Canonical Functions in Design Space

设计空间中的规范函数

• 批准号: 8913564
• 负责人: Robert Haber
• 金额: $ 3万
• 依托单位: University of Illinois at Urbana-Champaign
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-06-01 至 1990-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8913564&HistoricalAwards=false
• 关键词: Canonical; Functions; Design; Space

Engineers are today faced with unprecedented design challenges and opportunities involving novel applications and new engineered materials. Often there is only a limited knowledge base available to guide these designs. Other than certain specialized concepts from optimization, a general and useful theoretical framework for design is lacking. A rigorous mechanics theory that is capable of identifying alternative global strategies for a complex problem would be very useful to design engineers. Some preliminary success had be forthcoming in an attempt to develop new theory and tools to help engineering discover such global design strategies. The design alternatives are generated by seeking a set of global design modification patterns which induce mutually orthogonal changes in the system response. Each orthogonal direction is termed a canonical design direction. This proposal requests support to continue to test the beams were based on the RITZ method and symbolic computation (MACSYMA). A finite element implementation of the method and explore its use in continuum problem will be developed. This work will include investigation of approaches to global optimization, optimization of topology, and visualization of design/response relations.

如今，工程师面临着前所未有的设计挑战和机遇，涉及新颖的应用和新的工程材料。 通常只有有限的知识库可用于指导这些设计。 除了优化中的某些专门概念之外，缺乏通用且有用的设计理论框架。 能够为复杂问题识别替代全局策略的严格力学理论对于设计工程师来说非常有用。 试图开发新的理论和工具来帮助工程发现这种全局设计策略，已经取得了一些初步的成功。 设计方案是通过寻找一组全局设计修改模式来生成的，这些模式会引起系统响应中相互正交的变化。 每个正交方向称为规范设计方向。 该提案请求支持继续测试基于 RITZ 方法和符号计算 (MACSYMA) 的梁。 将开发该方法的有限元实现并探索其在连续介质问题中的应用。 这项工作将包括研究全局优化方法、拓扑优化以及设计/响应关系的可视化。