| Analyzing Nonstationary Random Response of a SDOF System under the Evolutionary Random Excitation by Wavelet Transform |
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| 引用本文： | 李方兵 张天舒. Analyzing Nonstationary Random Response of a SDOF System under the Evolutionary Random Excitation by Wavelet Transform[J]. 东华大学学报(英文版), 2006, 23(4): 94-97 |
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| 作者姓名： | 李方兵 张天舒 |
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| 作者单位： | College of Sciences, Donghua University, Shanghai 201620 |
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| 摘 要： | For evolutionary random excitations, a general method of analyzing nonstationary random responses of systems was presented in this paper. Firstly, for the evolutionary random excitation model, the evolutionary power spectrum density function （EPSD） of a random excitation was given by wavelet transform. Based on the EPSD, the nonstationary responses of a SDOF system subjected to evolutionary random excitations were studied. The application and validity of presented method were illustrated by numerical examples. In numerical examples, the recently developed stochastic models for El Centro （1934） and Mexico City （1985） earthquakes which preserve the nonstationary evolutions of amplitude and frequency content of ground accelerations were used as excitations. The nonstationary random mean-square responses of a SDOF system under these two excitations were evaluated and compared with simulated results.
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| 关 键 词： | 微波转换 SODF 双线性单自由度体系 稳态反应 强迫动力响应 |
| 收稿时间： | 2005-11-29 |
Analyzing Nonstationary Random Response of a SDOF System under the Evolutionary Random Excitation by Wavelet Transform |
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| LI Fang-bing,ZHANG Tian-shu. Analyzing Nonstationary Random Response of a SDOF System under the Evolutionary Random Excitation by Wavelet Transform[J]. Journal of Donghua University, 2006, 23(4): 94-97 |
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| Authors: | LI Fang-bing ZHANG Tian-shu |
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| Abstract: | For evolutionary random excitations, a general method of analyzing nonstationary random responses of systems was presented in this paper. Firstly, for the evolutionary random excitation model, the evolutionary power spectrum density function (EPSD) of a random excitation was given by wavelet transform. Based on the EPSD, the nonstationary responses of a SDOF system subjected to evolutionary random excitations were studied. The application and validity of presented method were illustrated by numerical examples. In numerical examples, the recently developed stochastic models for EI Centro (1934) and Mexico City (1985) earthquakes which preserve the nonstationary evolutions of amplitude and frequency content of ground accelerations were used as excitations. The nonstationary random mean-square responses of a SDOF system under these two excitations were evaluated and compared with simulated results. |
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| Keywords: | evolutionary random excitation wavelet transform nonstationary random response |
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