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Recursive dynamic mode decomposition method for output-only identification of time-varying modal parameters
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Tingwei FAN1, 2, Zhisai MA1, 2, Qian DING1, 2, Feng QI3, Lei WANG3
Journal of Vibration Engineering | 2025, 38(4) : 677 - 686
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Journal of Vibration Engineering | 2025, 38(4): 677-686
Recursive dynamic mode decomposition method for output-only identification of time-varying modal parameters
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Tingwei FAN1, 2, Zhisai MA1, 2, Qian DING1, 2, Feng QI3, Lei WANG3
Affiliations
  • 1.School of Mechanical Engineering，Tianjin University，Tianjin 300350，China
  • 2.Tianjin Key Laboratory of Nonlinear Dynamics and Control，Tianjin 300350，China
  • 3.Beijing Institute of Astronautical System Engineering，Beijing 100076，China
Published: 2025-04-10 doi: 10.16385/j.cnki.issn.1004-4523.2025.04.002
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Time-varying modal identification is important to obtain the dynamic characteristics of time-varying engineering structures and realize real-time vibration control and online health monitoring of structural systems. Aiming at the problems of measuring the excitation of engineering structures and low efficiency of time-varying modal identification，an output-only recursive identification method based on dynamic mode decomposition（DMD）is proposed in this paper. To extend the theory of the existing DMD method，this paper draws on the projection approximation subspace tracking algorithm and the sliding-window idea，and proposes a recursive format of the DMD method，which can update the system matrix and the proper orthogonal decomposition basis recursively，and can be further used for the output-only recursive modal identification of time-varying systems. A numerical example of a three-degree-of-freedom structural system with time-varying mass and an experimental setup of a liquid-filled cylindrical structural system with variable mass are respectively designed and built to validate the proposed method numerically and experimentally. The results demonstrate that the proposed recursive DMD method is able to accurately identify the modal parameters of the time-varying structures by only using the measured vibration response data，and has good output-only recursive identification capability.

time-varying system  /  modal identification  /  dynamic mode decomposition  /  output-only recursive identification
Tingwei FAN, Zhisai MA, Qian DING, Feng QI, Lei WANG. Recursive dynamic mode decomposition method for output-only identification of time-varying modal parameters[J]. Journal of Vibration Engineering, 2025 , 38 (4) : 677 -686 . DOI: 10.16385/j.cnki.issn.1004-4523.2025.04.002
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Year 2025 volume 38 Issue 4
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.2025.04.002
  • Receive Date：2023-07-23
  • Online Date：2026-02-12
  • Published：2025-04-10
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  • Received：2023-07-23
  • Revised：2023-10-09
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Affiliations
    1.School of Mechanical Engineering，Tianjin University，Tianjin 300350，China
    2.Tianjin Key Laboratory of Nonlinear Dynamics and Control，Tianjin 300350，China
    3.Beijing Institute of Astronautical System Engineering，Beijing 100076，China
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https://castjournals.cast.org.cn/joweb/zdgcxb/EN/10.16385/j.cnki.issn.1004-4523.2025.04.002
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