几何非线性样条单元

 <正>结构的有限变形与稳定性分析具有重要意义。有限元法的应用,促进了几何非线性研究工作的开展。本文在线性样条单元C’〕的基础上提出一种几何非线性样条板壳单元,壳体的应变位移关系采用Von一K巨rmon方案,以分片样条Hermite插值构造单元的位移模式。对于弱非线性问题,采用修正的Newton一Raphson法解非线性方程组。对于极值点失稳情况,以固定弧长法追踪屈曲路径,并用曲线拟合的方法确定结构的临界载荷值。

GEOMETRICALLY NONLINEAR SPLINE ELEMENT

A series of geometrically nonlinear finite elements with spline interpolation schemes are presented in this paper for the analysis of large deflection and stability of plate/shell structures. The rectangular element for shallow shells and the sectorial element for shells of revolution are established, respectively. In the numerical examples, the problems of Large deflection, critical loads and post-buckling response are studied by using the spline elements.