【作者】 王海涛；

【导师】 赵亚平；

【作者基本信息】 东北大学 ， 机械工程（专业学位）， 2017， 硕士

【摘要】 包络型锥蜗杆传动与传统Archemides型锥蜗杆传动相比较,具备传动比大,结构紧凑,啮合的齿对数多,重合度大,传动更趋平稳等优点。包络锥蜗杆传动若能研制成功,则锥蜗杆和锥蜗轮都可以磨削齿面,因而有希望实现锥蜗轮材料的以钢代铜,针对更优越的包络锥蜗杆传动的研究还没有很好地开展起来。相关研究表明,包络锥蜗杆传动的研究,当前还处在萌芽阶段,因此需要不断改进和完善。本文针对平面包络锥蜗杆产形母面,根据齿轮啮合理论,计算齿面的第一类基本量和第二类基本量,列写包络锥蜗杆螺旋面方程,导出其单位法向量,得到包络锥蜗杆切齿啮合的啮合界线函数和曲率干涉界线函数,推导出包络锥蜗杆螺旋面曲率参数的计算公式。针对蜗杆包络蜗轮,根据齿轮啮合理论,推导出相应的包络锥蜗轮齿面方程,得到其齿面的单位法向量。求平面包络锥蜗轮切齿啮合的两类界线函数,建立包络锥蜗轮齿面曲率参数的计算公式,得到包络锥蜗杆副的诱导主曲率和滑动角。根据研究结果,进行包络锥蜗杆副的计算机辅助啮合分析。分析包络锥蜗杆的工作长度、包络锥蜗轮齿面共轭区的范围及包络锥蜗杆副瞬时接触线的分布规律等全局啮合特性。同时重点分析,瞬时接触线上各啮合点处包络锥蜗杆副的诱导主曲率、和滑动角等局部啮合特性。探索包络锥蜗杆副的设计参数和加工工艺参数对其全局与局部啮合特性的影响规律,总结出包络锥蜗杆传动的合理几何设计方法。利用齿轮啮合理论知识推导锥蜗杆和锥蜗轮齿面数学方程及锥蜗杆传动副共轭齿廓面方程,提出了齿面的形成方法。在MATLAB中绘制出锥蜗杆的齿面形状、锥蜗杆副齿面共轭区范围及锥蜗杆传动副瞬时接触线分布情况。对锥蜗杆传动副参数设计进行研究并根据啮合分析,给出原始参数的最优选择范围。结果表明,平面包络锥蜗杆副传动具备一系列优良的啮合特性。并且平面产形砂轮的参数可调,这为更好改善锥蜗杆副的啮合性能,提供了有利条件。更多还原

【Abstract】 Compared with traditional Archemides conical worm drive,the enveloping worm drive has the advantages of large transmission ratio,compact structure,large number of teeth meshing,large coincidence degree and smooth transmission.If enveloped worm drive could be manufactured successfully,the tooth surface of cone and cone of the worm wheel can be grind,thus there is a hope to change the material of the cone worm wheel from copper to steel,for more excellent study of the cone worm transmission has not to be started up very well.Related research shows that the study of enveloping worm drive is still in the embryonic stage,so it needs to be improved and perfected.According to the theory of gear meshing,the basic and the basic quantities of the first kind of tooth surfaces are calculated.The equations of the enveloping helical worm helix are written out,and the unit normal vector is derived.The meshing boundary function and the curvature interference boundary function of the meshing engagement of the enveloping worm worm tooth,and deduces the calculation formula of the curvature parameter of the spiral surface of the enveloping worm.According to the gear meshing theory,the envelope equation of the enveloping worm wheel is deduced and the unit normal vector of the tooth surface is obtained.The formulas of the curvature parameters of the enveloping worm gear tooth surface are established,and the induced principal curvature and sliding angle of the enveloping worm pair are obtained.According to the results of the study,the computer-aided meshing analysis of the enveloping worms was carried out.The working length of the enveloping worm,the range of the conjugate region of the enveloping worm tooth and the distribution of the instantaneous contact line of the enveloping worm are analyzed.At the same time,the main meshing characteristics such as the induced principal curvature and the sliding angle of the conical worm pair at the meshing point of the instantaneous contact line are analyzed.The influence of design parameters and processing parameters on the global and local meshing characteristics of the conical worm worms are investigated,and a reasonable geometric design method for the enveloping worm drive is summarized.The mathematical equations of conical worm and conical worm gear tooth surface and the conjugate tooth profile equation of conical worm drive are deduced by using the knowledge of gear meshing theory,and the formation method of tooth surface is put forward.The tooth shape of the conical worm,the conjugate area of the conical worm’s tooth surface and the instantaneous contact line distribution of the conical worm’s transmission are drawn in MATLAB.The optimal design parameters of the original parameters are given according to the meshing analysis.The results show that the planar enveloping worm drive has a series of excellent meshing characteristics.And the parameters of the flat grinding wheel are adjustable,which provides a vast space for further improving the performance of the conical worm pair.更多还原