地震动过程的时域降维建模  

Time-domain dimension-reduction modeling of ground motion processes

作　　者：阮鑫鑫 刘章军 姜云木 RUAN Xinxin;LIU Zhangjun;JIANG Yunmu(College of Architecture and Civil Engineering,Xinyang Normal University,Xinyang 464000,China;School of Civil Engineering and Architecture,Wuhan Institute of Technology,Wuhan 430074,China)

机构地区：[1]信阳师范大学建筑与土木工程学院,河南信阳464000 [2]武汉工程大学土木工程与建筑学院,武汉430074

出　　处：《振动与冲击》2024年第6期311-319,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金(51978543;51778343);湖北省高等学校优秀中青年科技创新团队计划(T2020010)。

摘　　要：地震动建模是工程结构随机地震反应和动力可靠度分析的基础。为此,提出了一类新的地震动过程的时域降维模型,并建议了模型中确定性参数的取值及随机参数的概率分布。首先,从平稳过程时域表达的基本理论出发,导出了平稳和非平稳地震动过程的时域表达形式,通过引入随机函数的降维思想,实现了地震动过程的时域降维表达。同时,基于实测强震记录,给出了地震动时域降维模型的参数识别方法,进而获得模型中基本参数的确定性取值或概率分布。最后,通过地震动过程的降维模拟分析,并与实测强震记录的反应谱和傅里叶幅值谱对比分析。结果表明,地震动过程的时域降维模型具有良好的精度、收敛性和工程适用性,生成的代表性地震动时程能够反映地震动的自然变异性。Modeling of ground motions is the basis of stochastic seismic response and dynamic reliability analysis of engineering structures.To this end,a new time-domain dimension-reduction model of ground motion processes was proposed,and the values of deterministic parameters and the probability distribution of random parameters in the model were suggested.Based on the basic theory of time-domain representation of stationary process,the time-domain representation forms of stationary and non-stationary ground motion processes were derived.By introducing the idea of dimension reduction of random functions,the time-domain dimension-reduction representation of ground motion processes was realized.Meanwhile,based on the measured strong motion records,the parameter identification method of the time-domain dimension-reduction model of ground motions was proposed and then the deterministic values and probability distributions of the basic parameters in the model were obtained.Finally,the dimension-reduction simulation analysis of some ground motion processes was carried out and the results were compared with the response spectrum and Fourier amplitude spectrum of the measured strong motion records.The results show that the time-domain dimension-reduction model of ground motion processes has good accuracy,convergence and engineering applicability,and the representative ground motion time history generated can reflect the natural variability of ground motions.

关 键 词：非平稳地震动 时域表达 降维建模 参数识别 自然变异性 

分 类 号：P315.9[天文地球—地震学]