Modal Parameter Identification of a Structure Under Earthquake via a Wavelet-Based Subspace Approach
This paper introduces a novel wavelet-based methodology for identifying the modal parameters of a structure in the aftermath of an earthquake. Our proposed approach seamlessly combines a subspace method with a stationary wavelet packet transform. By relocating the subspace method into the wavelet do...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-03-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/14/6/2503 |
| _version_ | 1827307175054147584 |
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| author | Wei-Chih Su Liane-Jye Chen Chiung-Shiann Huang |
| author_facet | Wei-Chih Su Liane-Jye Chen Chiung-Shiann Huang |
| author_sort | Wei-Chih Su |
| collection | DOAJ |
| description | This paper introduces a novel wavelet-based methodology for identifying the modal parameters of a structure in the aftermath of an earthquake. Our proposed approach seamlessly combines a subspace method with a stationary wavelet packet transform. By relocating the subspace method into the wavelet domain and introducing a weighting function, complemented by a moving window technique, the efficiency of our approach is significantly augmented. This enhancement ensures the precise identification of the time-varying modal parameters of a structure. The capacity of the stationary wavelet packet transform for rich signal decomposition and exceptional time-frequency localization is harnessed in our approach. Different subspaces within the stationary wavelet packet transform encapsulate signals with distinct frequency sub-bands, leveraging the fine filtering property to not only discern modes with pronounced modal interference, but also identify numerous modes from the responses of a limited number of measured degrees of freedom. To validate our methodology, we processed numerically simulated responses of both time-invariant and time-varying six-floor shear buildings, accounting for noise and incomplete measurements. Additionally, our approach was applied to the seismic responses of a cable-stayed bridge and the nonlinear responses of a five-story steel frame during a shaking table test. The identified modal parameters were meticulously compared with published results, underscoring the applicability and reliability of our approach for processing real measured data. |
| first_indexed | 2024-04-24T18:34:46Z |
| format | Article |
| id | doaj.art-bc900b70f9574c0ebdecdcb1a3028de1 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-04-24T18:34:46Z |
| publishDate | 2024-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-bc900b70f9574c0ebdecdcb1a3028de12024-03-27T13:19:55ZengMDPI AGApplied Sciences2076-34172024-03-01146250310.3390/app14062503Modal Parameter Identification of a Structure Under Earthquake via a Wavelet-Based Subspace ApproachWei-Chih Su0Liane-Jye Chen1Chiung-Shiann Huang2AI Application & Development Center, Mitac Advanced Technology Corp., Taipei 11493, TaiwanDepartment of Civil Engineering, National Yang Ming Chiao Tung University, Hsinchu 30050, TaiwanDepartment of Civil Engineering, National Yang Ming Chiao Tung University, Hsinchu 30050, TaiwanThis paper introduces a novel wavelet-based methodology for identifying the modal parameters of a structure in the aftermath of an earthquake. Our proposed approach seamlessly combines a subspace method with a stationary wavelet packet transform. By relocating the subspace method into the wavelet domain and introducing a weighting function, complemented by a moving window technique, the efficiency of our approach is significantly augmented. This enhancement ensures the precise identification of the time-varying modal parameters of a structure. The capacity of the stationary wavelet packet transform for rich signal decomposition and exceptional time-frequency localization is harnessed in our approach. Different subspaces within the stationary wavelet packet transform encapsulate signals with distinct frequency sub-bands, leveraging the fine filtering property to not only discern modes with pronounced modal interference, but also identify numerous modes from the responses of a limited number of measured degrees of freedom. To validate our methodology, we processed numerically simulated responses of both time-invariant and time-varying six-floor shear buildings, accounting for noise and incomplete measurements. Additionally, our approach was applied to the seismic responses of a cable-stayed bridge and the nonlinear responses of a five-story steel frame during a shaking table test. The identified modal parameters were meticulously compared with published results, underscoring the applicability and reliability of our approach for processing real measured data.https://www.mdpi.com/2076-3417/14/6/2503modal parameter identificationstationary wavelet packet transformsubspace methodtime-varying systemearthquake responses |
| spellingShingle | Wei-Chih Su Liane-Jye Chen Chiung-Shiann Huang Modal Parameter Identification of a Structure Under Earthquake via a Wavelet-Based Subspace Approach Applied Sciences modal parameter identification stationary wavelet packet transform subspace method time-varying system earthquake responses |
| title | Modal Parameter Identification of a Structure Under Earthquake via a Wavelet-Based Subspace Approach |
| title_full | Modal Parameter Identification of a Structure Under Earthquake via a Wavelet-Based Subspace Approach |
| title_fullStr | Modal Parameter Identification of a Structure Under Earthquake via a Wavelet-Based Subspace Approach |
| title_full_unstemmed | Modal Parameter Identification of a Structure Under Earthquake via a Wavelet-Based Subspace Approach |
| title_short | Modal Parameter Identification of a Structure Under Earthquake via a Wavelet-Based Subspace Approach |
| title_sort | modal parameter identification of a structure under earthquake via a wavelet based subspace approach |
| topic | modal parameter identification stationary wavelet packet transform subspace method time-varying system earthquake responses |
| url | https://www.mdpi.com/2076-3417/14/6/2503 |
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