Producibility Models for the Class of Geometric Position Tolerance Controls

这笔赠款为开发概率模型提供资金，以便将位置公差约束和工艺能力数据映射到产量的量化测量中。这项研究涉及的位置公差控制类别代表了世界范围内工业生产工作中主要使用的规格约束类别，涉及机械、电子(印刷电路板和相关组件)和其他产品。一个通用的三维制造误差模型将被用作两大类位置公差控制及其变体的可生产性模型的制定的输入。将开发这些模型的精确或近似数值解，并将进行灵敏度分析研究，以阐明和量化重要的设计和制造误差变量对位置公差控制类的生产能力的影响。这些模型的技术实现将通过对它们的预测能力的实验评估的方式来展示。如果成功，这项研究的结果将导致模型和求解程序，将第一次提供位置公差控制方案变量对生产能力的影响的定量测量。该研究项目还将能够在可生产性的基础上对相互竞争的位置公差控制方案进行合理的比较评估。拥有基本制造工艺能力数据的设计工程师将能够在设计阶段评估上游可行位置公差控制方案的可生产性。面对实现给定位置公差控制方案的制造工程师将能够评估满足成品率要求所需的最低精度和精度。在生产环境中展示这些模型和解决方案的技术实施将提供合理的论据，以促进采用可生产性模型，作为提出尺寸和公差标准的有价值的补充文件。

This grant provides funding for the development of probabilistic models to perform the mapping of position tolerance constraints and process capability data into a quantitative measure of yield. The class of position tolerance controls addressed by this research represents the dominant class of specification constraints used worldwide in industrial production work spanning mechanical, electronic (printed circuit boards and related assemblies) and other products. A generic 3-dimensional manufacturing error model will be used as input to the formulation of producibility models for the two broad classes of position tolerance control and their variants. Exact or approximate numerical solutions to these models will be developed and an investigation of sensitivity analysis will be performed that will elucidate and quantify the effect of important design and manufacturing error variables on producibility of the class of position tolerance control. A technological implementation of these models will be demonstrated by way of an experimental evaluation of their predictive power.If successful, the results of this research will lead to models and solution procedures that will provide, for the first time, a quantitative measure of the effect of position tolerance control scheme variables on producibility. The research project will also enable a rational comparative evaluation of competing position tolerance control schemes on the basis of producibility. Design engineers with access to basic manufacturing process capability data will be able to assess the producibility of feasible position tolerance control schemes upstream, at the design stage. Manufacturing engineers confronted with the realization of a given position tolerance control scheme will be able to evaluate the minimum accuracy and precision required to meet yield requirements. Demonstration of the technological implementation of these models and solutions in a production setting will provide a rational argument to promote adoption of producibility models as a valuable complementary document to present dimensioning and tolerancing standards.