基于模型修正的螺栓结合部虚拟材料参数识别及应用

doi:10.3901/JME.2022.21.274

机械工程学报 ›› 2022, Vol. 58 ›› Issue (21): 274-284.doi: 10.3901/JME.2022.21.274

扫码分享

基于模型修正的螺栓结合部虚拟材料参数识别及应用

雷声¹, 毛宽民², 田微¹, 孔德龙¹

1 中南民族大学计算机科学学院武汉 430074;
2. 华中科技大学机械科学与工程学院武汉 430072

收稿日期:2021-12-02 修回日期:2022-06-10 出版日期:2022-11-05 发布日期:2022-12-23
通讯作者: 毛宽民(通信作者),男,1964年出生,博士,教授,博士研究生导师。主要研究方向为机床动力学,加工过程中振动分析测试及应用,机床大件的低应力装配。E-mail:kmmao4645@sina.com
作者简介:雷声,男,1988年出生,博士,讲师,硕士研究生导师。主要研究方向为机械结合部及机床动力学,加工过程智能检测与故障诊断,先进制造与智能制造。E-mail:leisheng945@sina.com
基金资助:
国家自然科学基金（52105135）；湖北省自然科学基金（2020CFB174）；国家科技支撑计划（2012BAF08B01）和中南民族大学中央高校基本科研业务费专项资金（CZY20027）资助项目。

Parameter Identification and Application of Virtual Material Model of Bolt Joint Based on Model Updating Method

LEI Sheng¹, MAO Kuanmin², TIAN Wei¹, KONG Delong¹

1. School of Computer Science, South-Central University for Nationalities, Wuhan 430074;
2. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan 430072

Received:2021-12-02 Revised:2022-06-10 Online:2022-11-05 Published:2022-12-23

摘要/Abstract

摘要： 针对螺栓结合部虚拟材料模型建模及参数识别问题，基于结合部显著影响整体结构动力学性能这一特性，提出基于模型修正的虚拟材料动力学模型参数识别方法。针对参数识别中修正方程的病态问题，根据虚拟材料相关参数及结构各阶模态频率相互之间的影响度，构造修正方程的左右加权函数以减轻其病态程度，并通过仿真算例验证参数识别方法的有效性。探讨平板螺栓连接及哑铃状结构用于虚拟材料参数识别的有效性及抗噪性，加工哑铃结构的实验零件，辨识螺栓结合部虚拟材料模型的参数。基于机床螺栓结构的常用工况，建立虚拟材料模型参数库，并在CKX5680数控机床上验证参数库的有效性。结果表明：采用模型修正技术可以准确地识别无噪声时的虚拟材料参数；采用哑铃结构实验试件在有噪声情况下，螺栓结合部虚拟材料参数识别误差小于8%；采用虚拟材料模型模拟螺栓结合部的建模误差小于5.6%。

关键词: 螺栓结合部, 虚拟材料, 动力学建模, 参数识别, 模型修正

Abstract: To solve the modeling and parameter identification problem about the virtual material model of bolt joint, based on the fact that joint significantly affect the dynamic property of the whole system, a parameter identification method based on model updating is proposed. The left and right weighting functions, which constructed by considered the influence of virtual material parameters and structural modal frequency, are proposed to reduce the ill-condition of the modified equation. Accuracy of the proposed method is verified by numerical example. The table bolted connection structure and dumbbell structure is discussed for bolt parameters identification, and the dumbbell test structure is designed to identify the virtual material parameters. Finally, based on the common working conditions of bolt joints on machine tools, the virtual material model parameter database is established, and the validity of the parameter database is verified on the CKX5680 CNC machine tool. The results show that the model updating method can accurately identify virtual material parameters in the absence of noise. In the case of testing noise, the parameter identification error for dumbbell structure is less than 8%. The modeling error of virtual material model for bolt joint is less than 5.6%.

Key words: bolt joint, virtual material, dynamic modeling, parameter identification, model updating

中图分类号:

TH113

雷声, 毛宽民, 田微, 孔德龙. 基于模型修正的螺栓结合部虚拟材料参数识别及应用[J]. 机械工程学报, 2022, 58(21): 274-284.

LEI Sheng, MAO Kuanmin, TIAN Wei, KONG Delong. Parameter Identification and Application of Virtual Material Model of Bolt Joint Based on Model Updating Method[J]. Journal of Mechanical Engineering, 2022, 58(21): 274-284.

