面齿轮啮合过程中齿面接触应力分布研究

利用微分几何学原理推导了面齿轮传动的齿面主曲率与主方向,由此得出面齿轮传动中诱导法曲率的2个主值。分析了面齿轮传动中的主要参数对曲率的影响,并根据面齿轮接触点主曲率和两弹性体弹性系数与接触椭圆区域的关系,确定了面齿轮啮合的接触域;同时,分析了面齿轮在理想啮合状态下的齿面接触压力的分布和变化,并进行了仿真分析。研究结果表明：面齿轮啮合过程中,齿面接触应力沿齿宽方向,靠近边缘两端的应力较大,靠近外边缘的应力最大,而齿面中部的应力最小。因此,面齿轮传动设计中应考虑齿面修型,使面齿轮啮合的接触点靠近齿面中部,以提高面齿轮的承载能力,改善轮齿啮入啮出时的冲击。

Research on the Distribution of Face-Gear Tooth Surface Contact Stressin Meshing Process

By means of differential geometry principle, derives the main curvature and main direction of the tooth surface of face-gear drive, and obtains two principal values of the induced normal curvature in the face-gear drive. Analyses the impacts of main parameters on the curvature in the face-gear drive, and according to the relations of main curvature on contact point and elastic coefficient of two elastomers to the contact ellipse area, determines the face-gear meshing contact area; at the same time, analyses the tooth surface contact pressure distribution and variation of face-gear driving in the ideal meshing condition and also makes a simulation analysis. The results show that: in the face-gear meshing process, the tooth surface contact stress along the tooth width direction becomes larger close to the edge at both ends and maximum near the outer edge, while minimum in the center of the tooth surface. Therefore, the face-gear drive should consider the tooth surface modification, make the contact point of face-gear meshing near the middle of the tooth surface, in order to improve the carrying capacity of the face-gear and reduce the impact when the tooth meshing in and out.