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Gear backlash modeling and tolerance simulation of fully gear-coupled robot |
Junxia JIANG1( ),Xiaoou ZHONG1,Lincan LV1,Jianliang LAI2,Dingcan JIN2 |
1. School of Mechanical Engineering, Zhejiang University, Hangzhou 310058, China 2. Hangzhou Jingye Intelligent Technology Limited Company, Hangzhou 310051, China |
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Abstract The robot’s structure and transmission principles were analyzed given the characteristics of long gear transmission chains and high reverse frequency in fully gear-coupled robots. Theoretical modeling of gear backlash and a three-dimensional tolerance simulation analysis method were proposed to reduce the impact of backlash on the transmission accuracy of robots. The theoretical modeling and the tolerance simulation analysis of gear backlash were conducted for the cylindrical gear mechanism at the drive end. The two results were consistent. An equivalent backlash modeling method that equivalents the bevel gear pair as a hypothetical cylindrical gear pair was proposed for the bevel gear mechanism in joints, and the theoretical modeling analysis result accorded with the tolerance simulation analysis results. The end error of the robot was calculated by taking the robot shoulder joint swing transmission chain as the analysis object. The calculation method of bevel gear backlash and the motor angle compensation method were proposed to reduce gear backlash and the return error of the transmission chain caused by the gear backlash. The effectiveness of this compensation method was validated through experiment.
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Received: 12 August 2023
Published: 23 July 2024
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Fund: 2022年度浙江省科技计划资助项目(2022C01054);浙江大学机器人研究院自主科研项目资金资助项目. |
全齿轮耦合机器人齿侧间隙建模与公差仿真
鉴于全齿轮耦合机器人齿轮传动链长、反转频率高的特点,分析机器人的结构和传动原理. 为了减小侧隙对机器人传动精度的影响,提出齿侧间隙理论建模及三维公差仿真分析方法. 针对驱动端的圆柱齿轮机构,对齿侧间隙进行理论建模和公差仿真分析,两者相吻合. 针对关节处的圆锥齿轮机构,提出将圆锥齿轮副等效为假想圆柱齿轮副的侧隙建模方法,与公差仿真分析结果吻合. 以机器人肩关节偏摆传动链为分析对象计算机器人末端误差,为了降低齿侧间隙及其导致的传动链回程误差,提出圆锥齿轮加垫的计算方法和电机转角补偿方法,通过实验验证该补偿方法的有效性.
关键词:
全齿轮耦合机器人,
齿侧间隙,
圆柱齿轮机构,
圆锥齿轮机构,
公差仿真
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|
[1] |
金丁灿, 蒋君侠, 来建良, 等 后处理全齿轮传动机械臂的设计[J]. 浙江大学学报: 工学版, 2022, 56 (5): 864- 872 JIN Dingcan, JIANG Junxia, LAI Jianliang, et al Design of gearing chain-based manipulator for post-processing[J]. Journal of Zhejiang University: Engineering Science, 2022, 56 (5): 864- 872
|
|
|
[2] |
JIANG J X, DONG Q, LI Y, et al A study on the stiffness of the end of the suspended master-slave remote control manipulator[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2022, 44 (10): 483
doi: 10.1007/s40430-022-03774-7
|
|
|
[3] |
张磊磊, 范元勋 齿轮侧隙对齿轮传动精度的影响分析[J]. 机床与液压, 2017, 45 (17): 114- 116 ZHANG Leilei, FAN Yuanxun Analysis on influence of gear backlash on gear transmission accuracy[J]. Machine Tool and Hydraulics, 2017, 45 (17): 114- 116
|
|
|
[4] |
陈文华, 朱海峰, 樊晓燕 齿轮系统传动误差的蒙特卡洛模拟分析[J]. 仪器仪表学报, 2004, (4): 435- 437 CHEN Wenhua, ZHU Haifeng, FAN Xiaoyan Monte-carlo simulation analysis of transmission error for gear drive systems[J]. Chinese Journal of Scientific Instrument, 2004, (4): 435- 437
doi: 10.3321/j.issn:0254-3087.2004.04.005
|
|
|
[5] |
孙涛, 程亚强 基于CETOL的含齿侧间隙的齿轮系统尺寸链及动力学分析[J]. 机械传动, 2015, 39 (10): 86- 89 SUN Tao, CHENG Yaqiang Dimensional chain and dynamics analysis of the gear system with backlash based on CETOL[J]. Journal of Mechanical Transmission, 2015, 39 (10): 86- 89
|
|
|
[6] |
王光建, 周磊, 邹帅东 基于双齿面传动误差的侧隙连续测量与预测[J]. 工程科学学报, 2020, 42 (8): 1055- 1064 WANG Guangjian, ZHOU Lei, ZOU Shuaidong Measurement and prediction of backlash based on two-sided transmission error[J]. Chinese Journal of Engineering, 2020, 42 (8): 1055- 1064
|
|
|
[7] |
YANG Q, LIU T, WU X, et al Gear backlash detection and evaluation based on current characteristic extraction and selection[J]. IEEE Access, 2020, 8: 107161- 107176
doi: 10.1109/ACCESS.2020.2999478
|
|
|
[8] |
GIOVANNITTI E, NABAVI S, SQUILLERO G, et al A virtual sensor for backlash in robotic manipulators[J]. Journal of Intelligent Manufacturing, 2022, 33 (7): 1921- 1937
doi: 10.1007/s10845-022-01934-z
|
|
|
[9] |
安凯 关节齿隙对空间机械臂末端定位精度的影响[J]. 兵工学报, 2014, 35 (8): 1301- 1307 AN Kai Effect of gear backlash on positioning precision of manipulator end-effectors[J]. Acta Armamentarii, 2014, 35 (8): 1301- 1307
doi: 10.3969/j.issn.1000-1093.2014.08.025
|
|
|
[10] |
GUIDA R, RAVIOLA A, MIGLIORE D F, et al. Simulation of the effects of backlash on the performance of a collaborative robot: a preliminary case study [C]// International Conference on Robotics in Alpe-Adria Danube Region. Cham: Springer, 2022: 28-35.
