| PATH INTEGRAL SOLUTION OF NONLINEAR DYNAMIC BEHAVIOR OF STRUCTURE UNDER WIND EXCITATION |
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| 作者姓名： | 王仲刚 程华 邓洪洲 |
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| 作者单位： | Department of Civil Engineering，Logistical Engineering University，Chongqing 400041，P.R.China，Department of Civil Engineering，Logistical Engineering University，Chongqing 400041，P.R.China，Department of Building Engineering，Tongji University，Shanghai 200092，P.R.China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （No. 50178052） and the Natural Science Foundation of Chongqing of China （ No. 7422） |
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| 摘 要： | IntroductionThe dynamic behavior of the nonlinear structure under wind excitation has beenobserved very complicated.Taking guyed masts as an example,only a few collapsingaccidents occurred under extreme atmospheric conditions1],many took place under mild…
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| 关 键 词： | 非线性动态响应 统计分布 积分函数 随机微分方程 |
| 文章编号： | 0253-4827（2005）10-1303-09 |
| 收稿时间： | 2003-09-23 |
| 修稿时间： | 2005-05-27 |
Path integral solution of nonlinear dynamic behavior of structure under wind excitation |
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| Zhong-gang Wang,Hua Cheng,Hong-zhou Deng.PATH INTEGRAL SOLUTION OF NONLINEAR DYNAMIC BEHAVIOR OF STRUCTURE UNDER WIND EXCITATION[J].Applied Mathematics and Mechanics(English Edition),2005,26(10):1303-1311. |
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| Authors: | Zhong-gang Wang Hua Cheng Hong-zhou Deng |
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| Affiliation: | 1. Department of Civil Engineering, Logis tical Engineering University, Chongqing 400041, P. R. China
2. Department of Building Engineering, Tongji University, Shanghai 200092, P. R. China |
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| Abstract: | A numerical scheme for the nonlinear behavior of structure under wind excitation is investigated. With the white noise filter
of turbulent-wind fluctuations, the nonlinear motion equation of structures subjected to wind load was modeled as the Ito’s
stochastic differential equation. The state vector associated with such a model is a diffusion process. A continuous linearization
strategy in the time-domain was adopted. Based on the solution series of its stochastic linearization equations, the formal
probabilistic density of the structure response was developed by the path integral technique. It is shown by the numerical
example of a guyed mast that compared with the frequency-domain method and the time-domain nonlinear analysis, the proposed
approach is highlighted by high accuracy and effectiveness. The influence of the structure non-linearity on the dynamic reliability
assessment is also analyzed in the example. |
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| Keywords: | nonlinear dynamic response wind load path integral solution white noise joint statistical distribution |
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