关键词: 交错轴变比, 变比齿廓, 变比曲线, 数字建模, 传动稳定性, 数字设计方法

Abstract: To solve variable ratio tooth profile design problem of Rack and pinion variable ratio steering gear,a novel digital modeling method was proposed.The helical gear of variable ratio gear pair was taken as a set of intersection lines obtained by using countless planes perpendicular to the axis to cut the helical gear.Assuming there was a line through a point on the variable ratio tooth profile and parallel to the variable ratio rack,it would generate a series of interactions between this line and the corresponding intersection lines,and the point that the length coordinate value was the minimum of all intersections was a variable ratio tooth profile point.The mathematical models to solve the variable ratio tooth profile points were established and the corresponding solution algorithm was developed.Tooth profile point cloud of a variable ratio rack was obtained based on this method,and relevant tests of transmission ratio and transmission stability on the sample were performed.The experimental results verified the correctness of the proposed method.

Key words: rack and pinion variable ratio steering gear, variable ratio tooth profile, variable ratio curve, digital modeling, transmission stability, digital modeling method