三维壳体等几何分析方法研究

Research on 3D Shell Isogeometric Analysis Method

以NURBS基函数离散位移场实现了三维空间壳体的等几何分析。首先给出了基于NURBS基函数的壳体单元形状和位移场的表示,而后推导了单元刚度阵的表达形式;并通过数值实例表明了文中等几何壳体分析方法的有效性与正确性。

Based on Reissner-Mindlin theory, an isogeometric analysis for 3D shell was proposed. First the element shape and displacement were represented with the NURBS basis functions, and then the element stiffness matrix was deduced. The validity of the proposed isogeometric shell analysis was verified with a numerical example of a 3D shell analysis method.