渐开线圆柱蜗杆与斜齿轮传动副接触特性分析

针对渐开线圆柱蜗杆与斜齿轮传动副齿面接触问题,基于空间啮合理论和微分几何,建立传动副共轭齿面接触轨迹及瞬时接触椭圆的数学模型。以某汽车座椅水平调节器中的渐开线圆柱蜗杆与斜齿轮传动副为例,利用数值分析方法对传动副进行齿面接触模拟分析,并进行了传动副齿面接触实验。分析结果表明:调整传动副传动比、法向压力角、法向模数和螺旋角可有效控制接触区域位置和接触面积大小。研究结果对渐开线圆柱蜗杆斜齿轮传动副的设计制造有理论指导意义。

Contact characteristics analysis of involute cylindrical worm and helical gear transmission

Aimed at the solution of the contact problem in the involute cylindrical worm and the helical gear transmission pair, a mathematical model of conjugate tooth surface contact geometry of the involute cylindrical worm and the helical gear was established based on the gear geometry theory and the differential geometry. Taking a transmission pair equipped in a type of horizon drive machine as an example, we simulated the tooth surface contact of the worm helical gear transmission pair with numerical analysis and carried out the experiment of tooth surface contact. The analysis results show that the contact position and contact area can be effectively controlled by adjusting the transmission parameters such as transmission ratio, normal pressure angle, normal modulus and helix angle and they will have a theoretical significance for the design and manufacture of the cylindrical worm and the helical gear transmission pair.