参考文献

[1] YOSHIMURA M. Making use of CAD technology based on the dynamic characteristics data of joints to improve the structural rigidity of machine tools[J]. Machine Tools, 1979, 1(1):142-146.
[2] XU P, ZHOU Z, LIU T, et al. The investigation of viscoelastic mechanical behaviors of bolted GLARE joints:Modeling and experiments[J]. International Journal of Mechanical Sciences, 2020, 175:105538.
[3] LI C, QIAO R, TANG Q, et al. Investigation on the vibration and interface state of a thin-walled cylindrical shell with bolted joints considering its bilinear stiffness[J]. Applied Acoustics, 2021, 172:107580.
[4] 蔡力钢, 郝宇, 郭铁能, 等. 螺栓结合面法向静态刚度特性提取方法研究[J]. 振动与冲击, 2014, 33(16):18-23. CAI Ligang, HAO Yu, GUO Tieneng, et al. Method of extracting normal static stiffness of bolted joint interfaces[J], Journal of vibration and shock, 2014, 33(16):18-23.
[5] 刘晓峰, 孙伟, 方自文. 基于非均匀分布复弹簧单元的螺栓连接薄板结构动力学有限元建模[J]. 振动与冲击, 2021, 40(13):111-119. LIU Xifeng, SUN Wei, FANG Ziwen. Finite element dynamic modeling for bolted thin plate structure based on complex spring element with non-uniform distribution[J], Journal of vibration and shock, 2021, 40(13):111-119.
[6] 李院生, 张广鹏, 解芳芳, 等. 一种螺栓结合部刚度四点等效方法[J]. 机械强度, 2017, 39(3):642-646. LI Yuansheng, ZHANG Guangpeng, XIE Fangfang, et al. A four-point equivalent method of the bolted joints stiffness[J], Journal of Mechanical Strength, 2017, 39(3):642-646.
[7] EHRLICH C, SCHMIDT A, GAUL L. Reduced thin-layer elements for modeling the nonlinear transfer behavior of bolted joints of automotive engine structures[J]. Archive of Applied Mechanics, 2016, 86(1):59-64.
[8] XIAO W, MAO K, ZHU M, et al. Modelling the spindle-holder taper joint in machine tools:A tapered zero-thickness finite element method[J]. Journal of Sound and Vibration, 2014, 333(22):5836-5850.
[9] MAO K, LI B, WU J, et al. Stiffness influential factors-based dynamic modeling and its parameter identification method of fixed joints in machine tools[J]. International Journal of Machine Tools and Manufacture, 2010, 50(2):156-164.
[10] 毛宽民, 黄小磊, 李斌, 等. 一种机床固定结合部的动力学参数化建模方法[J]. 华中科技大学学报, 2012, 40(4):49-53. MAO Kuanmin, HUANG Xiaolei, LI Bin, et al. Dynamic and parameterized modeling of fixed joints in machine tools using surface respose method[J]. Journal of Huzhong University of Science and Technology, 2012, 40(4):49-53.
[11] 毛宽民, 李斌, 雷声. 机床结合部动力学建模及应用[M]. 武汉:武汉理工大学出版社, 2018. MAO Kuanmin, LI Bin, LEI Sheng. Modeling and application of joints on machine tools[M]. Wuhan:Wuhan University of Technology, 2018.
[12] 李玲, 蔡安江, 蔡力钢, 等. 螺栓结合面微观接触模型[J]. 机械工程学报, 2016, 52(7):205-212. LI Ling, CAI Anjiang, CAI Ligang, et al. Micro-contact model of bolted-joint interface[J]. Journal of Mechanical Engineering, 2016, 52(7):205-212.
[13] LI L, WANG J, PEI X, et al. A modified elastic contact stiffness model considering the deformation of bulk substrate[J]. Journal of Mechanical Science and Technology, 2020, 34(2):777-790.
[14] 李玲, 云强强, 王晶晶, 等. 具有连续光滑特性的结合面接触刚度模型[J]. 机械工程学报, 2021, 57(7):117-124. LI Ling, YUN Qiangqiang, WANG Jingjing, et al. A continuous and smooth contact stiffness model for mechanical joint surfaces[J]. Journal of Mechanical Engineering, 2021, 57(7):117-124.
[15] 惠烨, 黄玉美, 李艳. 切向载荷下螺栓结合部静特性分析及试验[J]. 中国机械工程, 2015, 26(7):892-898. HUI Ye, HUANG Yumei, LI Yan. Theoretical analysis and test on static characteristics of bolt joints under tangential load[J]. China Mechanical Engineering, 2015, 26(7):892-898.
[16] 惠烨, 黄玉美, 李鹏阳, 等. 预紧载荷下螺栓结合部静特性分析[J]. 中国机械工程, 2019, 30(10):1149-1155. HUI Ye, HUANG Yumei, LI Pengyang, et al. Static characteristic analysis of bolt joints under preloads[J]. China Mechanical Engineering, 2019, 30(10):1149-1155.
[17] TIAN H, LI B, LIU H, et al. A new method of virtual material hypothesis-based dynamic modeling on fixed joint interface in machine tools[J]. International Journal of Machine Tools and Manufacture, 2011, 51(3):239-249.
[18] YE H, HUANG Y, LI P, et al. Virtual material parameter acquisition based on the basic characteristics of the bolt joint interfaces[J]. Tribology International, 2016, 95:109-117.
