相对位置误差对双重螺旋法加工齿轮副接触性能的影响
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摘要
为预控双重螺旋法加工螺旋锥齿轮的啮合性能,研究了相对位置误差对双重螺旋法加工齿轮副接触性能的影响。根据螺旋锥齿轮副啮合接触原理,通过数值计算得到齿面离散啮合点分布位置,采用有限元法对不同相对位置误差条件下的齿轮副进行齿面啮合加载接触分析,得到了在不同相对位置误差条件下齿轮副传动误差、接触区位置及形状、法向接触力。结果表明,螺旋锥齿轮的传动误差和法向接触力均对小轮安装距误差较为敏感。通过滚检实验得到了齿面接触区位置和接触压力,验证了有限元分析结果。
The paper studies the influence of contact performance of spiral bevel gears with relative position errors to pre-control the meshing performance of the spiral bevel gears manufactured with the duplex helical method.According to the meshing principle of the spiral bevel gears and numerical calculation,the paper obtained the distribution of discrete mesh points. The finite element loading contact analysis of spiral bevel gear pairs is conducted in different relative positional error conditions,and the rules for changing a single tooth's normal contact force in the meshing period are gained. The results show that the mounting distance error of a pinion is more sensitive than that of other transmission devices and of normal contact force. The experimental study of the influence of spiral bevel gears on the tooth contact position and contact pressure is conducted to verify the reliability of the finite element analysis.
The paper studies the influence of contact performance of spiral bevel gears with relative position errors to pre-control the meshing performance of the spiral bevel gears manufactured with the duplex helical method.According to the meshing principle of the spiral bevel gears and numerical calculation,the paper obtained the distribution of discrete mesh points. The finite element loading contact analysis of spiral bevel gear pairs is conducted in different relative positional error conditions,and the rules for changing a single tooth's normal contact force in the meshing period are gained. The results show that the mounting distance error of a pinion is more sensitive than that of other transmission devices and of normal contact force. The experimental study of the influence of spiral bevel gears on the tooth contact position and contact pressure is conducted to verify the reliability of the finite element analysis.
引文
[1]汪中厚,余剑,张兴林.安装误差对弧齿锥齿轮齿面接触轨迹影响的分析研究[J].机械传动,2014,38(2):21-24Wang Z H,Yu J,Zhang X L.Analysis and study on the influence of installation error on spiral bevel gear tooth surface contact trajectory[J].Journal of Mechanical Transmission,2014,38(2):21-24(in Chinese)
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[6]Simon V.Computer simulation of tooth contact analysis of mismatched spiral bevel gears[J].Mechanism and Machine Theory,2007,42(3):365-381
[7]Simon V.Influence of tooth errors and misalignments on tooth contact in spiral bevel gears[J].Mechanism and Machine Theory,2008,43(10):1253-1267
[8]Simon V.The influence of misalignments on mesh performances of hypoid gears[J].Mechanism and Machine Theory,1998,33(8):1277-1291
[9]唐进元,卢延峰,周超.有误差的螺旋锥齿轮传动接触分析[J].机械工程学报,2008,44(7):16-23Tang J Y,Lu Y F,Zhou C.Error tooth contact analysis of spiral bevel gears transmission[J].Chinese Journal of Mechanical Engineering,2008,44(7):16-23(in Chinese)
[10]唐进元,雷国伟,杜晋,等.螺旋锥齿轮安装误差敏感性与容差性研究[J].航空动力学报,2009,24(8):1878-1885Tang J Y,Lei G W,Du J,et al.Research on alignment error sensitivity and tolerance limit analysis of spiral bevel gears[J].Journal of Aerospace Power,2009,24(8):1878-1885(in Chinese)
