GOALI: Collaborative Research:A Mode-based Simulation Enabling Model and Methodologies for Geometric Variation and Tolerance Control

该GOALI奖的研究目标是建立几何尺寸公差（GD&amp；T）建模方法，以实现有效的GD&amp；T设计仿真，并开发概率GD&amp；T公差分析和综合方法。该研究将产生一种公差建模方法，该方法能够模拟随机变化，并将其纳入产品功能模型，以便在面对制造不确定性时进行概率设计。研究方法从开发单个复杂零件的公差建模，发展到创建能够分析多个零件装配公差的模型。交付成果包括几何公差建模的统一框架、各种一维和二维几何特征的几何公差表示和模型、统计模型参数估计、装配公差分析和综合方法、新课程模型创建和实验室开发。如果研究成功，将填补计算机辅助公差（CAT）技术的空白，为公差设计和质量保证提供实用的解决方案，并将传统的尺寸公差和启发式公差设计转变为具有严格模型和方法论基础的新的公差设计范式。这项研究的结果通常适用于许多行业的高质量产品设计，例如航空航天，微机电系统（MEMS），替代能源（如燃料电池），光学，汽车和造船等。结果将加强学生的研究技能，并建立教师和学生的经验和出版物。结果将纳入新的教育课程和实验实习，从而为机械和工业工程专业的学生提供实践训练。研究结果将通过专业学术和工业合作网络、工业案例研究、研讨会、出版物和专业会议广泛传播。

The research objective of this GOALI award is to establish methods for modeling geometric dimensioning & tolerancing (GD&T) to enable effective GD&T design simulation, and to develop methods for probabilistic GD&T tolerance analysis and synthesis. The research will result in a tolerance modeling methodology that is capable of simulating random variations and incorporating them into product function models for probabilistic design in the face of manufacturing uncertainties. The research approach progresses from the development of tolerance modeling for a single complex part, to the creation of models capable of analyzing tolerances for multiple part assembly. Deliverables include a unified framework for geometric tolerance modeling, geometric tolerance representation and models on the various one-dimensional and two dimensional geometric features, statistical model parameter estimation, and tolerance analysis and synthesis methodologies for assembly, new curriculum model creation, and laboratory development. If successful, the results of this research will fill the vacancies in the state of the art of computer aided tolerancing (CAT) techniques, provide practical solutions for GD&T tolerance design and quality assurance, and shift the traditional dimensional tolerancing and heuristic GD&T design into a new tolerance design paradigm with a rigorous model and methodological basis. The results of this research are generally applicable to many industries for high quality product design, e.g. aerospace, Micro-Electro-Mechanical Systems (MEMS), alternative energy (e.g., fuel cells), optical, automotive, and shipbuilding, among others. The results will strengthen students' research skills, and build faculty and students' experience, and publications. Results will be incorporated into new educational curricula and lab practicum, thus providing hands-on training for students in mechanical and industrial engineering. The results will be disseminated widely via professional academic and industrial collaborative networks, an industrial case study, seminars, publications, and professional conferences.