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几何精确非协调等几何NURBS有限元 被引量：3

NONCONFORMING ISOGEOMETRIC ANALYSIS BASED ON NURBS WITH EXACT GEOMETRY
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摘要 论文尝试将传统的非协调有限元技术推广到等几何有限元领域,建立了基于精确几何的非协调等几何分析方法,旨在拓展等几何分析应用范围,以便于等几何分析技术能真正实现CAD和FEA的融合,从而真正实现了无需划分网格的目的.我们定义了非协调的NURBS几何(类似非协调元),给出了NURBS曲面之间几何弱连续的充分条件,进而定义了非协调的等几何分析,将之归纳为带约束驻值问题,并用拉格朗日方法进行求解.两个算例证明这种方法的有效性.未来的工作主要是证明这种方法在不同几何连续性条件下的收敛性以及将之应用到更广的领域. Inspired by the idea of the nonconforming finite element method, and intending to address the incompatible CAD geometry for isogeometric analysis, a new isogeometric method called Noncon-forming Isogeometric Analysis （NIGA） is proposed in this paper. The main purpose is to apply the isogeo-metric analysis directly to the trimmed NURBS models for structural analysis. This can lead to an efficient method for the isogeometric analysis of both general and complicated engineering structure. Numerical re-sults verify the efficiency of the present method.
作者 祝雪峰 马正东 胡平
机构地区 大连理工大学汽车工程学院工业装备结构分析重点实验室 密歇根大学工学院机械工程系
出处 《固体力学学报》 CAS CSCD 北大核心 2012年第5期487-492,共6页 Chinese Journal of Solid Mechanics
基金 国家自然科学基金重点项目(10932003) 863项目(2009AA04Z101) "973"国家重点基础研究发展规划项目(2010CB832700)资助
关键词 非协调的等几何分析 等几何分析 有限元 基于NURBS的有限元 非协调的有限元 CAD和CAE集成 nonconforiming isogeometric analysis,isogeometric analysis,nonconforming finite elementmethod,isogeometric methods, NURBS-based finite element method
分类号 TB115 [理学—应用数学] TP391.7 [自动化与计算机技术—计算机应用技术]
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参考文献10

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同被引文献36

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固体力学学报
2012年 第5期

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