[11]Stadtfeld H J.Handbook of bevel and hypoid gear[M].New York,USA:Rochester Institute of Technology,1993
[12]Stadtfeld H J.Gleason bevel gear technology:Basics of gear engineering and modern manufacturing methods for angular transmissions[M].New York,USA:Gleason Works,2014
[13]朱孝录.齿轮传动设计手册[M].北京:化学工业出版社,2005Zhu X L.Handbook of gear design[M].Beijing:Chemical Industry Press,2005(in Chinese)
[14]曾韬.螺旋锥齿轮设计与加工[M].哈尔滨:哈尔滨工业大学出版社,1989Zeng T.Design and manufacture of spiral bevel gears[M].Harbin:Harbin Institute of Technology Press,1989(in Chinese)
[15]王成.弧齿锥齿轮副安装误差调整综述[J].制造技术与机床,2015,(10):24-27Wang C.The research progress of installation errors adjustment of spiral bevel gear[J].Manufacturing Technology&Machine Tool,2015,(10):24-27(in Chinese)
[2]郑昌启,黄昌华,吕传贵.螺旋锥齿轮轮齿加载接触分析计算原理[J].机械工程学报,1993,29(4):50-54,81Zheng C Q,Huang C H,LüC G.Computational principle of loaded tooth contact analysis of spiral gears[J].Chinese Journal of Mechanical Engineering,1993,29(4):50-54,81(in Chinese)
[3]王延忠,周云飞,周济,等.考虑轮齿制造误差的螺旋锥齿轮加载接触分析[J].机械科学与技术,2002,21(2):224-227Wang Y Z,Zhou Y F,Zhou J,et al.Load contact analysis of bevel gear tooth based on tooth manufacture error[J].Mechanical Science and Technology,2002,21(2):224-227(in Chinese)
[4]刘光磊,张瑞庭,赵宁,等.安装误差对航空弧齿锥齿轮传动误差曲线的影响分析[J].航空发动机,2012,38(2):32-35Liu G L,Zhang R T,Zhao N,et al.Effect of installation error on transmission error curve for aero spiral bevel gears[J].Aeroengine,2012,38(2):32-35(in Chinese)
[5]刘光磊,张瑞庭,赵宁,等.一种弧齿锥齿轮安装误差变动范围的确定方法[J].机械工程学报,2012,48(3):34-40Liu G L,Zhang R T,Zhao N,et al.An approach to determine installation errors of spiral bevel gears[J].Journal of Mechanical Engineering,2012,48(3):34-40(in Chinese)
[6]Simon V.Computer simulation of tooth contact analysis of mismatched spiral bevel gears[J].Mechanism and Machine Theory,2007,42(3):365-381
[7]Simon V.Influence of tooth errors and misalignments on tooth contact in spiral bevel gears[J].Mechanism and Machine Theory,2008,43(10):1253-1267
[8]Simon V.The influence of misalignments on mesh performances of hypoid gears[J].Mechanism and Machine Theory,1998,33(8):1277-1291
[9]唐进元,卢延峰,周超.有误差的螺旋锥齿轮传动接触分析[J].机械工程学报,2008,44(7):16-23Tang J Y,Lu Y F,Zhou C.Error tooth contact analysis of spiral bevel gears transmission[J].Chinese Journal of Mechanical Engineering,2008,44(7):16-23(in Chinese)
[10]唐进元,雷国伟,杜晋,等.螺旋锥齿轮安装误差敏感性与容差性研究[J].航空动力学报,2009,24(8):1878-1885Tang J Y,Lei G W,Du J,et al.Research on alignment error sensitivity and tolerance limit analysis of spiral bevel gears[J].Journal of Aerospace Power,2009,24(8):1878-1885(in Chinese)
[11]Stadtfeld H J.Handbook of bevel and hypoid gear[M].New York,USA:Rochester Institute of Technology,1993
[12]Stadtfeld H J.Gleason bevel gear technology:Basics of gear engineering and modern manufacturing methods for angular transmissions[M].New York,USA:Gleason Works,2014
[13]朱孝录.齿轮传动设计手册[M].北京:化学工业出版社,2005Zhu X L.Handbook of gear design[M].Beijing:Chemical Industry Press,2005(in Chinese)
[14]曾韬.螺旋锥齿轮设计与加工[M].哈尔滨:哈尔滨工业大学出版社,1989Zeng T.Design and manufacture of spiral bevel gears[M].Harbin:Harbin Institute of Technology Press,1989(in Chinese)
[15]王成.弧齿锥齿轮副安装误差调整综述[J].制造技术与机床,2015,(10):24-27Wang C.The research progress of installation errors adjustment of spiral bevel gear[J].Manufacturing Technology&Machine Tool,2015,(10):24-27(in Chinese)