[19] ZHAO Y, YANG C, CAI L, et al. Surface contact stress-based nonlinear virtual material method for dynamic analysis of bolted joint of machine tool[J]. Precision Engineering, 2016, 43:230-240.
[20] 田红亮, 钟先友, 秦红玲, 等. 依据各向异性分形几何理论的固定结合部法向接触力学模型[J]. 机械工程学报, 2013, 49(21):108-122. TIAN Hongliang, ZHONG Xianyou, QIN Hongling, et al. Normal contact mechanicsmodel of fixed joint interface adopting anisotropic fractal geometerical theory[J]. Journal of Mechanical Engineering, 2013, 49(21):108-122.
[21] 张学良, 范世荣, 温淑花, 等. 基于等效横观各向同性虚拟材料的固定结合部建模方法[J]. 机械工程学报, 2017, 53(15):141-147. ZHANG Xueliang, FAN Shirong, WEN Shuhua, et al. Modeling method of fixed joint interfaces based on equivalent transversely isotropic virtual material[J], Journal of Mechanical Engineering, 2017, 53(15):141-147.
[22] LIU H, SUN Y, LIU Z. Simulation and experiment of dynamic properties of joint surfaces based on fractal theory[J]. Shock and Vibration, 2015(2):48-56.
[23] ZHAO Y, XU J, CAI L, et al. Stiffness and damping model of bolted joint based on the modified three-dimensional fractal topography[J]. Proceedings of the Institution of Mechanical Engineers, Part C:Journal of Mechanical Engineering Science, 2017, 231(2):279-293.
[24] 田红亮, 方子帆, 赵春华, 等. 依据修正GW理论的结合部法向接触研究[J]. 华中科技大学学报, 2014, 42(6):38-42+47. TIAN Hongliang, FANG Zifan, ZHAO Chunhua, et al. Normal contact of joint interface using revised GW theory[J]. Journal of Huzhong University of Science and Technology, 2014, 42(6):38-42+47.
[25] PAN W, LI H, QU H, et al. Investigation of tangential contact damping of rough surfaces from the perspective of viscous damping mechanism[J]. Journal of Tribology, 2021, 143(4):041501.
[26] 陈永会, 张学良, 温淑花, 等. 考虑弹塑性阶段的结合面法向接触阻尼分形模型[J]. 机械工程学报, 2019, 55(16):58-68. CHEN Yonghui, ZHANG Xueliang, WEN Shuhua, et al. Fractal model for normal contact damping of joint surface considering elastoplastic phase[J]. Journal of Mechanical Engineering, 2019, 55(16):58-68.
[27] 王颜辉, 张学良, 温淑花, 等. 机械结合面法向接触刚度分形理论模型[J]. 机械强度, 2020, 42(3):648-653. WANG Yanhui, ZHANG Xueliang, WEN Shuhua, et al. Fractal theoretical theo retical model of normal contact stiffness of mechanical joint interface[J]. Journal of Mechanical Strength, 2020, 42(3):648-653.
[28] 杨红平, 傅卫平, 王雯, 等. 基于分形几何与接触力学理论的结合面法向接触刚度计算模型[J]. 机械工程学报, 2013, 49(1):102-107. YANG Hongping, FU Weiping, WANG Wen, et al. Calculation model of the normal contact stiffness of joints based on the fractal geometry and contact theory[J]. Journal of Mechanical Engineering, 2013, 49(1):102-107.
[29] 石坤, 张广鹏, 魏锋涛, 等. 机械结合部动态特性的等效参数研究[J]. 机械工程学报, 2018, 54(19):144-149. SHI Kun, ZHANG Guangpeng, WEI Fengtao, et al. Equivalent characteristic parameters of mechanical joints[J]. Journal of Mechanical Engineering, 2018, 54(19):144-149.
[30] 马辉, 于明月, 高昂, 等. 基于非线性虚拟材料栓接结合部动力学建模方法[J]. 东北大学学报, 2021, 42(28):1111-1119. MA Hui, YU Mingyue, GAO Ang, et al. Dynamic modeling method of bolted joint interfaces based on nonlinear transversely isotropic virtual material[J]. Journal of Northeastern University, 2021, 42(28):1111-1119.
[31] 刘晓峰, 孙伟, 孙悦. 基于虚拟材料复模量非均匀分布的螺栓连接薄板结构半解析建模[J]. 工程科学学报, 2021, 43(6):843-851. LIU Xiaofeng, SUN Wei, SUN Yue. Semianalytical modeling of a bolted thin plate structure based on nonuniform distributions of the complex modulus of a virtual material[J]. Chinese Journal of Engineering, 2021, 43(6):843-851.
[32] PEETERS B, VAN DER AUWERAER H, GUILLAUME P, et al. The PolyMAX frequency-domain method:A new standard for modal parameter estimation[J]. Shock and Vibration, 2004, 11:523692.
[33] 孙鑫晖, 郝木明, 王淮维. PolyMAX模态参数识别算法的快速实现[J]. 振动与冲击, 2011, 30(10):6-8. SUN Xinhui, HAO Muming, WANG Huaiwei. Fast implementation for PolyMAX modal identification algorithm[J]. Journal of vibration and shock, 2011, 30(10):6-8+18
[34] YE B, XIAO W, MAO K, et al. Hybrid analytic-experimental modeling for machine tool structural dynamics[J]. The International Journal of Advanced Manufacturing Technology, 2017, 90(5):1679-1691.

