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型的方法，用于设计以三个维度运动表现出运动的符合生物启发的系统。这项研究的动力很大程度上取决于自然界设计中设计的优雅简单性，通过连续变形表现出复杂的三维运动。这项研究将导致一种系统的方法，通过结合源自灵活的生物系统的元素构建块来创建兼容机制的概念设计。将使用六维超数字来捕获构建块库的表征的基本运动属性。该数学框架将使自然界的构建块库的成员，运动要求和构件特征之间的定量比较以及设计综合任务的系统分解。将探索各种生物学机制和工程系统，以推断潜在的构件。此外，六维超数字将用于促进较大的设计合成任务的智能分解为更可拖动的子任务，这些子任务可以通过构建块库的元素来解决。如果成功的话，这项研究的结果将在三个维度上实现合规系统的实际实现。这有可能大大扩大可能利用合规性好处的应用范围。此外，研究对更广泛的工程社区的潜在好处是基于建立设计师洞察力的直观方法。更广泛的工程社区将以基于软件的设计工具的形式访问这项研究的结果设计。