Collaborative Research: A Mathematical Design Framework for the Synthesis of Biologically-Inspired Systems

协作研究：用于合成仿生系统的数学设计框架

• 批准号: 0700444
• 负责人: Sridhar Kota
• 金额: $ 18.8万
• 依托单位: Regents of the University of Michigan - Ann Arbor
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2007
• 资助国家: 美国
• 起止时间: 2007-06-15 至 2011-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0700444&HistoricalAwards=false
• 关键词: Collaborative; Research; Mathematical; Design; Framework

The research objective is to explore a novel methodology for the design of biologically-inspired compliant systems exhibiting motion in three dimensions. The impetus for this research draws largely from the elegant simplicity with which designs in nature exhibit complex three-dimensional motion through continuous deformation. The research will result in a systematic method to create conceptual designs of compliant mechanisms by combining elemental building blocks which are derived from flexible biological systems. A six-dimensional hyper-geometry will be used to capture the essential motion properties for the characterization of a building block library. This mathematical framework will enable identification of the members of the building block library from nature, quantitative comparison between motion requirements and the building block characteristics, and systematic decomposition of the design synthesis task. Various biological mechanisms and engineered systems will be explored to deduce potential building blocks. Additionally, the six-dimensional hyper-geometry will be used to facilitate the intelligent decomposition of a larger design synthesis task into more tractable sub-tasks which may be addressed by elements of the building block library. If successful, the results of this research will enable the practical realization of compliant systems in three dimensions. This has potential to greatly broaden the scope of applications where the benefits of compliance may be exploited. Furthermore, the potential benefits of the research to the broader engineering community are grounded in an intuitive approach which builds designer insight. The results of this research will be accessible to the broader engineering community in the form of software-based design tools to aid in visualization and automation of tasks, web-based learning modules, and a "wiki"-like encyclopedia to aid in compliant mechanism design.

研究目标是探索一种新颖的方法来设计展示三维运动的仿生顺应系统。这项研究的动力很大程度上来自于优雅的简单性，自然界中的设计通过连续变形表现出复杂的三维运动。该研究将产生一种系统方法，通过结合源自灵活生物系统的基本构件来创建顺应机制的概念设计。六维超几何将用于捕获构建块库表征的基本运动属性。该数学框架将能够从本质上识别积木库的成员，定量比较运动要求和积木特征，并对设计综合任务进行系统分解。将探索各种生物机制和工程系统以推断出潜在的构建模块。此外，六维超几何将用于促进将较大的设计综合任务智能分解为更容易处理的子任务，这些子任务可以通过构建块库的元素来解决。如果成功，这项研究的结果将能够在三个维度上实际实现合规系统。这有可能大大拓宽可以利用合规性好处的应用范围。此外，该研究对更广泛的工程界的潜在好处是基于一种直观的方法，可以培养设计师的洞察力。这项研究的结果将以基于软件的设计工具、基于网络的学习模块和类似“wiki”的百科全书的形式向更广泛的工程界开放，以帮助实现任务的可视化和自动化。