Impact load identification and response reconstruction based on updating-combination regularization

doi:10.3785/j.issn.1008-973X.2024.05.016

Journal of ZheJiang University (Engineering Science)

2024, Vol. 58

Issue (5): 1029-1039 DOI: 10.3785/j.issn.1008-973X.2024.05.016

Impact load identification and response reconstruction based on updating-combination regularization

Hong YIN1(

),Yonghe SHI1,Zhenrui PENG1,*(

),Zenghui WANG2

1. School of Mechanical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China
2. School of Mechanical Engineering, Xi’an Jiaotong University, Xi’an 710049, China

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Abstract

An impact load identification and structural response reconstruction method based on the updating-combination regularization was proposed aiming at the problems of low accuracy in identifying peak impact loads, oscillation in identifying non loading areas, and susceptibility to noise interference in traditional regularization methods for structural response reconstruction. The reconstruction equations for the impact load and structure response were derived based on the state space model. The difference between the denoised response and the identification response was used to update the L2 regularization solution. Then higher accuracy peak identification results were obtained combining with the L1 regularization solution that had sparsity advantage while ensuring the stability of the identification of impact load in unloaded region, which realized the reconstruction of structural dynamic responses. The proposed method was verified through numerical and experimental cases, and the effect of response reconstruction based on the transfer matrix method and the particle filter method was compared. Results show that the proposed method has good anti-noise performance. The method can accurately recognize the impact load, and effectively reconstruct the dynamic response of the structure.

Key words： response reconstruction impact load regularization transfer matrix particle filter

Received: 30 November 2022 Published: 26 April 2024

CLC:	O 327
	TH 113

Fund: 国家自然科学基金资助项目(62161018)；甘肃省“创新之星”资助项目(2022CXZX-569).

Corresponding Authors: Zhenrui PENG E-mail: yinhong@mail.lzjtu.cn;pzrui@163.com

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Cite this article:

Hong YIN,Yonghe SHI,Zhenrui PENG,Zenghui WANG. Impact load identification and response reconstruction based on updating-combination regularization. Journal of ZheJiang University (Engineering Science), 2024, 58(5): 1029-1039.

URL:

https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2024.05.016 OR https://www.zjujournals.com/eng/Y2024/V58/I5/1029

修正-联合正则化的冲击载荷识别与响应重构

针对传统结构响应重构中正则化方法对冲击载荷峰值识别精度低、非加载区识别结果振荡且识别精度易受噪声干扰等问题，提出基于修正-联合正则化的冲击载荷识别与结构响应重构方法. 基于状态空间模型，推导冲击载荷及结构响应的重构方程. 对测量响应降噪，利用降噪后响应与识别响应的差值修正L2正则化解. 联合L1正则化解的稀疏性优势，在保证冲击载荷非加载区域识别稳定的同时，获得更高精度的峰值识别结果，实现结构动态响应的重构. 通过数值和实验案例验证了所提方法的有效性，对比了传递矩阵法和粒子滤波法的响应重构效果. 结果表明，所提方法具有良好的抗噪性，能够较准确地识别冲击载荷，有效地重构结构动态响应.

关键词： 响应重构, 冲击载荷, 正则化, 传递矩阵, 粒子滤波

Fig.1 Load identification cases

Fig.2 Flow chart for load identification and response reconstruction

Fig.3 Finite element model of wheelset

Fig.4 Picard diagram

Fig.5 GCV function diagram

Fig.6 Impact load identification results by different regularization methods

Tab.1 Load recognition errors under different noises %

Fig.7 Response reconstruction results of D and E nodes

Fig.8 Response reconstruction errors by different regularization methods

Tab.2 Reconstruction errors by different methods %

Fig.9 Extending beam

Fig.10 Framework diagram of modal test on extending beam

Fig.11 Picard diagram

Fig.12 GCV function diagram

Fig.13 Impact load identification results by different regularization methods

Fig.14 Results of response reconstruction

Tab.3 Comparison of reconstruction errors under different regularization methods　　　　　　　　　　　　　　　　　 %

Tab.4 Comparison of reconstruction errors by different regularization methods without considering model errors　　　　　 %


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