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CAREER: Incorporating Geometric Rules and Cost in Topology Optimization for Efficient Design of Manufacturable and Economically-Viable Structures

职业：将几何规则和成本纳入拓扑优化中，以有效设计可制造且经济可行的结构

基本信息

批准号：
1751211
负责人：
JULIAN NORATO
金额：
$ 50万
依托单位：
University of Connecticut
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2018
资助国家：
美国
起止时间：
2018-09-01 至 2024-08-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=1751211&HistoricalAwards=false
关键词：
CAREER Incorporating Geometric Rules Cost

项目摘要

Topology optimization is a powerful computational aid for exploring novel structural design concepts without requiring a preconceived shape of the structure. The resulting designs are highly optimized for their application, enabling lightweight high-performance structures. However, the designs tend to have an intricate organic-looking structure making them challenging to manufacture reliably and economically. Prior attempts to impose manufacturing constraints during the topology optimization process have had limited success. Furthermore, current methods cannot directly consider manufacturing costs, making it difficult for designers to factor in economic objectives or constraints. This Faculty Early Career Development Program (CAREER) award supports fundamental research to formulate the first framework to systematically incorporate geometric design rules and manufacturing cost in topology optimization, and to integrate this framework with educational activities that improve the attitudes of underrepresented minorities towards STEM fields. This research will enable the conceptual design and optimization of lightweight, high-performance, and economically-viable structures with applications across a wide range of engineering industries. The new design capabilities will have the potential to significantly reduce manufacturing and R&D costs and thereby increase the economic competitiveness of American manufacturers. This award will also positively impact underrepresented minorities through an integrated education plan aimed at increasing student self-efficacy and stimulating their participation in STEM. The educational program includes an engaging, virtual-reality based after-school program for middle school students. This program will also engage and impact K-12 teachers and undergraduate and graduate students, and it will be a conduit to communicate research outcomes to the wider public and the research community.Although topology optimization is a successful technique for structural design, its impact is limited by challenges in incorporating manufacturing constrains and economic considerations into the optimization process. These gaps are rooted in the difficulty to express many manufacturing-driven geometric requirements in terms of the design representations used by existing techniques, the discrete nature of some geometric features, and the fact that manufacturing cost can be a non-smooth function of the design. This CAREER project will make three major intellectual contributions to the computational design of structures, namely the coupling of feature-based design representations with 1) global optimization methods to escape entrapment in undesired local minima in the presence of many geometric design rules; 2) discrete optimization methods to accommodate discrete geometric features; and 3) parametric cost models and non-smooth optimization methods to incorporate cost in the topology optimization problem. The new techniques will be validated against benchmarks and demonstrated on engineering problems in collaboration with industry partners.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

拓扑优化是一种强大的计算辅助工具，用于探索新的结构设计概念，而不需要预先设想的结构形状。由此产生的设计针对其应用进行了高度优化，从而实现了轻质高性能结构。然而，这些设计往往具有复杂的有机外观结构，这使得它们难以可靠和经济地制造。在拓扑优化过程期间施加制造约束的先前尝试具有有限的成功。此外，当前的方法不能直接考虑制造成本，使得设计者难以将经济目标或约束因素考虑在内。该教师早期职业发展计划（CAREER）奖支持基础研究，以制定第一个框架，系统地将几何设计规则和制造成本纳入拓扑优化，并将此框架与教育活动相结合，以改善代表性不足的少数民族对STEM领域的态度。这项研究将使轻量化，高性能和经济上可行的结构的概念设计和优化，在广泛的工程行业的应用。新的设计能力将有可能大大降低制造和研发成本，从而提高美国制造商的经济竞争力。该奖项还将通过旨在提高学生自我效能和刺激他们参与STEM的综合教育计划，对代表性不足的少数群体产生积极影响。教育计划包括一个吸引人的，基于虚拟现实的中学生课后计划。该计划还将吸引和影响K-12教师和本科生和研究生，它将是一个渠道，以沟通研究成果，以更广泛的公众和研究社区。虽然拓扑优化是一种成功的技术结构设计，其影响是有限的挑战，在将制造约束和经济考虑到优化过程中。这些差距的根源在于难以表达现有技术所使用的设计表示方面的许多制造驱动的几何要求，一些几何特征的离散性质，以及制造成本可能是设计的非平滑函数的事实。这个CAREER项目将对结构的计算设计做出三个主要的智力贡献，即基于特征的设计表示与1）全局优化方法的耦合，以避免在存在许多几何设计规则的情况下陷入不希望的局部最小值; 2）离散优化方法，以适应离散几何特征;参数代价模型和非光滑优化方法将代价引入拓扑优化问题。该奖项反映了NSF的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。