动应变与加速度在机械系统动力学描述中的关联与比较

doi:10.3901/JME.2022.08.079

机械工程学报 ›› 2022, Vol. 58 ›› Issue (8): 79-87.doi: 10.3901/JME.2022.08.079

• 特邀专栏：机械装备的光纤传感检测与应用 • 上一篇下一篇

扫码分享

动应变与加速度在机械系统动力学描述中的关联与比较

曲永志¹, 王泽超^2,3, 周祖德^2,3

1. 明尼苏达大学德卢斯分校机械与工业工程系德卢斯 55812 美国;
2. 武汉理工大学机电工程学院武汉 430070;
3. 武汉理工大学湖北省数字制造重点实验室武汉 430070

收稿日期:2021-01-03 修回日期:2021-12-05 出版日期:2022-04-20 发布日期:2022-06-13
通讯作者: 王泽超(通信作者),男,1992年出生,博士。主要研究方向为物理意义增强的机器学习用于建模、偏微分方程发现和求解、结构健康监测,医疗器械和智能结构。E-mail:whutwzc@whut.edu.cn
作者简介:曲永志,男,1985年出生,博士,助理教授。主要研究方向为数据驱动的系统动态分析,故障诊断以及物理意义加强的机器学习。E-mail:yongzhi@umn.edu周祖德,男,1945年出生,教授。主要研究方向为数字制造,碳纤维制造,制造信息化等。E-mail:zudezhou@whut.edu.cn

Correlation and Comparison of Dynamic Strain and Acceleration in the Description of Mechanical System Dynamics

QU Yongzhi¹, WANG Zechao^2,3, ZHOU Zude^2,3

1. Department of Mechanical and Industrial Engineering, University of Minnesota Duluth, Duluth 55812, USA;
2. School of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan 430070;
3. Hubei Key Laboratory of Digital Manufacturing, Wuhan University of Technology, Wuhan 43000

Received:2021-01-03 Revised:2021-12-05 Online:2022-04-20 Published:2022-06-13

摘要/Abstract

摘要： 近年来，光纤光栅在结构健康监测以及机械故障诊断中得到了广泛的应用，其中光纤光栅主要是对应变进行测量。由于应变片和光纤光栅受限于采集设备的频率带宽，应变一直被认为是一个半静态量，所以动应变一直没有得到学术界和工业界足够的关注。人们是否能够以及如何利用动应变信号来描述动力学特性一直未能得到足够的探讨。但是据作者了解，应变率以及应变加速度的概念尚未得到阐释和定义以及应用。基于此，提出两个基本假设，第一，动应变可以像位移一样用于机械系统动力学描述；第二，动应变在时间尺度上可微分得到应变率和应变加速度。当我们同时获得了应变，应变率和应变加速度，我们可以将它们作为表征机械系统动力学特性的物理参量在时域中对动力学模型进行直接验证，从而提供了一种新的理论模型与试验数据的对比验证方式。给出应变，应变率，和应变加速度描述的动力学方程模型，同时给出信号在对时间进行微分和积分运算时其幅值和频率之间的理论关系，并在搭建的齿轮箱试验平台和液压管路试验平台上对比常用的数值积分方法和数值微分方法在合成信号时候的保真性能。试验结果表明光纤光栅动应变信号通过数值微分合成应变率和应变加速度时其频率成分和幅值均不会失真，然而加速度信号通过数值积分合成的速度和位移在频率成分和幅值上均出现了失真的现象。

关键词: 动应变, 加速度, 动力学, 光纤光栅

Abstract: Recently, the fiber Bragg grating(FBG) strain sensor has been widely used in structural health monitoring and the fault diagnosis of the machinery. Due to the limitation of the bandwidth of strain gauges and FBG strain sensors, strain has always been considered as a semi-static variable, therefore the dynamic strain has not got enough attention. Whether and how people can use dynamic strain signals to describe dynamic characteristics has not been sufficiently discussed and explored. To the best of the authors' knowledge, the concepts of strain rate the strain acceleration have not been developed and applied. To bridge the gap, this work will propose the concepts of strain rate and strain acceleration and two basic assumptions, i.e. the dynamic strain can be used to describe the dynamics of the mechanical system like the displacement and the dynamic strain ratio and strain acceleration can be obtained by numerical differentiating the strain signals with respect to the time. When we obtain strain, strain ratio and strain acceleration simultaneously, we can use them as physical parameters to characterize the dynamic properties to verify the dynamics model. It opens new path to compare and verify the theoretical model with the data of strain. Moreover, present study develops the dynamic model with the strain, strain ratio and strain acceleration. The theoretical relationships between the original signal and the one which is differentiated and integrated from the original signal in frequency and amplitude are given. The performances of the commonly used numerical differentiation and numerical integration methods are compared with the tests data in gear box and hydraulic pipe system. The results indicate that the high fidelity in frequency components and amplitudes is kept when the dynamic strain measured by the FBG is differentiated to obtain the strain rate and strain acceleration. However, the numerical integration in obtaining the velocity and displacement from the acceleration lose its accuracy in frequency components and amplitudes.

