• CN：11-2187/TH
• ISSN：0577-6686

• 机械动力学 •

### 机械结构冲击载荷稀疏识别方法研究

1. 1. 西安交通大学机械工程学院 西安 710049;
2. 西安交通大学机械制造系统工程国家重点实验室 西安 710049
• 收稿日期:2018-04-09 修回日期:2018-10-19 出版日期:2019-02-05 发布日期:2019-02-05
• 通讯作者: 陈雪峰(通信作者),男,1975年出生,博士,教授,博士研究生导师。主要研究方向为机械装备动态分析与故障诊断。E-mail:chenxf@xjtu.edu.cn
• 作者简介:乔百杰,男,1985年出生,博士,讲师。主要研究方向为载荷识别、结构动力学反演理论、航空发动机叶片动应变场重构。E-mail:qiao1224@xjtu.edu.cn
• 基金资助:
国家自然科学基金（51705397）、中国博士后基金（2017M610636）和国家重点基础研究发展计划（2015CB057400）资助项目。

### Sparse Identification of Impact Force Acting on Mechanical Structures

QIAO Baijie1,2, CHEN Xuefeng1,2, LIU Jinxin1,2, WANG Shibin1,2

1. 1. School of Mechanical Engineering, Xi'an Jiaotong University, Xi'an 710049;
2. The State Key Laboratory for Manufacturing Systems Engineering, Xi'an Jiaotong University, Xi'an 710049
• Received:2018-04-09 Revised:2018-10-19 Online:2019-02-05 Published:2019-02-05

Abstract: Impact force identification plays an important role in structural health monitoring, dynamics optimization design, milling force measurement, etc. However, the traditional L2 norm-based regularization methods run into the bottleneck and limitation on identification accuracy, stability, computational efficiency, parameter selection, etc. Sparse regularization theory widely developed in recent years is a promising technique for impact force identification. Considering the prior information that the impact force is sparse in time domain, a general impact force sparse identification model is proposed, where the traditional minimization L2 norm penalty is replaced by the minimization L1 norm penalty. A sparse regularization model based on L1 norm is established, leading to breaking through the limitation of the low identification accuracy of the traditional L2 norm-based regularization methods in impact force identification. The sparse identification method based on L1 norm is examined and compared with the Tikhonov regularization method based on L2 norm under single impact force and multiple impact forces. Experimental results of identifying impact force acting on a thin plate structure demonstrate that the sparse regularization solution based on L1 norm is sufficiently sparse in time domain, where the noise in the unloading stage of impact force is greatly inhibited; the proposed sparse identification method has great advantages of reconstructing impact force history, stability and computational efficiency over the traditional Tikhonov regularization method.