倾斜式双滚子包络环面蜗杆传动几何特性分析  

Geometrical Characteristics Analysis of Non-Parallel Double-Roller Enveloping Hourglass Worm Gearing

作　　者：柳在鑫[1,2] 王进戈[1,2] 张均富[2] 

机构地区：[1]四川大学制造科学与工程学院,四川成都610035 [2]西华大学机械工程与自动化学院,四川成都610039

出　　处：《北京理工大学学报》2013年第5期459-464,共6页Transactions of Beijing Institute of Technology

基　　金：国家自然科学基金资助项目(50775190);四川省自然科学基金资助项目(12ZA284)

摘　　要：为消除环面蜗杆传动齿侧间隙,提出倾斜式双滚子包络环面蜗杆传动,采取双排滚子错位布置,且滚子轴线与蜗轮径向倾斜一定角度.阐述了倾斜式双滚子包络环面蜗杆传动的工作原理,依据空间齿轮啮合理论和微分几何理论,采用运动学法建立了蜗杆副的静态坐标系及活动坐标系,推导了该新型环面蜗杆齿面方程,并导出了该传动的蜗杆轴向截面齿廓方程、法向截面齿廓方程、一界函数、螺旋升角等几何特性相关的方程及计算公式,分析了滚柱半径R、滚柱偏距c2、倾斜角γ等啮合参数对蜗杆几何特性的影响.结果表明:该新型传动蜗杆喉部齿廓非常接近直线,蜗杆不会发生根切和齿顶变尖现象.要使该传动保持良好的几何特性,R不宜超过12mm,c2在5～9mm之间,γ在18°～25°之间.Non-parallel double-roller enveloping hourglass worm gearing was proposed to eliminate the backlash. Two rows of rollers were assigned to misplacement and there was a certain defection angle between the roller axis and the radial. The working principle was introduced. According to the theories of differential geometry and space engagement theory, the static and dynamic coordinate systems of worm gear pair were established. The tooth surface equations of worm were deduced. The formulas of tooth profile of axial cross sections, tooth profile of normal cross section, meshing limit function and helix angle of the non-parallel double- roller enveloping hourglass worm gearing were derived by means of the theory of differential geometry. The parameters of R,c2 and y which affected the geometrical properties of the worm were analyzed. The analyzed results indicate that the tooth profile of larynx is approximately straight line, and the tooth undercutting and pointed tooth on the worm are avoided. For effectively improving the geometrical properties of the non-parallel double-roller enveloping hourglass worm gearing, R should not be more than 12 mm, c2 should be controlled within 5 to 9 mm and γ be controlled within 18° to 25°.

关 键 词：无侧隙 双滚子 环面蜗杆传动 几何特性 

分 类 号：TH132.41[机械工程—机械制造及自动化]