Abstract
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.
基金项目
National Natural Science Foundation of China(52305127)
National Natural Science Foundation of China(52075414)
China Postdoctoral Science Foundation(2021M702595)
NETL
NSTL
万方数据