Presidential Young Investigator Award: High-Dimensional Paradigm in Geometric Design

总统青年研究员奖：几何设计的高维范式

• 批准号: 9057059
• 负责人: Joseph Pegna
• 金额: $ 10.99万
• 依托单位: Rensselaer Polytechnic Institute
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-08-01 至 1996-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9057059&HistoricalAwards=false
• 关键词: Presidential; Young; Investigator; Award; Dimensional

Industrial computer-aided design and manufacturing packages live in the three-dimensional arena and it is assumed that solid objects are homogeneous and isotropic. These underlying assumptions are becoming invalid with the recent developments of new materials such as composite, and emerging manufacturing technologies such as plasma spray. Moreover, engineers are starting to integrate materials in the process of inhomogeneous structure design. A high-dimensional paradigm in geometric design will be developed to capture, visualize and assist in the design and manufacturing of inhomogeneous structures. Specific emphasis will be placed on scientific foundations for high-dimensional geometric representation and manufacturing integration.

工业计算机辅助设计和制造包存在于三维领域，并假设固体对象是均匀和各向同性的。随着复合材料等新材料和等离子喷涂等新兴制造技术的发展，这些基本假设正在变得无效。此外，工程师们开始在非均匀结构设计过程中整合材料。将开发几何设计中的高维范例，以捕捉、可视化和协助设计和制造非均匀结构。将特别强调高维几何表示和制造集成的科学基础。