摘要
等几何分析(IsoGeometric Analysis,IGA)具有几何模型精确,分析精度高和收敛速度快等优点,但积分效率不高、边界条件处理复杂.因此,提出一种IGA与有限元直接耦合的方法,将有限元与IGA交界处节点自由度用等几何控制节点直接表示出来,从而形成IGA与有限元的耦合单元.算例分析表明,该方法与常规有限元法相比具有精度高的特点,与IGA相比具有施加边界条件方便的优点.
The IsoGeometric Analysis （IGA） has the advantages such as exact geometric model, high accuracy and fast convergence rate. However, the integral efficiency is not high and the boundary conditions are complex. A direct coupling method between IGA and finite element is propsed. The degree of node freedom between finite element and IGA are represented directly by isogeometric control nodes, thus the new coupling elements between IGA and finite element are generated. The examples show that the results are more accurate than that of the normal finite element method and the boundary condition loading is more convenient than IGA.
出处
《计算机辅助工程》
2014年第2期31-36,共6页
Computer Aided Engineering
基金
国家自然科学基金(51179063)
中央高校基本科研业务费(2011B03014)
关键词
等几何分析
有限元
直接耦合法
节点自由度
isogeometric analysis
finite element
direct coupling method
degree of node freedom
