地震学报(英文版)2005,Vol.18Issue(2):226-238,13.
Simulation of non-stationary ground motion processes (I)
Simulation of non-stationary ground motion processes (I)
摘要
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.关键词
non-stationary ground motion processes/simulation/spectral representation/evolutionary power spectrumKey words
non-stationary ground motion processes/simulation/spectral representation/evolutionary power spectrum分类
天文与地球科学引用本文复制引用
LIANG Jian-wen..Simulation of non-stationary ground motion processes (I)[J].地震学报(英文版),2005,18(2):226-238,13.基金项目
National Natural Science Foundation of China (50378063) and Excellent Young Teachers Program of Ministry of Education. (50378063)