Frequency-domain non-convex sparse regularization method for impact force identification based on spatial sparsity prior

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Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (14) : 148-155.

CHEN Lin1,2,WANG Yanan1,2,CHENG Hao3,LIU Junjiang1,2,QIAO Baijie1,2,CHEN Xuefeng1,2

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Abstract

Composite materials are widely used in aviation, aerospace and other fields because of their advantages such as high strength, high stiffness and low density. However, due to its poor impact resistance, monitoring the impact force acting on the composite structure is very important for timely detection of structural damage. The classic Tikhonov regularization method tends to identify false forces in the non-loaded area when solving the force identification problem under the under-determined condition. The well-known L1 sparse regularization method is prone to underestimate the amplitude of the impact force. In order to break through the limitations of these methods and identify impact forces with higher accuracy, this paper proposes a novel frequency-domain non-convex sparse regularization method for impact force identification based on the spatial sparse prior of impact forces. The proposed method combines the non-convex advantages of the generalized minmax concave penalty with the convexity-preserving characteristics, and utilizes the forward-backward splitting algorithm for convex optimization. This approach avoids the problem of non-convex optimization converging to local optima and promotes sparsity of the solution. Laboratory impact tests were conducted on composite beams and laminated composite plates to validate the proposed method. Results indicated that the proposed method can accurately localize the impact positions and reconstruct the time history of impact forces, both in the case of even-determined and under-determined scenarios. The performance of the proposed method in promoting solution sparsity and identifying force amplitudes is superior to the L1 regularization method, with an improvement of over 50% in amplitude identification accuracy compared to L1 regularization.

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composite material / impact force identification / non-convex regularization / sparsity prior

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CHEN Lin1, 2, WANG Yanan1, 2, CHENG Hao3, LIU Junjiang1, 2, QIAO Baijie1, 2, CHEN Xuefeng1, 2 . Frequency-domain non-convex sparse regularization method for impact force identification based on spatial sparsity prior[J]. Journal of Vibration and Shock, 2024, 43(14): 148-155

References

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