear structures is outlined. Employing the orthogonal decomposition or physical modeling, the stochastic excitation can be represented by random combination of a set of deterministic functions. The probability density evolution theory can then be applied to the resulted stochastic dynamical system and the instantaneous probability density function and its evolution can thus be obtained. Stochastic response analysis of a shear frame subjected to random ground motions is exemplified, showing the feasibility and validity of the proposed method. |
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