Accelerated generalized minimax-concave sparse regularization for impact force reconstruction and localization
Impact force identification has always been of significance for structure health monitoring especially on the applications involving composite materials. As a typical inverse problem, impact force reconstruction and localization is undoubtedly a challenging task. The well-known ℓ 1 sparse regulariza...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2024-03-01
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| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/14613484231198970 |
| _version_ | 1811153621499248640 |
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| author | Yanan Wang Lin Chen Junjiang Liu Baijie Qiao Zhu Mao Xuefeng Chen |
| author_facet | Yanan Wang Lin Chen Junjiang Liu Baijie Qiao Zhu Mao Xuefeng Chen |
| author_sort | Yanan Wang |
| collection | DOAJ |
| description | Impact force identification has always been of significance for structure health monitoring especially on the applications involving composite materials. As a typical inverse problem, impact force reconstruction and localization is undoubtedly a challenging task. The well-known ℓ 1 sparse regularization has a tendency to underestimate the amplitude of impact forces. To alleviate this limitation, we propose an accelerated generalized minimax-concave (AGMC) for sparse regularization that employs a non-convex generalized minimax-concave (GMC) penalty as the regularizer and incorporates an acceleration technique to expedite the attainment of the global minimum. Compared with the classic ℓ 1 -norm penalty, the GMC penalty can not only induce sparsity in the estimation, but also maintain the convexity of the cost function, so that the global optimal solution can be obtained through convex optimization algorithms. This method is applied to solve the impact force identification problem with unknown force locations to simultaneously reconstruct and localize impact forces in the under-determined case utilizing a limited number of sensors. Meanwhile, K-sparsity criterion is used to adaptively select regularization parameters by taking advantage of the sparse prior knowledge on impact forces. Simulations and experiments are conducted on a composite plate to verify the computational efficiency and robustness of the AGMC method in terms of impact force reconstruction and localization, particularly in the presence of noise. Results demonstrate that the proposed AGMC method achieves faster convergence and provides more accurate and sparse reconstruction and localization of impact forces compared to other state-of-the-art sparse regularization methods. |
| first_indexed | 2024-03-08T00:04:19Z |
| format | Article |
| id | doaj.art-a04829ec32474fffa80182df8f34bb78 |
| institution | Directory Open Access Journal |
| issn | 1461-3484 2048-4046 |
| language | English |
| last_indexed | 2024-03-08T00:04:19Z |
| publishDate | 2024-03-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Journal of Low Frequency Noise, Vibration and Active Control |
| spelling | doaj.art-a04829ec32474fffa80182df8f34bb782024-02-17T11:04:49ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462024-03-014310.1177/14613484231198970Accelerated generalized minimax-concave sparse regularization for impact force reconstruction and localizationYanan WangLin ChenJunjiang LiuBaijie QiaoZhu MaoXuefeng ChenImpact force identification has always been of significance for structure health monitoring especially on the applications involving composite materials. As a typical inverse problem, impact force reconstruction and localization is undoubtedly a challenging task. The well-known ℓ 1 sparse regularization has a tendency to underestimate the amplitude of impact forces. To alleviate this limitation, we propose an accelerated generalized minimax-concave (AGMC) for sparse regularization that employs a non-convex generalized minimax-concave (GMC) penalty as the regularizer and incorporates an acceleration technique to expedite the attainment of the global minimum. Compared with the classic ℓ 1 -norm penalty, the GMC penalty can not only induce sparsity in the estimation, but also maintain the convexity of the cost function, so that the global optimal solution can be obtained through convex optimization algorithms. This method is applied to solve the impact force identification problem with unknown force locations to simultaneously reconstruct and localize impact forces in the under-determined case utilizing a limited number of sensors. Meanwhile, K-sparsity criterion is used to adaptively select regularization parameters by taking advantage of the sparse prior knowledge on impact forces. Simulations and experiments are conducted on a composite plate to verify the computational efficiency and robustness of the AGMC method in terms of impact force reconstruction and localization, particularly in the presence of noise. Results demonstrate that the proposed AGMC method achieves faster convergence and provides more accurate and sparse reconstruction and localization of impact forces compared to other state-of-the-art sparse regularization methods.https://doi.org/10.1177/14613484231198970 |
| spellingShingle | Yanan Wang Lin Chen Junjiang Liu Baijie Qiao Zhu Mao Xuefeng Chen Accelerated generalized minimax-concave sparse regularization for impact force reconstruction and localization Journal of Low Frequency Noise, Vibration and Active Control |
| title | Accelerated generalized minimax-concave sparse regularization for impact force reconstruction and localization |
| title_full | Accelerated generalized minimax-concave sparse regularization for impact force reconstruction and localization |
| title_fullStr | Accelerated generalized minimax-concave sparse regularization for impact force reconstruction and localization |
| title_full_unstemmed | Accelerated generalized minimax-concave sparse regularization for impact force reconstruction and localization |
| title_short | Accelerated generalized minimax-concave sparse regularization for impact force reconstruction and localization |
| title_sort | accelerated generalized minimax concave sparse regularization for impact force reconstruction and localization |
| url | https://doi.org/10.1177/14613484231198970 |
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