SBIR PHASE I: Tolerance Analysis Using Finite Element Methods for Variational Geometric Modeling

这个小企业创新研究（SBIR）第一阶段项目探讨了基于有限元分析中体现的概念的变化几何建模和分析框架。 几何尺寸和公差信息的程序解释形成为刚度矩阵、载荷和材料属性，以便在尺寸、位置、方向和形式上创建特征变化。 目标是为全面的三维公差分析提供标准化的数学基础。 包括结构变形，热膨胀，与坐标测量系统的离散化协同作用，稳健设计的体现，以及其直观的概念吸引力，预计将推进变化尺寸管理和同步工程领域。 这一创新将使三维物体（虚拟零件）的工程实现最佳公差分配。 商业应用预计在许多制造功能，包括强大的产品设计，同步工程，快速原型，降低成本和提高质量，计算机辅助公差分析，优化设计和制造的机械和电气系统。

This Small Business Innovation Research (SBIR) Phase I project probes a variation geometric modeling and analysis framework based on concepts embodied in finite element analysis. A procedural interpretation of geometric dimensioning and tolerance information is formed as the stiffness matrix, loads and material properties in order to create feature variation in size, position, orientation, and form. The goal is to provide a standardized mathematical basis for comprehensive, three-dimensional tolerance analysis. The inclusion of structural deformations, thermal expansion, the discretized synergy with coordinate measuring systems, the embodiment of robust design, and its intuitive conceptual appeal is expected to advance the field of variation dimensional management and simultaneous engineering. This innovation will enable the engineering of three-dimensional objects (virtual parts) for optimal tolerance allocation. Commercial applications are anticipated in many manufacturing functions, including robust product design, simultaneous engineering, rapid prototyping, cost reduction and quality enhancement, computer aided tolerance analysis, and optimization for the design and manufacture of mechanical and electrical systems.