复杂螺旋面包络铣刀位轨迹仿真方法

西南石油大学学报（自然科学版）

2016年6月第38卷第3期

Journal of Southwest Petroleum University（Science&Technology Edition）

V ol.38No.3Jun.2016

DOI：10.11885/j.issn.16745086.2014.01.03.01

文章编号：16745086（2016）03017008

中图分类号：TE921；TG543；TH164

文献标志码：A

复杂螺旋面包络铣刀位轨迹仿真方法

况雨春1*，吴龙梅2，屠俊文3，吴英强4，董宗正1

1.西南石油大学机电工程学院，四川成都610500

2.成都九鼎科技（集团）有限公司，四川成都610100

3.中国石油技术开发公司，北京西城100009

4.中国石油长庆油田公司油田开发处，陕西西安751500

摘要：针对复杂螺旋曲面加工误差问题，开展了对其空间包络铣刀位轨迹算法的研究。研究中采用计算机仿真的数值计算方法，将加工过程中刀具工件的动态啮合关系通过时间离散和空间离散转换成一个空间几何问题，通过建立刀具回转面与工件螺旋面的空间三维模型，并推导实现刀具工件啮合关系的坐标转换矩阵，并将刀具与工件两曲面的最小有向距离的求解转变为一个二维问题，最终建立了刀位轨迹仿真算法，获得了编制数控代码的参数信息。试样加工结果表明，利用该方法得到刀位轨迹参数进而编制的数控加工程序，能够加工出满足精度要求的螺旋面。同时也分析了加工廓形误差分布及其影响因素。

关键词：螺旋曲面；数控加工；刀位轨迹；数值仿真；最小有向距离

Tool Path Simulation of Envelope Milling of Complex Helical Surface KUANG Yuchun1*,WU Longmei2,TU Junwen3,WU Yingqiang4,DONG Zongzheng1

1.School of Mechatronic Engineering，Southwest Petroleum University，Chengdu，Sichuan610500，China

2.Chengdu Jiuding Technology（group）Co.Ltd.，Chengdu，Sichuan610100，China

3.China Petroleum Technology and Development Corporation，Xicheng，Beijing100009，China

4.Department of Oilfield Development，Changqing Oilfield Company，PetroChina，Xi′an，Shaanxi751500，China

Abstract：In order to reduce the machining error of complex helical surface，this paper studied the algorithm about tool path of envelope milling by transforming the dynamic meshing relationship into the space geometry problems between milling-cutter and workpiece through time discretization and spatial discretization in machining process based on numerical simulation method.

We build three-dimensional model of milling-cutter and workpiece surface of revolution，deduce the coordinate-transformation matrix of meshing relationship between milling-cutter and workpiece，simplify the minimal directed distance between milling-cutter and workpiece into a two-dimensional problem，set up the simulation algorithm of tool-path of milling-cutter and finally get the parameter information of NC codes.The machining process programmed on the obtained parameters proved to be able to produce the helical surface with required precision.Error distribution of the profile and its influencing factors are studied too.

Key words：helical surface；NC machining；tool path；numerical simulation；the minimal directed distance

网络出版地址：http：//https://www.360docs.net/doc/b67853743.html,/kcms/detail/51.1718.TE.20160527.1626.016.html

况雨春，吴龙梅，屠俊文，等．复杂螺旋面包络铣刀位轨迹仿真方法[J]．西南石油大学学报（自然科学版），2016，38（3）：170177．KUANG Yuchun,WU Longmei,TU Junwen,et al．Tool Path Simulation of Envelope Milling of Complex Helical Surface[J]．Journal of Southwest Petroleum University（Science&Technology Edition），2016，38（3）：170177．

*收稿日期：20140103网络出版时间：20160527

通信作者：况雨春，E-mail：swpikyc@https://www.360docs.net/doc/b67853743.html,

基金项目：国家科技重大专项（2016ZX05038005）。