U.S.-Tunisia Cooperative Research: Combined Cellular Automata and Multigrid Methods for Structural Topology Design

美国-突尼斯合作研究：结合元胞自动机和多重网格方法进行结构拓扑设计

• 批准号: 0353186
• 负责人: Ali Nayfeh
• 金额: --
• 依托单位: Virginia Polytechnic Institute and State University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-03-15 至 2008-02-29
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0353186&HistoricalAwards=false
• 关键词: U.S.; Tunisia; Cooperative; Research; Combined

0353186 GurdalDescription: This project supports collaborative research between Dr. Zafar Gurdal, Department of Engineering Science and Mechanics, Virginia Institute of Technology and State University, Blacksburg, Virginia and Dr. Hichem Smaoui, Department of Civil Engineering, Ecole National d'Ingenieurs de Tunis (ENIT), Tunis, Tunisia. The research will develop a numerical design optimization methodology based on a combination of the cellular automata (CA) paradigm and multigrid methods (MG) for the design of large complex structures, and to investigate the new methodology in the context of design of large complex structures. Unlike the traditional approach, the CA does not require repetitive system level analyses, as it is based completely on local problem solving for both analysis and design. Multigrid methods are used to improve its efficiency. This innovative approach offers a new paradigm to design and analysis with great potential. This approach will be massively parallel and much more efficient than present design optimization algorithms. The PIs plan to apply this methodology to the topology optimization of 2-D elastic continua with highly refined grids, and to the topology and fiber orientation optimization of composite plates. Scope: Developing automated methods for engineering design is of immense significance, and will remain an important problem. The application of multi-grid approach in the design environment can benefit from the experience to be gained in this project. The results may change design paradigm for industry and thus have a major impact. The approach may be extended beyond structural design to other areas of multidisciplinary design optimization and to system identification, and would make many areas of optimization more efficient and allow them to be more widely applied, especially to nonlinear problems. The project would enhance teaching through the development of an associated course in Tunisia, and learning through the involvement of graduate students, with participation of a female Ph.D. student. A strong partnership is expected to develop between the research groups at the U.S. and Tunisian institutes. It is expected that the collaboration will be successful in completing the proposed work since the two researchers have already done preliminary work in the area. There will be participation of graduate students from Tunisia and VPI who will be working together. Widespread dissemination of results is expected.

0353186 GURDALDESCRIPTION：该项目支持弗吉尼亚州技术与州立大学工程科学与力学系Zafar Gurdal博士，弗吉尼亚州布莱克斯堡，弗吉尼亚州，弗吉尼亚州布莱克斯堡大学和Hichem Smaoui博士，Ecole National d'Ingenieurs de Ingenieurs de tunis de tunis（Enit），Tunisia，Tunisia，Tunisia，Ecole National National d'Ingenieurs。 这项研究将基于基于细胞自动机（CA）范式和多机范式方法（MG）的组合来开发一种数值设计优化方法，用于设计大型复杂结构，并在大型复杂结构设计中研究新方法。 与传统方法不同，CA不需要重复的系统级分析，因为它完全基于分析和设计的本地问题解决。 跨部方法用于提高其效率。 这种创新的方法为设计和分析提供了巨大潜力的新范式。 与当前的设计优化算法相比，这种方法将非常平行，并且更有效。 PIS计划将此方法应用于具有高度精制的网格的二-D弹性连续图的拓扑优化，以及复合板的拓扑和纤维方向优化。范围：开发工程设计的自动化方法具有巨大的意义，并且将仍然是一个重要的问题。 多网格方法在设计环境中的应用可以从该项目中获得的经验中受益。 结果可能会改变行业的设计范式，从而产生重大影响。 该方法可以扩展到结构设计超出多学科设计优化和系统识别的其他领域，并使许多优化领域更有效，并可以更广泛地应用它们，尤其是针对非线性问题。 该项目将通过突尼斯的一项相关课程的发展，并通过研究生的参与来增强教学。学生。 预计在美国和突尼斯学院的研究小组之间建立强大的伙伴关系。 预计该协作将成功完成拟议的工作，因为两位研究人员已经在该地区进行了初步工作。 来自突尼斯和VPI的研究生将参加，他们将共同努力。 预计结果广泛传播。