桂林理工大学学报2013，Vol.33Issue(2)：312-321,10.DOI:10.3969/j.issn.1674-9057.2013.02.020
六轴联动数控齿轮加工机床加工点啮合齿面的包络逼近原理
Envelope-Approximation Theory in Manufacture for Point-Contact Tooth Surface by Six-Axis CNC Hypoid Generator
摘要
Abstract
A new generation method for point-contact tooth surface is proposed based on the six-axis movement of CNC machine.The new method is derived from the motion of Darboux-Frenet trihedron along a predesigned path of contact on the predesigned (theoretical) tooth surface.The generated tooth surface by the new method has tangency of second order with the predesigned (theoretical) surface along the predesigned path of contact and the predesigned (least) warping in regions that differ from the path of contact.This means that the new method can reliably control meshing characteristics at each contact point.In contrast,the previous method can only control meshing characteristics at a mean contact point and make correction by observing the contact-bearing condition to determine meshing characteristics at other contact points.Different from the previous CNC generation method translated from the cradle-style universal hypoid generator,the developed method directly suits the six-axis movement of CNC machine to identify the relative motion between the tool and the workpiece based on the predesigned meshing characteristics of the gear being generated.Numerical examples prove that the new manufacture method is accurate and feasible.关键词
包络逼近/点啮合齿轮/CNC螺旋锥齿轮加工机床/Darboux-Frenet标架Key words
envelope-approximation/ point-contact gears/ CNC hypoid generator/ Darboux-Frenet trihedron分类
矿业与冶金引用本文复制引用
周凯红,张帅..六轴联动数控齿轮加工机床加工点啮合齿面的包络逼近原理[J].桂林理工大学学报,2013,33(2):312-321,10.基金项目
国家自然科学基金项目(51265008) （51265008）
