地震动过程的时域降维建模

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振动与冲击 ›› 2024, Vol. 43 ›› Issue (6) : 311-319.

论文

地震动过程的时域降维建模

阮鑫鑫1,2，刘章军2，姜云木2

作者信息 +

Time-domain dimension-reduction modeling of ground motion processes

RUAN Xinxin1,2， LIU Zhangjun2， JIANG Yunmu2

Author information +

文章历史 +

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。

Abstract

Modeling of ground motion 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 process was proposed, and the values of deterministic parameters and the probability distribution of random parameters in the model were suggested. Firstly, based on the basic theory of time-domain representation of stationary process, time-domain representation forms of stationary and non-stationary ground motion processes were derived. By introducing the idea of dimension reduction of random functions, 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 motion was given, and then the deterministic values or probability distributions of the basic parameters in the model were obtained. Finally, the dimension-reduction simulation analysis of the ground motion process was carried out and 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 process has good accuracy, convergence and engineering applicability, and the representative ground motion time history generated can reflect the natural variability of ground motion.

导出引用

阮鑫鑫1,2，刘章军2，姜云木2. 地震动过程的时域降维建模[J]. 振动与冲击, 2024, 43(6): 311-319

RUAN Xinxin1,2， LIU Zhangjun2， JIANG Yunmu2. Time-domain dimension-reduction modeling of ground motion processes[J]. Journal of Vibration and Shock, 2024, 43(6): 311-319

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