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Structural Modal Parameter Identification Method Based on the Delayed Transfer Rate Function under Periodic Excitations

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  • Yanxin Xu

    (State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210024, China
    College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210024, China
    National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety, Hohai University, Nanjing 210024, China
    College of Civil and Transportation Engineering, Hohai University, Nanjing 210024, China)

  • Dongjian Zheng

    (State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210024, China
    College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210024, China
    National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety, Hohai University, Nanjing 210024, China)

  • Chenfei Shao

    (State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210024, China
    College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210024, China
    National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety, Hohai University, Nanjing 210024, China
    College of Civil and Transportation Engineering, Hohai University, Nanjing 210024, China)

  • Sen Zheng

    (State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210024, China
    College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210024, China
    National Engineering Research Center of Water Resources Efficient Utilization and Engineering Safety, Hohai University, Nanjing 210024, China)

  • Hao Gu

    (State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, Hohai University, Nanjing 210024, China
    College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210024, China)

Abstract

The dynamic response transfer rate function (TRF) is increasingly used in the field of structural modal parameter identification because it does not depend on the white noise assumption of the excitation. In this paper, the interference of periodic excitation on structural modal parameter identification using TRF is analyzed theoretically for a class of civil engineering structures with obvious periodic components in excitation, and then an identification method of structural real modal parameters is proposed. First, a delayed TRF is constructed, and the pseudo-frequency response function is further obtained to identify the periodic spurious poles of the whole system. Then, the effective identification of the real modal parameters of the structure is achieved by comparing the system poles identified via conventional TRF. Finally, the feasibility and robustness of the proposed method were verified using a calculation example with four-degrees-of-freedom system. In addition, the modal parameters of a structure under periodic excitation were effectively identified by taking a pumping station as an example, and the results show that the method accurately identified the structural modal parameters when the excitation contained periodic components, which has wider prospects for technical applications.

Suggested Citation

  • Yanxin Xu & Dongjian Zheng & Chenfei Shao & Sen Zheng & Hao Gu, 2023. "Structural Modal Parameter Identification Method Based on the Delayed Transfer Rate Function under Periodic Excitations," Mathematics, MDPI, vol. 11(4), pages 1-17, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:1019-:d:1071226
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    References listed on IDEAS

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    1. Zitong Yan & Hongmei Liu, 2022. "SMoCo: A Powerful and Efficient Method Based on Self-Supervised Learning for Fault Diagnosis of Aero-Engine Bearing under Limited Data," Mathematics, MDPI, vol. 10(15), pages 1-24, August.
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    Cited by:

    1. Yantao Zhu & Mingxia Xie & Kang Zhang & Zhipeng Li, 2023. "A Dam Deformation Residual Correction Method for High Arch Dams Using Phase Space Reconstruction and an Optimized Long Short-Term Memory Network," Mathematics, MDPI, vol. 11(9), pages 1-20, April.

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