Sculptured Surface Discretization for Numerically Controlled (NC) Machining

小行星9301115 这项研究增加了目前的知识基础，在数控（NC）加工领域的雕塑曲面。 这方面的知识是很重要的任何行业使用五轴数控雕刻曲面加工。 该项目包括两个工业合作者。 以往的研究已经开发出快速和强大的算法，仿真和验证的雕塑曲面数控加工程序。 该模拟方法使用了一种将参数化定义的曲面离散化为曲面点集（SPS）的技术。 仿真方法已作为三轴数控程序生成和自动修正的基础。 研究了五轴刀具定位方法和五轴轨迹包络线的几何建模方法。 本研究主要探讨以下问题：（1）如何将复杂曲面细分为离散曲面，并将其应用于数控刀具轨迹的生成？ (2)在使用点与多边形作为NC刀具路径生成的曲面表示时，时间/精度的权衡是什么？ (3)我们的非等参刀具路径规划算法开发的三轴加工扩展到五轴的情况下？

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?