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Dimension-reduction representation of seismic ground motion using filtered white noise model in time domain
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Zhang-jun LIU1, Ying-fei FAN1, Yun-mu Jiang1, Xin-xin Ruan1, Zi-xin Liu2
Journal of Vibration Engineering | 2024, 37(9) : 1493 - 1500
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Journal of Vibration Engineering | 2024, 37(9): 1493-1500
Dimension-reduction representation of seismic ground motion using filtered white noise model in time domain
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Zhang-jun LIU1, Ying-fei FAN1, Yun-mu Jiang1, Xin-xin Ruan1, Zi-xin Liu2
Affiliations
  • 1School of Civil Engineering and Architecture，Wuhan Institute of Technology，Wuhan 430074，China
  • 2Key Laboratory of Building Collapse Mechanism and Disaster Prevention，Institute of Disaster Prevention，China Earthquake Administration，Sanhe 065201，China
Published: 2024-09-28 doi: 10.16385/j.cnki.issn.1004-4523.2024.09.006
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There are two kinds of stochastic seismic ground motion simulation methods： frequency-domain methods and time-domain methods. Based on the time-domain model of single filtered white noise，this paper proposes the time-domain representation for simulating stationary and non-stationary seismic ground motion processes. In essence，the time-domain representation can be regarded as linear superposition of deterministic functions modulated by a series of standard orthogonal random variables，and the set of orthogonal random variables is defined as the form of random orthogonal functions to achieve efficient dimension-reduction. Therefore，by introducing three kinds of random orthogonal functions，i.e.，Legendre orthogonal polynomial of non-Gaussian type，Hartley orthogonal basis and Hartley orthogonal elementary of Gaussian type，the acceleration process of seismic ground motion can be accurately represented in the time-domain model with only one elementary random variable. Numerical examples of seismic stationary ground motion process show the effectiveness of the proposed method，which is superior to the Monte Carlo method. The analysis of fully nonstationary seismic ground motion shows the engineering applicability of the proposed method.

ground motion process  /  time domain representation  /  filtered white noise model  /  dimension-reduction simulation
Zhang-jun LIU, Ying-fei FAN, Yun-mu Jiang, Xin-xin Ruan, Zi-xin Liu. Dimension-reduction representation of seismic ground motion using filtered white noise model in time domain[J]. Journal of Vibration Engineering, 2024 , 37 (9) : 1493 -1500 . DOI: 10.16385/j.cnki.issn.1004-4523.2024.09.006
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doi: 10.16385/j.cnki.issn.1004-4523.2024.09.006
  • Receive Date：2022-09-16
  • Online Date：2026-02-12
  • Published：2024-09-28
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  • Received：2022-09-16
  • Revised：2022-12-22
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Affiliations
    1School of Civil Engineering and Architecture，Wuhan Institute of Technology，Wuhan 430074，China
    2Key Laboratory of Building Collapse Mechanism and Disaster Prevention，Institute of Disaster Prevention，China Earthquake Administration，Sanhe 065201，China
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