Research Of Tooth Surface Structure On Planar Double-enveloping Worm Drive

Planar double-enveloping torus worm pair has the tooth meshing at the same time,the large induced curvature radius,double contact lines,etc.Compared with cylindrical worm pair,it has strong bearing capacity,good lubrication function,high transmission efficiency and long service life.Planar double-enveloping torus worm drive has three types of contact line,namelyⅠ type contact line,Ⅱ type contact line and Ⅲ type contact line.It has different effects on the transmission function of the worm pair.Thus further analyzing the type of contact line helps to grasp the transmission function of the worm pair and makes working performance improve to maximize.For the visual problem of the contact lines on planar double-enveloping,studies and analyzes the worm pairs Ⅰ、Ⅱ and Ⅲ type contact line and their formation reasons.By using the function of the MATLAB numerical calculation and image processing,has been the formation process of contact line under different transmission type and describes evolution of a variety of contact lines.Through the theoretical analysis it is concluded that the transformation point play the role of tooth surface structure.This helps to study the worm gear tooth surface structure,interference of tooth surface formation and transmission performance of the worm pair.Based analyzing the relationship between the two points and type of contact line and the drawing function of matlab,has the modification parameters and the contact line diagram,makes the relationship between the contact line and the modification parameters implement the visualization,and gives a simple intuitive methods to judge contact line.By using a boundary curve and the derivation of curvature method,analyzes the worm gear tooth surface structure ofⅠtype contact line,Ⅱtype contact line and Ⅲ type contact line,has work and non-work area,and increases the workspace by increasing the angle of β.By increasing the angle of β,reduce the root cutting,and enhance lubrication.At the same time,it improves the carrying capacity of the worm gear and enhances the lubricity.