Geometric Criteria for Gouge-Free Three-Axis Milling of Sculptured Surfaces

Author:

Pottmann H.1,Wallner J.1,Glaeser G.2,Ravani B.3

Affiliation:

1. Institute of Geometry, Vienna University of Technology, A-1040 Wien, Austria

2. University of Applied Arts, A-1010 Wien, Austria

3. Department of Mechanical Engineering, University of California Davis, Davis, CA 95616

Abstract

The paper presents a geometric investigation of collision-free 3-axis milling of surfaces. We consider surfaces with a global shape condition: they shall be interpretable as the graphs of bivariate functions or shall be star-shaped with respect to a point. If those surfaces satisfy a local millability criterion involving curvature information, it is proved that this implies globally gouge-free milling. The proofs are based on general offset surfaces. The results can be applied to tool-motion planning and the computation of optimal cutter shapes.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Cited by 21 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Approximation of generalized offset surfaces by bicubic splines;Journal of Mathematical Chemistry;2019-12-17

2. Using curvature bounds towards collision free 5-axis tool-paths;Graphical Models;2019-05

3. Computing offsets of point clouds using direct point offsets for tool-path generation;Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture;2011-10-12

4. Computational Line Geometry;Mathematics and Visualization;2010

5. Adaptable geometric patterns for five-axis machining: a survey;The International Journal of Advanced Manufacturing Technology;2009-09-26

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3