球头铣刀铣削球面的表面形貌建模与仿真研究

doi:10.3969/j.issn.1004-132X.2020.24.004

摘要/Abstract

摘要： 基于齐次坐标矩阵变换原理和矢量运算法则，建立了工件坐标系下球头铣刀扫掠面的数学模型，基于Z-MAP法设计了球形表面形貌的生成算法，利用该算法对球头铣刀分别采用3D环绕法和放射加工法这两种典型走刀路线加工凸球面，并对加工后的表面形貌进行了仿真，通过分析对比仿真结果，发现3D环绕法更有利于减小表面粗糙度。同时，仿真结果和试验结果具有较高的吻合度，表明该仿真方法是可靠的，可以用于实际生产中球头铣刀铣削球面表面形貌的预测。

关键词: 球面铣削, 表面形貌, 走刀路线, 建模仿真

Abstract: Based on the principles of homogeneous coordinate matrix transformation and the vector algorithm, a mathematical model of the swept surfaces for the ball-end milling cutters was established under the workpiece coordinate system. Based on Z-MAP method, a spherical surface topography generation algorithm was designed. This algorithm was used for machining the convex spheres with the ball-end milling cutters by two typical moving paths of 3D surrounding method and radiation processing method respectively, and the machined surface morphologies were simulated. Through the analysis and comparison of the simulation results, it is found that the 3D surrounding method is more conducive to reduce the surface roughnesses. At the same time, the simulation results and the test results have a high degree of agreement, which indicates that the simulation method is reliable and may be used to predict the spherical milling surface topography with ball-end milling cutters in actual productions.

Key words: spherical milling, surface topography, moving path, modeling simulation

中图分类号:

TH161

范思敏;肖继明;董永亨;洪贤涛;赵亭. 球头铣刀铣削球面的表面形貌建模与仿真研究[J]. 中国机械工程, DOI: 10.3969/j.issn.1004-132X.2020.24.004.

FAN Simin;XIAO Jiming;DONG Yongheng;HONG Xiantao;ZHAO Ting. Study on Modeling and Simulation of Surface Topography of Spherical Milling with Ball-end Milling Cutters[J]. China Mechanical Engineering, DOI: 10.3969/j.issn.1004-132X.2020.24.004.

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http://www.cmemo.org.cn/CN/Y2020/V31/I24/2924

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