平面包络内啮合蜗杆传动关键参数对接触区域的影响分析

为了研究关键设计参数对平面包络内啮合蜗杆传动接触性能及承载能力的影响。基于齿轮啮合原理，构建平面包络内啮合蜗杆传动的空间齿面接触线方程，利用数值计算方法求得空间齿面接触线，并将其映射到蜗轮齿面，通过分析中心距、传动比、母平面倾角、蜗轮回转轴倾角、蜗轮转角、蜗杆分度圆系数、主基圆系数等不同参数对蜗杆齿面接触区域的分布情况，找出合理的设计参数范围，此外，根据初步分析结果，选取一组较为合理参数生成了平面包络内啮合蜗杆传动的三维模型。研究表明，传动比、母平面倾角、蜗轮转角对平面包络内啮合蜗杆传动的接触区域有较大影响，母平面倾角在18°~36°、蜗轮回转中心轴倾角在30°~54°、蜗轮转角在90°~138°之间取值时，平面包络内啮合蜗杆传动的具有较好的接触区域。研究结果为平面包络内啮合蜗杆传动的后续研究奠定了理论基础。

Analyze the Influence of Key Parameters on the Contact Zone for the Planar Enveloping Internal-meshing Worm Drive

To study the influence of key parameters on the contact characteristic and load bearing capacity of planar enveloping internal-meshing worm drive, contact line function of the planar enveloping internal-meshing worm drive is build based on the gearing meshing theory, also, the contact line calculated by Matlab software are shadowed on the teeth of worm wheel, and then center distance、transmission ratio、axial crossing angle between the worm and the worm wheel、inclination angle of the generating plane、pitch circle coefficient and the main base circle coefficient are used to figure out the ideal design parameters for the planar enveloping internal-meshing worm drive using the tooth contact analyze method. Furthermore, one three-dimension model of the planar enveloping internal-meshing worm drive is generated by using the above ideal design parameters. This study shows that the transmission ratio、inclination angle of the generating plane and rotating angles of the worm wheel has much more influences on the contact zone for the planar enveloping internal-meshing worm drive. However, the inclination angle of the generating plane is between 18°-36°, the axial crossing angle between the worm and the worm wheel is between 30°-54°, the rotating angles of worm wheel is between 90°-138°, planar enveloping internal-meshing worm drive has much better contact characteristic. This study laid the foundation for further theory and practice study on the planar enveloping internal-meshing worm drive.