Multipoint 5-Axis Machining of Curved Surfaces

加拿大工具、模具和模具制造行业以其精确度和精确度而闻名。2002年，加拿大的工具、模具和模具市场约为12亿美元(加拿大统计局)。在最近的经济衰退中，它下降了40%以上。近年来，市场前景发生了变化，并呈增长趋势。随着计算机数控机床以新颖的方式减少生产成本和提高生产率，这种增长将继续下去。*拟议的研究计划侧重于使用五轴数控机床加工工具、模具和模具中常见的曲面。多点加工、后刀面加工和加工表面仿真等方面的研究受到了学术界的高度重视，并推动了叶轮五轴联动加工商业软件的开发。研究项目中的主要挑战来自于数学上的复杂性。下面给出了用于解决该问题的样本方法，尽管其他技术可能是从研究计划发展而来的。*1)通过将曲面转换为一系列相邻的三角形来简化曲面的定义。*2)将工具放到曲面上并识别接触点和伪插入轴。*3)绕刀具轴旋转刀具，直到找到第二个接触点。*4)确定接触点所在的三角形，并沿公共边滑动刀具，直到找到第三个接触点。*5)为双参数曲面开发上述步骤。*工作已经按照上面概述的样本策略开始。前三个步骤的初步调查是成功的。根据这项提案，将继续执行上述步骤，直至完成。该战略的成功将进一步推动多点加工研究计划的优势达到可在工业中有效使用的水平。**

The Canadian Tool, Die and Mold making industry is known for its precision and accuracy. In 2002 the Canadian market for tool, dies and molds was around $1.2 billion (Statistics Canada). It dropped by 40+% in the recent recession. The outlook for the market has changed in the recent years and it is on a growth trend. The growth is slated to continue with the increased use of Computer Numerically Controlled Machines in novel ways that reduce production cost and increase productivity.*******The proposed research program focuses on machining of curved surface typically found in tool, die and molds using 5-axis CNC machines. The work on Multi-Point Machining (MPM), Flank Milling and simulation of machined surfaces have received great attention in academic circles and have lead to the development of commercial software for 5-axis machining of impellers.*******The current proposal visits the challenges in Multi-Point Machining. The main challenge in the research program stem from the mathematical complexity. A sample methodology used to address the issue is given below, although other technique may evolve from the research program.***1) Simplify the definition of the surface by converting it into a series of adjoining triangles.***2) Drop the tool onto the surface and identify a contact point and a pseudo insert axis. ***3) Rotate the tool about the tool axis until a second point of contact is found. ***4) Identify the triangles where the contact points lie and slides the tool along the common edge until a third point of contact is found.***5) Develop the above steps for bi-parametric curved surfaces.*******Work has already started along the sample strategy outlined above. The preliminary investigation of the first three steps has been successful. The steps outlined above will be pursued to completion under this proposal. The success of the strategy will further the goal of moving the advantages of the Multi-Point Machining research program to a level where it can be used in industry effectively.**