SBIR Phase I: Tolerance Analysis Using a Unifying Constraint Theory for Variational Geometric Modeling

SBIR 第一阶段：使用统一约束理论进行变分几何建模的公差分析

• 批准号: 9860883
• 负责人: Mark Iannuzzi
• 金额: $ 10万
• 依托单位: Variation Systems Analysis Inc
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-01-01 至 1999-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9860883&HistoricalAwards=false
• 关键词: SBIR; Phase; Tolerance; Analysis; Using

9860883 This Small Business Innovation Research (SBIR) Phase I project addresses a unifying mathematical framework for three-dimensional tolerance analysis which can quantify the flow of variation through a product based upon design specifications and associated manufacturing processes. The hallmark of this innovation is a system of geometric constraint equations that are a function of kinematic degrees of freedom (DOF). The constraints define the feasible space for features, components, and part-to-part (assembly) relationships due to geometric topology, tolerancing, and the manufacturing process. Sets of equations are solved for the particular homogeneous transformation matrices that systematically vary the features and components of the resultant feature-based assembly model, allowing for accurate calculation and assessment of dimensional requirements. The innovation will provide a unity calculus for variational modeling at the feature, component, and assembly levels, with Phase I emphaizing the crucial assembly level. Overall benefits of this innovation include boarding the application base, ease-of-use, and appeal of tolerance analysis, as well as enabling a compelling synchroneity with Computer-Aided Engineering (CAE) systems. Applications of computer-aided tolerance analysis are anticipated in the design and manufacture of mechanical and electrical systems, robust product and process design, simultaneous engineering, rapid prototyping, and product quality enhancement.

9860883这项小型企业创新研究(SBIR)第一阶段项目旨在为三维公差分析建立统一的数学框架，该框架可以根据设计规范和相关的制造工艺来量化产品中的变异流动。这一创新的标志是一个几何约束方程系统，它是运动学自由度(DOF)的函数。由于几何拓扑、公差和制造工艺的原因，约束定义了特征、零部件和零件到零件(部件)关系的可行空间。对于系统地改变所得到的基于特征的装配模型的特征和组件的特定齐次变换矩阵，求解一组方程，从而允许准确地计算和评估尺寸要求。这项创新将为特征、零部件和装配级别的变分建模提供统一的演算，第一阶段强调关键的装配级别。这项创新的总体好处包括应用程序基础、易用性和公差分析的吸引力，以及实现与计算机辅助工程(CAE)系统的令人信服的同步。计算机辅助公差分析有望在机械和电气系统的设计和制造、稳健的产品和工艺设计、同步工程、快速成型和产品质量提高中得到应用。