Key words: dynamic strain, acceleration, dynamics, FBG

中图分类号:

曲永志, 王泽超, 周祖德. 动应变与加速度在机械系统动力学描述中的关联与比较[J]. 机械工程学报, 2022, 58(8): 79-87.

QU Yongzhi, WANG Zechao, ZHOU Zude. Correlation and Comparison of Dynamic Strain and Acceleration in the Description of Mechanical System Dynamics[J]. Journal of Mechanical Engineering, 2022, 58(8): 79-87.

参考文献

[1] 雷亚国,韩天宇,王彪,等. XJTU-SY滚动轴承加速寿命试验数据集解读[J].机械工程学报,2019,55(16):1-6. LEI Yaguo,HAN Tianyu,WANG Biao,et al. XJTU-SY rolling element bearing accelerated life test datasets:A tutorial[J]. Journal of Mechanical Engineering,2019,55(16):1-6.
[2] 曹宏瑞,景新,苏帅鸣,等.中介轴承故障动力学建模与振动特征分析[J].机械工程学报,2020,56(21):89-99. CAO Hongrui,JING Xin,SU Shuaiming,et al. Dynamic modeling and vibration analysis for inter-shaft bearing fault[J]. Journal of Mechanical Engineering,2020,56(21):89-99.
[3] 张景玲.机械振动[M].北京:国防工业出版社,1985. ZHANG Jingling. Mechanical vibration[M]. Beijing:National Defense Industry Press,1985.
[4] 马志赛,丁千,刘莉,等.线性时变结构模态参数时域辨识方法的研究进展[J].机械工程学报,2018,54(23):137-159. MA Zhisai,DING Qian,LIU Li,et al. Research progress on time-domain modal parameter estimation methods for linear time-varying structures[J]. Journal of Mechanical Engineering,2018,54(23):137-159.
[5] DERKEVORKIAN A,MASRI S F,ALVARENGA J,et al. Strain-based deformation shape-estimation algorithm for control and monitoring applications[J]. AIAA Journal,2013,51(9):2231-2240.
[6] BAKALYAR J,JUTTE C. Validation tests of fiber optic strain-based operational shape and load measurements[C/CD]//Aiaa/asme/asce/ahs/asc Structures,Structural Dynamics&Materials Conference,2012.
[7] KANG L H,KIM D K,HAN J H,Estimation of dynamic structural displacements using fiber Bragg grating strain sensors[J]. Journal of Sound and Vibration,2007,305(3):534-542.
[8] LI Tianliang,LIU Mingyao,LI Ruiya,et al. FBG-based online monitoring for uncertain loading-induced deformation of heavy-duty gantry machine tool base[J]. Mechanical Systems and Signal Processing,2020,144:106864.
[9] 李德葆,陆秋海.应变模态分析和曲率模态分析[C/CD]//全国振动与噪声高技术及应用会议,2001. LI Debao,LU Qiuhai. Strain Modal Analysis and Curvature Modal Analysis[C/CD]//VNTA2001,2001.
[10] LI Debao. Establishing strainresponse model of vibrational structure by strain modal analysis approach[J]. Acta Mechanica Solida Sinica,1990,3(3):341-350.
[11] YAM L Y,LEUNG T P,LI Debao,et al. Theoretical and experimental study of modal strain analysis[J]. Journal of Sound and Vibration,1996,191(2):251-260.
[12] 李德葆.实验应变/应力模态分析若干问题的进展评述[J].振动与冲击,1996,15(1):13-17. LI Debao. Review on the progress of several problems in experimental strain/stress modal analysis[J]. Journal of Vibration and Shock,1996,15(1):13-17.
[13] LI Y Y,CHENG Li,YAM L H,et al. Identification of damage locations for plate-like structures using damage sensitive indices:Strain modal approach[J]. Journal of Sound and Vibration,2002,80:1881-1894.
[14] XU Zhaodong,WU Keyi. Damage detection for space truss structures based on strain mode under ambient excitation[J]. Journal of Engineering Mechanics,2012,138(10):1215-1223.
[15] WANG Zechao,LIU Mingyao,QU Yongzhi,et al. The detection of the pipe crack utilizing the operational modal strain identified from fiber Bragg grating[J]. Sensors,2019,19(11):2556.
[16] WANG Zechao,LIU Mingyao,ZHU Zaisi,et al. Clamp looseness detection using modal strain estimated from FBG based operational modal analysis[J]. Measurement,2019,137:82-97.
[17] YIN Jieming,WANG Zechao,LIAO Wenlin,et al. A data fusion based diagnostic methodology for in-situ debonding detection in beam-like honeycomb sandwich structures with fiber Bragg grating sensors[J]. Measurement,2022,191(15):110810.
[18] PRIESTLEY M J N. Displacement-based seismic assessment of reinforced concrete buildings[J]. Journal of Earthquake Engineering,1997,1(1):157-192.

