基于精确齿面建模的ZA蜗杆蜗轮有限元接触分析

摘要

To make research on contact stress between worm and worm gear under different circumstances, and the relationship between the torsion angle of the worm and the driving torque,solid models with precise tooth surface of a ZA worm and worm gear were established based on tooth surface equations. Using these models, finite element analysis of contact was performed with ANSYS at different meshing locations under the same load and at the same meshing location under different loads, and the contact stress distribution on different meshing teeth and the load distribution among them were studied in a meshing cycle. The analysis results show that the contact stress calculated by the theoretical formula is quite smaller than the actual maximum, and that a power function is discovered between the driving torque and the torsion angle of the worm caused by elastic deformation of contact teeth, which can be used in precise angle control of the worm gear.%为了研究不同情况下蜗杆蜗轮间的接触应力和蜗杆扭转角与驱动力矩之间的关系,根据齿面方程建立具有精确齿面的ZA蜗杆蜗轮实体模型,利用ANSYS对此模型在同一载荷不同啮合位置和同一啮合位置不同载荷条件下进行有限元接触分析,研究在一个轮齿啮合周期内,各啮合齿对的接触应力分布和载荷在不同齿对上的分配情况.分析结果表明:理论接触应力计算公式给出的结果远小于实际的最大接触应力,同时得到由接触齿对弹性变形引起的蜗杆扭转角与驱动力矩之间的幂函数关系,可以用于蜗轮转角的精确控制.