麻花钻后刀面螺旋面刃磨法的三维实体建模_王春月_白海清_荆浩旗_朱超.pdf

第 6 期 机 械 设计与制 造 2014 年 6 月 Machinery Design ＆ Manufacture 185 麻花钻后刀面螺旋面刃磨法的三维实体建模 王春月， 白海清，荆浩旗，朱 超 陕西理工学院机械工程学院，陕西汉中 723000） （ 摘 要：介绍了后刀面为渐开螺旋面麻花钻常用的两种刃磨方法，根据麻花钻的钻刃曲线方程及普通螺旋面刃磨法原 理、变导程螺旋面刃磨法原理 ，建立 了普通螺旋面刃磨法的数学模型；提 出了在 UG 环境下用普通螺旋面刃磨法和通过 Lagrange 插值法 实现的变导程螺旋面刃磨法刃磨麻花钻后刀面的三维实体建模方法，解决了螺旋面刃磨法三维实体建 模的难题；并且利用草 图与表达式功能实现其参数化建模 ，为麻花钻进行几何设计、制造、切 削性能分析和对钻削过程进 行仿真研究奠定基础。 关键词：麻花钻；螺旋面刃磨法；建模设计；数学模型；参数化 中图分类号：TH16 ；TG713 文献标识码：A 文章编号：1001-3997 （2014）06-0185-03 3D Solid Model Designing on Sharpening Method of Twist Drill ’s Flank WANG Chun-yue，BAI Hai-qing，JING Hao-qi ，ZHU Chao （Mechanical Engineering Department，Shaanxi University of Technology，Shaanxi Hanzhong 723000，China） Abstract ：Here ，two cutting edge sharpening methods of the involute spiral surface about twist drill ’s flank in common use and a mathematical model of common helicoid grinding method are presented ，pertaining especially to the rear faces of twist drills and their 3D solid model designing using common helicoid sharpening method and variable lead helicoid method which can be obtained by Lagrange interpolation proposed based on the equations of drill edge curve ，helicoid grinding method and variable lead helicoid method principle. The method can solve the problems of 3D solid model design. Moreover ，its parametric modeling is realized by using the function of sketch and expression. It is the basis of simulation studies to carry out geometric design ，manufacture ，analysis on machinability and drilling process. Key Words：Twist Trill；Helicoid Grinding Method；Modeling Design；Mathematical Mode；Parametric 1 引言