【摘要】 为了解决直接求解展成法加工中存在的复杂双参数包络问题时的困难 ,提出通过数学变换 ,将此包络问题转化为假想平面产形轮与工件之间的展成问题来进行研究 .推导了假想产形面的方程和各阶偏导矢 ,于是可获得产形面的微分几何参数 .通过分析假想平面产形轮与工件之间的展成运动 ,即可得到被展成齿面上任意指定点的全部一至三阶微分几何参数 .更多还原

【Abstract】 In order to solve the double parameters enveloped in the gear tooth flank generating, the complicated double parameter envelope is simplified to the generating process between work-piece and imaginary crown generating gear by means of mathematical transformation.The equation of the imaginary crown generating surface and the partial derivatives are deduced, so the differential geometric parameters of the generating surface can be obtained. By analyzing the generating motion between the imaginary crown generating gear and the work-piece, all the first to third order geometric parameters of the generated tooth flank at any given point can be calculated.更多还原