基于改进函数拟合法的冲击载荷识别研究

doi:10.3901/JME.2022.03.157

机械工程学报 ›› 2022, Vol. 58 ›› Issue (3): 157-166.doi: 10.3901/JME.2022.03.157

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基于改进函数拟合法的冲击载荷识别研究

邱雨晴¹, 王磊², 王晓宇², 曾福明², 季宏丽¹, 裘进浩¹

1. 南京航空航天大学机械结构力学与控制国家重点实验室南京 210016;
2. 北京空间飞行器总体设计部北京 100094

收稿日期:2021-02-13 修回日期:2021-06-17 出版日期:2022-02-05 发布日期:2022-03-19
通讯作者: 季宏丽(通信作者),女,1983年出生,博士,教授,博士研究生导师。主要研究方向为结构振动与噪声控制、健康监测、自适应结构。E-mail:jihongli@nuaa.edu.cn
作者简介:邱雨晴,女,1996年出生,博士研究生。主要研究方向为载荷识别。E-mail:qiuyuqing@nuaa.edu.cn
基金资助:
国家重点研发计划（2021YFB3400100）、国家自然科学基金（52022039）、机械结构力学及控制国家重点实验室（南京航空航天大学）自主研究课题（MCMS-I-0521G03）和江苏高校优势学科建设工程资助项目。

Research on Impact Force Reconstruction Based on Improved Function Fitting Method

QIU Yuqing¹, WANG Lei², WANG Xiaoyu², ZENG Fuming², JI Hongli¹, QIU Jinhao¹

1. State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016;
2. Beijing Institute of Spacecraft System Engineering, Beijing 100094

Received:2021-02-13 Revised:2021-06-17 Online:2022-02-05 Published:2022-03-19

摘要/Abstract

摘要： 冲击载荷识别在结构设计、振动控制、健康监测等领域具有重要作用。基于经典Tikhonov正则化的冲击载荷识别方法存在识别精度、稳定性等方面存在一定的局限，近年来兴起的函数拟合法为冲击载荷识别提供了新的思路。根据冲击载荷的稀疏性质以及考虑冲击载荷的加载、卸载过程，提出基于半余弦函数拟合的冲击载荷识别方法，通过遗传算法优化半余弦基函数的区间参数，建立基于半余弦函数拟合的冲击载荷识别正则化模型，解决基于函数拟合的冲击载荷识别方法的稳定性问题。将基于半余弦函数拟合的冲击载荷识别方法、经典Tikhonov正则化方法和正交多项式拟合法分别对梁结构、桁架结构与薄板结构的有限元模型进行冲击载荷识别计算，对悬臂梁结构进行试验验证。结果表明：基于半余弦函数拟合的冲击载荷识别方法能够得到时域上的稀疏信号，识别精度高，抗噪性能好。

关键词: 冲击载荷, 载荷识别, 正则化, 函数拟合, 遗传算法

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

中图分类号:

TH16

邱雨晴, 王磊, 王晓宇, 曾福明, 季宏丽, 裘进浩. 基于改进函数拟合法的冲击载荷识别研究[J]. 机械工程学报, 2022, 58(3): 157-166.

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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基于改进函数拟合法的冲击载荷识别研究

Research on Impact Force Reconstruction Based on Improved Function Fitting Method

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