Verification of Complex Forms Using Coordinate Metrology

本研究将在圆锥体、球体和环面特征的形状验证的综合框架内检查采样和区域估计。其目的是开发一种使用坐标计量学对这些复杂形式进行检查的全面和综合方法。在这一综合背景下的个别研究问题包括使用替代策略确定复杂形式的样本点位置、探头路径长度优化以及使用替代公式和求解方法进行最小区域估计。将评估样本大小和策略以及所使用的优化方法对计算的公差带的影响。实验将在实际的坐标测量机上进行，并确定多个因素的作用及其相互作用。通过利用研究成果开发的决策支持软件系统，将提出适用于具体零件检验问题的模型和方法的适用性。将尝试建立一个“指南”储存库，以便有效地传播研究成果。在整个项目中，研究将通过多种渠道部署到教育领域。足够数量的工业零件，如喷嘴、圆柱体、模具、圆锥孔和轴承中的滚珠、圆锥滚子和滚子滚道，都具有复杂的特征，必须对其进行有效的形状检查。考虑到这些复杂功能的应用及其对互换性的影响，对这些功能进行更专门和更广泛的研究是合乎逻辑的。如果成功，该项目将为复杂的特征验证带来更好的标准和解决方案。此外，这些高级表格的数学发展将对其他检查方法有用。此外，综合分析将有助于制定基于部件的检查的正式指南。

This research will examine sampling and zone estimation within an integrative framework for the form verification of cone, sphere and torus features. The objective is to develop a comprehensive and integrative approach to the inspection of these complex forms using coordinate metrology. Individual research problems within this integrative context include sample point location determination for complex forms using alternative strategies, probe path length optimization, and minimum zone estimation using alternate formulations and solution methodologies. The impact of sample size and strategy and the optimization method used will be assessed on the computed tolerance zone. Experiments will be conducted on actual Coordinate Measuring Machines and the role of multiple factors and their interactions determined. The applicability of appropriate models and methods for specific part inspection problems will be suggested through a decision support software system that will be developed using the research results. A 'guidelines' repository will be attempted for effective dissemination of research findings. Research will be deployed to education, through multiple channels, throughout the project. Sufficient number of industrial parts such as nozzles, frustrum cylinders, dies, tapered holes, and balls, tapered rollers and roller races in bearings possess complex features that must be efficiently inspected for form. Considering these applications of complex features, and their impact on interchangeability, it is logical that these features be studied more exclusively and extensively. If successful, this project will lead to better standards and solutions for complex feature verification. Further, the mathematical developments for these advanced forms will be useful to other inspection methodologies. In addition, the integrative analysis will be useful to the development of formal guidelines for part-based inspection.