项目名称: 基于IGA与T样条技术的冲压有限元软件关键技术研究
项目编号: No.51305016
项目类型: 青年科学基金项目
立项/批准年度: 2014
项目学科: 机械、仪表工业
项目作者: 王伟
作者单位: 北京航空航天大学
项目金额: 25万元
中文摘要: 等几何分析(IGA,IsoGeometric Analysis)是一种用精确描述的几何模型作为分析模型来对物理过程进行计算模拟的技术。IGA相对传统的有限元分析在精度和效率上均有明显的优势,因此出现后迅速成为理论界关注的焦点。但目前IGA的理论体系还尚未完善,在计算单元生成、动态问题求解等方面有很多基础性问题有待深入探索。基于这种现状,本项目将探讨在金属冲压件这类复杂曲面模型的IGA建模中,生成相容性网格的方法,并研究IGA模型局部非结构化网格的自适应细化算法和T样条在IGA中应用的关键技术,以突破当前IGA技术无法应用于复杂模型求解的问题,形成更完备的IGA理论体系。本项目属于金属材料与信息科学交叉技术的前沿领域,对于理论界和工业界实现更为高效的新型数值计算方法具有重要的理论价值和实际意义。
中文关键词: 等几何;T样条;计算机辅助设计;非均匀有理B样条;
英文摘要: IGA(IsoGeometric Analysis)is the name of a new kind of technology that uses accurate geometry model as the analysis model in the procedure of simulation for physical process. Compared with classical FEM, IGA has improved both accuracy and efficiency of the analysis work, hence it becomes a theoretical focus soon after its relevation. But nowadays the theoretical system of IGA is far from being perfect and several basic problems need to be explored thoroughly such as the element generation and its dynamic structural applications. Based on the research status of IGA, this project will study the method of generating compatible mesh elements in IGA modeling for complex surfaces as used in metal stamping part design. The adaptive local unstructured refinement algorithms for IGA mesh as well as the key technology for using T-spline in IGA framework will also be investigated in this project, through which the bottleneck of employing IGA for complex model will be resolved and a more complete IGA theoretical system can be established. This project is engaged within the interdisciplinary frontiers of both metallography and information science, and will be helpful for the academic and industry sphere to implement more efficient numerical method.
英文关键词: IGA;T-spline;CAD;NURBS;