用工具斜齿条法加工斜齿非圆齿轮的啮合理论模型

MESHING THEORY ANALYSIS MODEL FOR THE MANUFACTURING OF HELICAL NONCIRCULAR GEAR BY THE HELICAL TOOLING RACK GENERATING METHOD

介绍了斜齿非圆齿轮齿廓的形成原理,针对用工具斜齿条法加工斜齿非圆齿轮动轴线变传动比复杂的运动几何关系,建立了其理论研究的数学模型,对斜齿非圆齿轮齿廓端面截形、节曲柱面截形及瞬时接触线进行了分析。论证了斜齿非圆齿轮齿廓为直纹面,其节曲柱面截形是变导程等螺旋角的螺旋线,平行轴斜齿非圆齿轮传动的瞬时接触线是直线。

The generating principle for the tooth profile of helical noncircular gear is introduced. By using the kinematics method, the meshing theory analysis model for the manufacturing of helical noncircular gear with movable axes and variable-transmission-ratio is established. Numerical analysis for the transverse profile, the section shape of tooth at the centrode cylinder and the contact line of the work gear are accomplished. It is proved that the tooth profile of helical noncircular gear is a ruled surface, that the section shape at the centrode cylinder (tooth trace) is a helix with constant angle and that the contact line in the paralled helical noncircular gear drive is a straight line.