Sculptured Surface Discretization for Numerically Controlled (NC) Machining

9301115 Jerard这项研究增加了目前在数控（NC）加工雕刻表面领域的知识基础。这方面的知识是重要的任何行业使用五轴数控雕刻表面加工。该项目包括两个工业合作者。以前的研究已经开发出快速和鲁棒的算法来模拟和验证雕刻表面的数控加工程序。该仿真方法采用一种将参数化曲面离散化为曲面点集（SPS）的技术。该仿真方法为三轴数控加工程序的生成和自动校正提供了依据。研究了五轴轨迹扫描包络的五轴刀具定位和几何建模方法。本研究特别探讨了以下问题：(1)将雕刻表面细分为用于NC刀具轨迹生成的离散表示的最佳算法是什么？(2)使用点与多边形作为数控刀具轨迹生成的表面表示时，时间/精度的权衡是什么？(3)针对三轴加工开发的非等参刀具轨迹规划算法能否推广到五轴情况？

9301115 Jerard This research increases the current knowledge base in the field of numerically controlled (NC) machining of sculptured surfaces. This knowledge is important for any industry using five- axis NC sculptured surface machining. Two industrial collaborators are included in the project. Previous research has developed fast and robust algorithms for simulation and verification of sculptured surface NC machining programs. The simulation method uses a technique for discretization of parametrically defined surfaces into a Surface Point Set (SPS). The simulation method has been used as a basis for generation and automatic correction of three axis NC programs. This research is focused on methods for five axis tool positioning and geometric modeling of five axis path swept envelopes. This research specifically explores the following questions: (1) What are the best algorithms for subdivision of sculptured surfaces into a discrete representation to be used for NC tool path generation? (2) What is the time/accuracy trade-off in using points versus polygons as a surface representation for NC tool path generation? (3) Can our non-isoparametric tool path planning algorithm developed for three axis machining be extended to the five axis case?