Research on Impact Force Reconstruction Based on Improved Function Fitting Method

doi:10.3901/JME.2022.03.157

Abstract

Abstract: Impact load identification plays an important role in the fields of structural design, vibration control, and structural health monitoring. The reconstruction method based on classic Tikhonov regularization has some limitations in identification accuracy and stability, and the function fitting method that has emerged in recent years provides new ideas for impact force reconstruction. According to the impact force is sparse in time domain and considering the loading and unloading process in the impact history, an impact force identification method based on semi-cosine function fitting is proposed. The interval parameters of the semi-cosine basis functions are optimized by genetic algorithm, and the regularization model of impact reconstruction based on semi-cosine function fitting is established, solving the stability problem of the impact inversion method based on function fitting. Here, the impact identification method based on semi-cosine function fitting, the classic Tikhonov regularization method and orthogonal polynomial fitting method are used to perform the impact inversion calculation on the finite element model of a beam structure, a truss structure and a thin plate structure, and the cantilever beam structure is examined and verified. The results show that:the proposed method based on semi-cosine function fitting can obtain sparse signals in time domain, having great advantages to obtain accurate inversion results and it has good robustness.

Key words: impact load, load identification, regularization, function fitting, genetic algorithm

CLC Number:

TH16

QIU Yuqing, WANG Lei, WANG Xiaoyu, ZENG Fuming, JI Hongli, QIU Jinhao. Research on Impact Force Reconstruction Based on Improved Function Fitting Method[J]. Journal of Mechanical Engineering, 2022, 58(3): 157-166.

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