基于确定接触迹线的点接触齿轮副构建及实验

提出一种点接触齿轮副，在已知齿面上根据设计需要确定接触迹线，推导其共轭曲线，将齿廓曲线沿共轭曲线扫掠后形成轮齿齿面，构建与已知齿轮正确啮合的配对齿轮，并推导该齿轮副的滑动系数计算方法；以渐开线内齿轮为已知齿轮，设计以抛物线齿面作为轮齿齿面的配对齿轮，进行齿轮样机制造和效率实验研究。结果表明，该齿轮副在啮合过程中时刻保持点接触状态，啮合点沿着理论接触迹线移动，与理论分析一致；滑动系数的大小取决于齿轮两端选取啮入点和啮出点所对应的渐开线参数值范围；实验后齿轮副实际接触迹线与理论接触迹线一致，且效率稳定在97.2%~98.5%。 

Construction and experiment of point contact gear pair with certain contact trace

A type of point contact gear pair was proposed.Based on a given tooth surface，the flexible contact trace was selected according to the design requirements，and the conjugated curve was derived.A tooth surface was established by sweeping along the conjugated curve，and the meshing pair gear was constructed.The sliding coefficient calculation method of the this gear pair was studied.Taking the involute internal gear as the given tooth surface，the parabolic tooth surface was designed as the matching gear.The gear pair was manufactured and efficiency experiment was carried out.The results showed that during the whole meshing process，the gear pair kept point contact state，and the meshing point moved along the theoretical contact trace，which was consistent with the theoretical analysis.The variation range of the sliding coefficient mainly depended on the involute parameter values at the approach point and the recess point.After the experiment，the actual contact trace was consistent with the theoretical contact trace，and the efficiency was kept stable within a range from 97.2% to 98.5%.