行星滚柱丝杠副刚度特性分析及试验验证

详细信息    查看全文 | 推荐本文 |

英文篇名：Analysis of planetary roller screw axial stiffness and experiment study 作者：郭嘉楠 ; 何鹏 ; 黄洪雁 ; 刘占生 ; 黄玉平 ; 丁伟涛 英文作者：GUO Jianan;HE peng;HUANG Hongyan;LIU Zhansheng;HUANG Yuping;DING Weitao;School of Energy Science and Engineering,Harbin Institute of Technology;Beijing Research Institute of Precise Mechanical and Electronic Control Equipment; 关键词：行星滚柱丝杠副 ; 传动机构 ; 螺纹接触 ; 微分几何 ; 接触刚度 ; 轴向刚度 ; 赫兹接触理论 英文关键词：planetary roller screw;;transmission mechanism;;thread contact;;differential geometry;;contact stiffness;;axial stiffness;;Hertz contact theory 中文刊名：HEBG 英文刊名：Journal of Harbin Engineering University 机构：哈尔滨工业大学能源学院;北京精密机电控制设备研究所; 出版日期：2018-12-21 10:03 出版单位：哈尔滨工程大学学报 年：2019 期：v.40;No.271 基金：国家自然科学基金项目(11602071) 语种：中文; 页：HEBG201905016 页数：7 CN：05 ISSN：23-1390/U 分类号：107-113

摘要

为了研究行星滚柱丝杠刚度特性对舵机的影响,本文建立了行星滚柱丝杠的刚度模型。采用微分几何方法描述行星滚柱丝杠非标准螺纹的空间曲面特征,基于赫兹接触理论建立了一种行星滚柱丝杠刚度模型;分析了轴向负载、螺纹接触角和滚柱数量对行星滚柱丝杠轴向刚度的影响规律,并搭建了行星滚柱丝杠刚度测试试验台,开展了轴向刚度验证试验。研究结果表明:行星滚柱丝杠轴向刚度随着接触角和滚柱数量的增大而增大;在相同负载条件下,接触角度和滚柱数量越大,轴向刚度增加速度越快。试验结果与本文模型的计算结果之间的最大误差为8. 3%,验证了本文所建立的行星滚柱丝杠刚度模型。
        To solve the axial stiffness precision problem of planetary roller screw in servo motor systems,a research for thread contact stiffness,thread stiffness and body stiffness is conducted and a new planetary roller screw stiffness model was established which was based on differential geometry and Hertz contact theory. The effects of load,contact angle and roller number on stiffness are analyzed. The stiffness will increase when the contact angle and roller number increase. Under the same load condition,the growth of stiffness will increase with the increase of contact angle and roller number. A planetary roller screw static stiffness experiment is established,the maximum error between the experiment results and the model presented in this paper is 8.3%. The experiment result verifies the accuracy of the model presented in this paper.