动应变与加速度在机械系统动力学描述中的关联与比较

Correlation and Comparison of Dynamic Strain and Acceleration in the Description of Mechanical System Dynamics

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价

[1]	崔歆, 李长河, 张彦彬, 杨敏, 周宗明, 刘波, 王春锦. 磁力牵引纳米润滑剂微量润滑磨削力模型与验证[J]. 机械工程学报, 2024, 60(9): 323-337.
[2]	张行, 富宽, 陈铭浩, 李睿, 石新娜. 压差式多节串联管道机器人越障时动力学演化规律及减振分析[J]. 机械工程学报, 2024, 60(8): 348-359.
[3]	畅博彦, 韩芳孝, 周杨, 金国光. 面向精梳任务的高速变胞机构冲击动力学研究[J]. 机械工程学报, 2024, 60(7): 54-65.
[4]	张俊, 吴成阳, 方汉良, 孙载超, 王凯龙, 汤腾飞. Z4型冗余驱动并联操作器的驱动特性研究[J]. 机械工程学报, 2024, 60(7): 66-78.
[5]	商德勇, 黄欣怡, 黄云山, 张天佑. 基于Kane方程的Delta并联机器人刚柔耦合动力学研究[J]. 机械工程学报, 2024, 60(7): 124-133.
[6]	杨炜烽, 刘检华, 吕乃静, 马江涛. 基于位置动力学的线缆运动过程仿真方法[J]. 机械工程学报, 2024, 60(6): 21-31,57.
[7]	水有富, 刘金祥, 黄渭清, 左正兴, 周海涛, 白文君. 发动机气缸盖用铸造Al-Si合金腐蚀动力学研究[J]. 机械工程学报, 2024, 60(6): 261-270.
[8]	陈清华, 杨云帆, 閤鑫, 凌亮, 王开云. 基于电磁力作用的地铁列车防滑控制研究[J]. 机械工程学报, 2024, 60(6): 334-341.
[9]	蔡腾飞, 潘岩, 王啸林, 马飞, 祝启恒, 韩健. 自振空化射流冲蚀模式与机制研究[J]. 机械工程学报, 2024, 60(6): 378-385.
[10]	张风利, 张荣荣, 罗秋丽, 张亚东, 李兵, 郭慧. 某SUV镂空扰流板气动噪声机理分析及降噪研究[J]. 机械工程学报, 2024, 60(6): 398-408.
[11]	魏静, 刘指柔, 魏海波, 徐子扬. 高速薄辐板齿轮传动节径型振动位移与动应变时空变换方法[J]. 机械工程学报, 2024, 60(5): 70-80.
[12]	周祖意, 杨玉维, 齐文耀, 龚健超, 李照童. 腰部外骨骼机器人多刚-柔体动力学等效逆解方法研究及其性能优化综合[J]. 机械工程学报, 2024, 60(5): 107-118.
[13]	华东鹏, 周青, 王婉, 李硕, 王志军, 王海丰. 碳化硅纳米抛光亚表面损伤机理的分子动力学模拟[J]. 机械工程学报, 2024, 60(5): 231-240.
[14]	周宁, 姚建勇, 邓文翔. 基于神经网络的比例伺服阀阀芯液动力补偿鲁棒智能控制[J]. 机械工程学报, 2024, 60(4): 126-133.
[15]	潘鑫, 张馨, 卢加乔, 吴海琦. 基于超声电机精稳调控的转子不平衡自愈执行装置设计与试验研究[J]. 机械工程学报, 2024, 60(4): 449-457.