Wind and Structures

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Modal parameter identification of tall buildings based on variational mode decomposition and energy separation

  • Kang Cai (Institute of Structural Engineering, College of Civil Engineering and Architecture, Zhejiang University, Center for Balance Architecture, Zhejiang University) ;
  • Mingfeng Huang (Institute of Structural Engineering, College of Civil Engineering and Architecture, Zhejiang University, Center for Balance Architecture, Zhejiang University) ;
  • Xiao Li (Department of Civil, Chemical and Environmental Engineering, Polytechnic School, University of Genova) ;
  • Haiwei Xu (Institute of Structural Engineering, College of Civil Engineering and Architecture, Zhejiang University) ;
  • Binbin Li (College of Civil Engineering and Architecture, Zhejiang University, ZJU-UIUC Institute, Zhejiang University) ;
  • Chen Yang (Institute of Structural Engineering, College of Civil Engineering and Architecture, Zhejiang University, Center for Balance Architecture, Zhejiang University)
  • Received : 2023.03.22
  • Accepted : 2023.08.03
  • Published : 2023.12.25
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Abstract

Accurate estimation of modal parameters (i.e., natural frequency, damping ratio) of tall buildings is of great importance to their structural design, structural health monitoring, vibration control, and state assessment. Based on the combination of variational mode decomposition, smoothed discrete energy separation algorithm-1, and Half-cycle energy operator (VMD-SH), this paper presents a method for structural modal parameter estimation. The variational mode decomposition is proved to be effective and reliable for decomposing the mixed-signal with low frequencies and damping ratios, and the validity of both smoothed discrete energy separation algorithm-1 and Half-cycle energy operator in the modal identification of a single modal system is verified. By incorporating these techniques, the VMD-SH method is able to accurately identify and extract the various modes present in a signal, providing improved insights into its underlying structure and behavior. Subsequently, a numerical study of a four-story frame structure is conducted using the Newmark-β method, and it is found that the relative errors of natural frequency and damping ratio estimated by the presented method are much smaller than those by traditional methods, validating the effectiveness and accuracy of the combined method for the modal identification of the multi-modal system. Furthermore, the presented method is employed to estimate modal parameters of a full-scale tall building utilizing acceleration responses. The identified results verify the applicability and accuracy of the presented VMD-SH method in field measurements. The study demonstrates the effectiveness and robustness of the proposed VMD-SH method in accurately estimating modal parameters of tall buildings from acceleration response data.

Keywords

Acknowledgement

The work described in this paper was partially supported by the National Natural Science Foundation of China (Project No. 52178512), and the Natural Science Foundation of Zhejiang Province (Project No. LZ22E080006).

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