基于模型修正的螺栓结合部虚拟材料参数识别及应用

Parameter Identification and Application of Virtual Material Model of Bolt Joint Based on Model Updating Method

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]	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.
[2]	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.
[3]	王敏, 孙景健, 丁基恒, 孙翊, 彭艳, 蒲华燕, 罗均, 谢少荣. 基于D-H参数与拉格朗日联立方程的仿生水蛇机器人运动学分析及动力学建模[J]. 机械工程学报, 2024, 60(15): 134-148.
[4]	陈睿, 程诗敏, 温仕成, 赵子衡, 彭锐涛, 胡聪芳, 肖湘武. 基于J-C模型修正的7150-T6航空铝合金薄壁开孔圆管结构优化[J]. 机械工程学报, 2024, 60(11): 95-104.
[5]	张德权, 李星奥, 贾新宇, 叶楠, 韩旭. 基于分层贝叶斯推理的RV减速器动力学模型修正及动态响应预测方法[J]. 机械工程学报, 2024, 60(11): 135-144.
[6]	王明昊, 汪满新. 一种新型五自由度混联机器人动力学建模与性能评价[J]. 机械工程学报, 2023, 59(9): 63-75.
[7]	赵睿英, 余进, CHEN Y H, 冯艳丽, 曹学鹏. 机械系统动力学Rosenberg嵌入法的扩展与解耦：一阶约束与二阶约束的整合[J]. 机械工程学报, 2023, 59(9): 101-115.
[8]	朱子俊, 朱祥龙, 董志刚, 康仁科, 鲍岩. 磨削加工颤振稳定性研究综述[J]. 机械工程学报, 2023, 59(21): 15-33.
[9]	于曰伟, 赵雷雷, 谭迪, 周长城. 考虑牵引电机振动的列车-轨道系统垂向耦合动力学分析[J]. 机械工程学报, 2023, 59(16): 379-389.
[10]	邹广平, 柳天增, 吴松阳, 张冰, 唱忠良, 王宣. 基于幂级数与椭圆方程的金属丝网橡胶组合减振器动态迟滞模型[J]. 机械工程学报, 2023, 59(10): 106-116.
[11]	马光同, 曾靖淞, 冯丕极, 闫兆盈, 张伟海. 超导电动磁悬浮列车次级悬挂混合阻尼半主动减振控制研究[J]. 机械工程学报, 2023, 59(10): 236-249.
[12]	徐向阳, 李龙, 任博, 朱才朝. 空间轴交角人字行星齿轮系统动态特性研究[J]. 机械工程学报, 2023, 59(1): 141-150.
[13]	徐灵敏, 叶伟, 李秦川. 并联机器人逆动力学建模的几何代数方法[J]. 机械工程学报, 2022, 58(7): 1-11.
[14]	卢浩, 郭士杰, 杨志强, 陈力, 邓飞, 王洪波. 2R耦合驱动关节动力学建模与参数辨识[J]. 机械工程学报, 2022, 58(23): 51-64.
[15]	于曰伟, 赵雷雷, 周长城. 坐姿人体与车辆-轨道系统的垂向耦合作用机理[J]. 机械工程学报, 2022, 58(16): 290-300.