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Volume 43 Issue 9
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WANG Zhi-yu, TANG Zhen-yun, DU Xiu-li. Parameter identification method of time-domain stable discrete rational approximation for frequency response of foundations[J]. Chinese Journal of Geotechnical Engineering, 2021, 43(9): 1708-1714. DOI: 10.11779/CJGE202109016
Citation: WANG Zhi-yu, TANG Zhen-yun, DU Xiu-li. Parameter identification method of time-domain stable discrete rational approximation for frequency response of foundations[J]. Chinese Journal of Geotechnical Engineering, 2021, 43(9): 1708-1714. DOI: 10.11779/CJGE202109016
shu

Parameter identification method of time-domain stable discrete rational approximation for frequency response of foundations

  • 1.

    The Key Laboratory of Urban Security and Disaster Engineering of Ministry of Education, Beijing University of Technology, Beijing 100124, China

  • 2.

    Key Laboratory of Earthquake Engineering and Engineering Vibration, Institute of Engineering Mechanics, China Earthquake Administration, Harbin 150080, China

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  • Received Date: November 30, 2020
  • Available Online: December 02, 2022
    Graphical Abstract
    • Abstract
  • The discrete-time rational approximation function is one of the important methods for establishing dynamic analysis model for foundations. The stability and accuracy of the rational function determine those of dynamic time history analysis. At present, the researches on the discrete-time rational approximation function mainly focus on the establishment of time-domain analysis model, but they cannot guarantee the stability, accuracy and calculation efficiency of the identification function at the same time. Based on the theory of system stability, the rational approximation function is regarded as the combination of first-order and second-order systems, and the stability boundary of identification parameters is derived according to the stability condition of its roots. On this basis, a time-domain stable parameter identification method is proposed by using the genetic algorithm and the sequential quadratic programming algorithm. The stability and accuracy of parameter identification are verified through numerical simulation of different frequency response functions for foundations. Due to the boundary of parameter range, the calculation efficiency is also greatly improved.
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    • References (17)
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