Math Based Precision Manufacturing and Metrology for Complex Mechanical Assemblies

复杂机械组件的基于数学的精密制造和计量

• 批准号: 0969821
• 负责人: Joseph Davidson
• 金额: $ 41.75万
• 依托单位: Arizona State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-05-01 至 2014-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0969821&HistoricalAwards=false
• 关键词: Math; Based; Precision; Manufacturing; Metrology

The objective of this research is to integrate the three sequential stages that typically are required to get complex mechanical assemblies to function and assemble properly. The first of the three stages is the setting of limits on the geometric variations by design engineers. The second is conversion of these limits by manufacturing engineers to process plans, the step-by-step procedures used in a factory to accomplish the manufacture of a part or an assembly. The third is the conversion of measured points on the surface of a part during quality control inspection to a form that may be used for direct comparison with the limits set by the designer. The method is to extend the concepts of a newly developed mathematical model for design both to complex geometries and to the domains of manufacturing and inspection of mechanical parts. The new model represents the design limits as boundaries in multidimensional geometric space. The boundaries separate smaller variations, which are acceptable, from larger ones that are not. The new math model is unique because no other model represents all classes of limits used in the practice of design and manufacturing. The benefits from this award, if successfully carried out, will be a first mathematical model to integrate manufacturing variations in mechanical parts in a manner that will be consistent with the standards used in practice. Further, until now, all geometric manufacturing variations have been attributed to manufacturing processes, not to the geometry of the feature and the specified limits to the variations. The proposed use of the new mathematical model for design will enable a new way of thinking by separating variations that are purely geometric from those that come from characteristics of manufacturing processes and machines.

这项研究的目的是整合通常需要的三个连续阶段，使复杂的机械组件正常运行和组装。 这三个阶段中的第一个阶段是设计工程师对几何变化设置限制。 第二个是制造工程师将这些限制转换为工艺计划，即工厂用于完成零件或组件制造的分步程序。 第三个是将质量控制检查期间零件表面上的测量点转换为可用于与设计者设定的限制直接比较的形式。 该方法旨在将新开发的设计数学模型的概念扩展到复杂的几何形状以及机械零件的制造和检查领域。 新模型将设计限制表示为多维几何空间中的边界。 边界将可接受的较小变化与不可接受的较大变化分开。 新的数学模型是独一无二的，因为没有其他模型能够代表设计和制造实践中使用的所有类别的限制。 如果成功实施，该奖项的好处将是第一个以与实践中使用的标准一致的方式整合机械零件制造变化的数学模型。 此外，到目前为止，所有几何制造变化都归因于制造工艺，而不是特征的几何形状和变化的指定限制。 拟议使用新的数学模型进行设计，将纯粹的几何变化与来自制造工艺和机器特性的变化分开，从而实现一种新的思维方式。