引文

[1]JONES M H,VELINSKY S A.Kinematics of roller migration in the planetary roller screw mechanism[J].Journal of mechanical design,2012,134(6):061006.
    [2]HOJJAT Y,AGHELI M M.A comprehensive study on capabilities and limitations of roller-screw with emphasis on slip tendency[J].Mechanism and machine theory,2009,44(10):1889-1899.
    [3]VMOROZOV V V,ZHDANOV A V.Influence of the axial angle of screw profiles on the load capacity of roller-screw mechanisms[J].Russian engineering research,2015,35(7):477-480.
    [4]ABEVI F,DAIDIE A,CHAUSSUMIER M,et al.Static load distribution and axial stiffness in a planetary roller screw mechanism[J].Journal of mechanical design,2016,138(1):012301.
    [5]AUREGAN G,FRIDRICI V,KAPSA P,et al.Experimental simulation of rolling-sliding contact for application to planetary roller screw mechanism[J].Wear,2015,332-333:1176-1184.
    [6]杨家军,杨保哲,朱继生,等.预紧力对行星滚柱丝杠轴向变形及摩擦的影响[J].机械传动,2011,35(12):16-18,22.YANG Jiajun,YANG Baozhe,ZHU Jisheng,et al.Effect of preload on axial deformation and friction of planetary roller screw[J].Journal of mechanical transmission,2011,35(12):16-18,22.
    [7]SANDU S,BIBOULET N,NELIAS D,et al.An efficient method for analyzing the roller screw thread geometry[J].Mechanism and machine theory,2018,126:243-264.
    [8]MOROZOV V V,PANYUKHIN V I,ZHDANOV A V.Increasing the load capacity and rigidity of roller-screw mechanisms by adjusting the screw surfaces[J].Russian engineering research,2016,36(5):345-351.
    [9]VELINSKY S A,CHU B,LASKY T A.Kinematics and efficiency analysis of the planetary roller screw mechanism[J].Journal of mechanical design,2008,131(1):011016.
    [10]徐强,王水铭,赵国平,等.PWG型差动丝杠摩擦转矩分析与效率求解[J].现代制造工程,2016(5):138-142,62.XU Qiang,WANG Shuiming,ZHAO Guoping,et al.The analysis of friction torque and calculation of efficiency of PWG planetary roller screw[J].Modern manufacturing engineering,2016(5):138-142,62.
    [11]靳谦忠,杨家军,孙健利.滚珠丝杠副和行星式滚柱丝杠副静刚度的比较研究[J].机械科学与技术,1999,18(2):230-232.JIN Qianzhong,YANG Jiajun,SUN Jianli.The comparative research on the static stiffness of ball screw and planetery roller screw[J].Mechanical science and technology,1999,18(2):230-232.
    [12]靳谦忠,杨家军,孙健利.行星式滚柱丝杠副的摩擦机理研究[J].华中理工大学学报,1998,26(6):82-83.JIN Qianzhong,YANG Jiajun,SUN Jianli.The research on friction mechanism of the planetary roller screw[J].Journal of Huazhong University of Science and Technology,1998,26(6):82-83,96.
    [13]杨家军,韦振兴,朱继生,等.行星滚柱丝杠副载荷分布及刚度计算[J].华中科技大学学报(自然科学版),2011,39(4):1-4.YANG Jiajun,WEI Zhenxing,ZHU Jisheng,et al.Calculation of load distribution of planetary roller screws and static rigidity[J].Journal of Huazhong University of Science and Technology(Natural Science Edition),2011,39(4):1-4.
    [14]付晓军,刘更,马尚君,等.行星滚柱丝杠副螺旋曲面啮合机理研究[J].机械工程学报,2016,52(3):26-33.FU Xiaojun,LIU Geng,MA Shangjun,et al.Studies on meshing mechanism of helical surfaces in planetary roller screw mechanism[J].Journal of mechanical engineering,2016,52(3):26-33.
    [15]付晓军,刘更,马尚君,等.考虑零件偏斜的行星滚柱丝杠副啮合特性研究[J].机械工程学报,2017,53(3):25-33.FU Xiaojun,LIU Geng,MA Shangjun,et al.Meshing properties of planetary roller screw mechanism within misalignments[J].Journal of mechanical engineering,2017,53(3):25-33.
    [16]JONES M H,VELINSKY S A.Stiffness of the roller screw mechanism by the direct method[J].Mechanics based design of structures and machines:an international journal,2014,42(1):17-34.
    [17]梅向明,黄敬之.微分几何[M].3版.北京:高等教育出版社,2003.MEI Xiangming,HUANG Jingzhi.Differential geometry[M].3rd ed.Beijing:Higher Education Press,2003.
    [18]JOHNSON K L.接触力学[M].徐秉业,罗学富,刘信声,等译.北京:高等教育出版社,1992.JOHNSON K L.Contact mechanics[M].XU Bingye,LUOXuefu,LIU Xinsheng,et al.,trans.Beijing:Higher Education Press,1992.
    [19]YOUNG W C,BUDYNAS R G.Roark's formulas for stress and strain[M].New York:McGraw-Hill,1989.