关键词: 线齿轮\齿面方程, 运动学仿真, 几何模型

Abstract: In order to construct a precise geometric model of the driving and driven teeth of arbitrary intersecting line gear ( LG) by using the 3D CAD software,the construction condition is discussed and obtained,which is that each of the cross-sections of the line teeth should be perpendicular to the corresponding contact line.Under this condition,the equation of the driven center curve is corrected,and then the profile equations of the driving and driven line teeth of arbitrary intersecting LG are deduced.Then,by using the 3D CAD software,a geometrical model of the LG is constructed,and a kinematical simulation is accomplished.The results prove the correctness of the proposed design method for the LG teeth profile.This method provides a geometric basis for the research on the elastic hydrodynamic lubrication theory of line gears.

Key words: line gear, profile equations of line teeth, kinematical simulation, geometrical model