首页|Impact Force Localization and Reconstruction via ADMM-based Sparse Regularization Method

Impact Force Localization and Reconstruction via ADMM-based Sparse Regularization Method

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In practice,simultaneous impact localization and time history reconstruction can hardly be achieved,due to the ill-posed and under-determined problems induced by the constrained and harsh measuring conditions.Althoughℓ1 regularization can be used to obtain sparse solutions,it tends to underestimate solution amplitudes as a biased estimator.To address this issue,a novel impact force identification method with ℓp regularization is proposed in this paper,using the alternating direction method of multipliers(ADMM).By decomposing the complex primal problem into sub-problems solvable in parallel via proximal operators,ADMM can address the challenge effectively.To mitigate the sensitivity to regularization parameters,an adaptive regularization parameter is derived based on the K-sparsity strategy.Then,an ADMM-based sparse regularization method is developed,which is capable of handling ℓp regulari-zation with arbitrary p values using adaptively-updated parameters.The effectiveness and performance of the pro-posed method are validated on an aircraft skin-like composite structure.Additionally,an investigation into the optimal p value for achieving high-accuracy solutions via ℓp regularization is conducted.It turns out that ℓ0.6 regularization consistently yields sparser and more accurate solutions for impact force identification compared to the classic ℓ1 regularization method.The impact force identification method proposed in this paper can simultaneously recon-struct impact time history with high accuracy and accurately localize the impact using an under-determined sensor configuration.

Impact force identificationNon-convex sparse regularizationAlternating direction method of multipliersProximal operators

Yanan Wang、Lin Chen、Junjiang Liu、Baijie Qiao、Weifeng He、Xuefeng Chen

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National Key Lab of Aerospace Power System and Plasma Technology,Xi'an Jiaotong University,Xi'an 710049,China

School of Mechanical Engineering,Xi'an Jiaotong University,Xi'an 710049,China

National Natural Science Foundation of ChinaNational Natural Science Foundation of ChinaChina Postdoctoral Science Foundation

52305127520754142021M702595

2024

10.1186/s10033-024-01044-2

中国机械工程学报
中国机械工程学会

中国机械工程学报

CSTPCD
影响因子：0.765
ISSN：1000-9345
年,卷(期)：2024.37(3)