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Improved VMD and its application in instantaneous frequency identification of seismic responses of time-varying structures
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Yan-nan WANG, Xu-qiang SHANG, Tian-li HUANG
Journal of Vibration Engineering | 2024, 37(3) : 402 - 413
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Journal of Vibration Engineering | 2024, 37(3): 402-413
Improved VMD and its application in instantaneous frequency identification of seismic responses of time-varying structures
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Yan-nan WANG, Xu-qiang SHANG, Tian-li HUANG
Affiliations
  • School of Civil Engineering,Central South University,Changsha 410075,China
Published: 2024-03-28 doi: 10.16385/j.cnki.issn.1004-4523.2024.03.005
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Under the action of strong seismic excitations,structures exhibit time-varying dynamic characteristics due to damage. Variational mode decomposition (VMD) can be used to analyze the instantaneous frequency variation of structural seismic responses and reveal the damage condition of structures during earthquake. When VMD is adopted for decomposing the non-stationary responses,there exists the problem of mode aliasing due to the artificially presetting the number of decomposed modes K and the quadratic penalty factor α. Aiming at solving this problem,an improved variational mode decomposition (IVMD) algorithm is proposed in this study,which,combined with Hilbert transform (HT),can more accurately identify the instantaneous frequencies of time-varying structures under non-stationary seismic excitations. The multiple signal classification (MUSIC) algorithm is used to determine the number of decomposition modes K. The comprehensive objective function is constructed based on the overall orthogonal coefficient and energy ratio coefficient,and the slap swarm algorithm (SSA) is used to optimize and determine the optimal quadratic penalty factor α. Based on the optimized parameters K and α,IVMD-HT is used to identify the instantaneous frequency of time-varying structures from the seismic responses. A simulated signal and the seismic responses of a 4-layer time-varying frame structure show that the accuracy of identified instantaneous frequencies by using the IVMD algorithm is higher than the identified ones by using the VMD algorithm. The feasibility of the proposed method is verified by using shaking table test data of a 12-story reinforced concrete frame structure model.

seismic excitation  /  time-varying frame structures  /  shaking table test  /  instantaneous frequency identification  /  VMD
Yan-nan WANG, Xu-qiang SHANG, Tian-li HUANG. Improved VMD and its application in instantaneous frequency identification of seismic responses of time-varying structures[J]. Journal of Vibration Engineering, 2024 , 37 (3) : 402 -413 . DOI: 10.16385/j.cnki.issn.1004-4523.2024.03.005
Year 2024 volume 37 Issue 3
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Article Info
doi: 10.16385/j.cnki.issn.1004-4523.2024.03.005
  • Receive Date:2022-10-31
  • Online Date:2026-02-10
  • Published:2024-03-28
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  • Received:2022-10-31
  • Revised:2022-12-09
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    School of Civil Engineering,Central South University,Changsha 410075,China
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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