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A Novel Inverse Time–Frequency Domain Approach to Identify Random Forces

Author

Listed:
  • You Jia

    (Department of Mechanics, College of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China)

  • Ruikai Li

    (Department of Mechanics, College of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China)

  • Yanhong Fan

    (Department of Mechanics, College of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China)

  • Haijie Huang

    (Department of Mechanics, College of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, China)

Abstract

In order to ensure the reliability and safety of complex engineering structures and allow their redesign and evaluation, the estimation of dynamic loads applied on them is vital. In this paper, a novel time–frequency domain approach is proposed to identify random forces based on the weighted regularization algorithm. Firstly, the Newmark’s algorithm was applied to obtain structural dynamic responses, then a weighed regularization algorithm was used to identify the random forces exerted on the engineering structure. The weighting matrix was used to control the identified error of the random forces. A spatial frame model was built to illustrate the practicality of the proposed approach. The experimental results demonstrated that the proposed method is more effective than other methods for random forces identification.

Suggested Citation

  • You Jia & Ruikai Li & Yanhong Fan & Haijie Huang, 2022. "A Novel Inverse Time–Frequency Domain Approach to Identify Random Forces," Mathematics, MDPI, vol. 10(13), pages 1-10, July.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:13:p:2331-:d:854924
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