| Simulation of non-stationary ground motion processes(I) |
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| 作者姓名： | 梁建文 |
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| 作者单位： | Department of |
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| 基金项目： | National Natural Science Foundation of China (50378063) and Excellent Young Teachers Program of Ministry of Education. |
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| 摘 要： | Introduction Up to now,simulation of non-stationary ground motion processes in engineering usually is bygenerating stationary ground motion processes,then making them non-stationary by an enve-lope function(Amin and Ang,1968);and the envelope function is usually calculated based on sta-tistical analysis of ground motion records,and the stationary ground motion processes are simu-lated using filtering method,spectral representation method,or time domain method,etc.Because the envelope function …
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| 收稿时间： | 21 October 2003 |
| 修稿时间： | 8 May 2004 |
Simulation of non-stationary ground motion processes (I) |
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| Liang Jian-wen.Simulation of non-stationary ground motion processes(I)[J].Acta Seismologica Sinica(English Edition),2005,18(2):226-238. |
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| Authors: | Liang Jian-wen |
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| Institution: | Department of Civil Engineering, Tianjin University, Tianjin 300072, China |
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| Abstract: | This paper presents a spectral representation method for simulation of non-stationary ground motion processes on the basis
of Priestley’s evolutionary spectral theory. Following this method, sample processes can be generated using a cosine series
formula. It is shown that, these sample processes accurately reflect the prescribed characteristics of the evolutionary power
spectral density function when the number of the terms in the cosine series is large enough; and the ensemble expected value
and the ensemble autocorrelation function approach the corresponding target functions, respectively, as the sample size increases;
and these sample processes are asymptotically normal as the number of the terms in the series tends to infinity. Finally,
a few special cases of the formula are discussed, one of which is non-stationary white noise process, and other one is reduced
to the formula for simulation of stationary stochastic processes.
Foundation item: National Natural Science Foundation of China (50378063) and Excellent Young Teachers Program of Ministry of Education. |
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| Keywords: | non-stationary ground motion processes simulation spectral representation evolutionary |
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