Collaborative Research: GOALI: Virtual Sheet Metal Stamping Using Isogeometric Analysis

合作研究：GOALI：使用等几何分析的虚拟钣金冲压

• 批准号: 0700806
• 负责人: Thomas J Hughes
• 金额: $ 18.26万
• 依托单位: University of Texas at Austin
• 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: 2007-08-01 至 2010-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0700806&HistoricalAwards=false
• 关键词: Collaborative; Research; GOALI; Virtual; Sheet

This collaborative research is a partnership between the University of California, San Diego, the University of Texas, Austin and Alcoa (Grant Opportunities for Academic Liaison with Industry "GOALI" partner). This research will develop finite elements for virtual sheet metal stamping using NURBS (Non-Uniform Rational B-Splines), the same functions used for representing the geometry in CAD-CAM packages. Current finite element methods approximate the geometry of the sheet metal and the dies with linear interpolation and therefore don't represent curves well. NURBS, however, are used in CAD-CAM because they can represent complicated curves exactly. The easiest advantage to appreciate is a NURBS finite element formulation has the generality in its kinematics to be completely compatible with the CAD-designed die unlike the polynomials used in current finite elements. NURBS are also very well behaved numerically, allowing length to thickness ratios of 1000:1 to be modeled with solid elements, eliminating the zero normal stress assumption of traditional shell formulations. Being able to model the sheet with solid elements allows more general kinematics through the thickness than the linear displacement field in standard shell element formulations, enhancing the accuracy. Introducing NURBS in finite element analysis will therefore increase its accuracy.This research is directly applicable to all engineering applications requiring the accurate analysis of linear (e.g., vibration) and nonlinear structural response. It initiates collaborative research between two universities and industry. It provides graduate students the rare opportunity to work with industry as part of their research, and will provide under represented groups of undergraduate students an opportunity to participate in research via the McNair Program at UCSD. Additionally, they will gain firsthand experience with industry through the collaboration with Alcoa.

这项合作研究是加利福尼亚大学圣地亚哥分校，德克萨斯大学，奥斯汀大学和ALCOA（与行业“ Goali”合作伙伴的学术联络机会）之间的合作伙伴关系。 这项研究将开发使用NURBS（不均匀理性B-Splines）虚拟金属冲压的有限元素，与代表CAD-CAM包装中几何形状相同的功能。当前的有限元方法近似钣金的几何形状和线性插值模具，因此不能很好地表示曲线。但是，NURB在CAD-CAM中使用，因为它们可以准确地表示复杂的曲线。最简单的优势是NURBS有限元公式具有其运动学的通用性，与当前有限元中使用的多项式不同，它与CAD设计的模具完全兼容。 NURB的行为表现也很好，可以用固体元素对长度与1000：1建模，从而消除了传统壳体配方的零正常应力假设。能够用固体元素对纸进行建模，可以通过厚度与标准壳元素配方中的线性位移场更通用的运动学，从而提高精度。因此，在有限元分析中引入NURB将提高其准确性。这项研究直接适用于所有需要对线性（例如振动）和非线性结构响应进行准确分析的工程应用。它启动了两所大学和行业之间的合作研究。它为研究生提供了与行业一起工作的难得的机会，这是他们研究的一部分，并将为代表的本科生提供一个机会，可以通过UCSD的McNair计划参加研究。此外，他们将通过与Alcoa的合作获得第一手在行业的经验。