交错轴渐开线锥形齿轮副啮合原理研究

基于空间啮合理论,在对共轭齿轮副与公共齿条之间啮合关系进行分析研究的基础上,推导了交错轴传动在不同布局形式下,齿轮副安装距、轴间夹角、中心距及公共齿条分度平面上齿线倾斜角等几何参数的计算公式,提出了保证安装参数的锥形齿轮设计方法,为交错轴传动渐开线锥形齿轮副的几何设计打下了理论基础。理论与试验结果表明,推导得到的计算公式,不仅适合于交错轴传动在各种布局形式下的锥形齿轮副设计,同样也适用于平行轴、相交轴等传动类型。最后,通过测试齿轮及实际产品的设计、加工,验证了该研究结果的正确性和实用性。

STUDY ON GEARING PRINCIPLE OF CROSSED-AXES CONICAL INVOLUTE GEARS

A group of formulae for the geometric parameters, such as the gear mounting distance, crossed axes angle, center distance, and the helix angle of tooth trace in reference plane of reference rack, of a crossed-axes gear drive of different arrangements are derived based on the analysis of the spatial mesh relationship between conjugate gears and their reference rack, and a set of mounting parameter guarantee design method for conical involute gear pairs with crossed axes is presented. The formulae can be applied not only to all of the possible independent forms of the crossed-axes gear drive, but also to the case of gearing with parallel axes and intersecting axes. As a result, any conical involute gears, which transmit rotational motion between two shafts in any relative positions, can be readily designed by means of this group of formulae. The design theory and methods are tested by the design and processing of several sets of crossed axes gears, and is also expected to be the theoretical foundation for further researching the design of conical involute gears.