|
|
|
[11] |
杨政, 尚建忠, 罗自荣, 等 扭簧加载双片齿轮消隙机构综合啮合刚度[J]. 机械工程学报, 2013, 49 (1): 23- 30 YANG Zheng, SHANG Jianzhong, LUO Zirong, et al Research on synthesis meshing stiffness of torsional spring-loaded double-gear anti-backlash mechanism[J]. China Mechanical Engineering, 2013, 49 (1): 23- 30
doi: 10.3901/JME.2013.01.023
|
|
|
[12] |
马伯渊, 李志武 弹簧消隙齿轮传动链回差分析估算[J]. 机械设计, 2001, 6 (6): 40- 42 MA Boyuan, LI Zhiwu Return difference analysis and estimation of spring anti backlash gear transmission chain[J]. Mechanical Design, 2001, 6 (6): 40- 42
|
|
|
[13] |
任海鹏, 何斌 双电机驱动机床进给系统消隙控制[J]. 电机与控制学报, 2014, 18 (3): 60- 66 REN Haipeng, HE Bin Anti-backlash control of machine tool feed system driven by dual-motors[J]. Electric Machines and Control, 2014, 18 (3): 60- 66
doi: 10.3969/j.issn.1007-449X.2014.03.010
|
|
|
[14] |
ZHANG L, LIAO H, FAN D, et al Design optimization analysis of an anti-backlash geared servo system using a mechanical resonance simulation and experiment[J]. Mechanical Sciences, 2021, 12 (1): 305- 319
doi: 10.5194/ms-12-305-2021
|
|
|
[15] |
GAVGANI A M, SORNIOTTI A, DOHERTY J, et al Optimal gearshift control for a novel hybrid electric drivetrain[J]. Mechanism and Machine Theory, 2016, 105: 352- 368
doi: 10.1016/j.mechmachtheory.2016.06.016
|
|
|
[16] |
YU L, WANG G, ZOU S The experimental research on gear eccentricity error of backlash-compensation gear device based on transmission error[J]. International Journal of Precision Engineering and Manufacturing, 2018, 19 (1): 5- 12
doi: 10.1007/s12541-018-0001-7
|
|
|
[17] |
江勇, 张伟, 刘晓源, 等 双电机消隙技术在串联机械臂中的仿真与应用[J]. 中国机械工程, 2020, 31 (16): 1991- 1997 JIANG Yong, ZHANG Wei, LIU Xiaoyuan, et al Simulation and application of anti-backlash technical with dual-motor in tandem manipulators[J]. China Mechanical Engineering, 2020, 31 (16): 1991- 1997
|
|
|
[18] |
黄家贤. 机构精确度[M]. 西安: 西安电子科技大学出版社, 1994: 87-96.
|
|
|
[19] |
毛英泰. 误差理论与精度分析[M]. 北京: 国防工业出版社, 1982: 228-239.
|
|
|
[20] |
李聚波, 贺红霞, 张洛平, 等 齿轮传动精度的分析与计算[J]. 煤矿机械, 2006, (7): 18- 20 LI Jubo, HE Hongxia, ZHANG Luoping, et al Analysis and calculation of precision of gear transmission[J]. Coal Mine Machinery, 2006, (7): 18- 20
doi: 10.3969/j.issn.1003-0794.2006.07.008
|
|
|
[21] |
王龙宝. 齿轮刚度计算及其有限元分析[D]. 镇江: 江苏大学, 2009. WANG Longbao. Calculation and finite element analyses of gears mesh stiffness [D]. Zhenjiang: Jiangsu University, 2009.
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