带转动自由度的轴对称四边形单元

A Quadrilateral Axisymmetric Element with Rotating Degree of freedom

在节点增加角旋转自由度的基础上构造任意四边形轴对称单元协调的位移模式 ,为了提高精度 ,消除几何敏感性和适应不可压缩材料 ,在协调的基础上又引入三个非协调的内部位移函数和泡状函数作为附加位移场。数值计算表明由此构造的新单元的性能更好。

A quadrilateral axisymmetric element with rotating degree of freedom at the vertex nodes is derived. For improving the precision of the element, decreasing the sensitivity of element geometry and applying it to nearly incompressible materials, three non conforming displacement functions and a “bubble” function are selected as the intemal freedom of the element. The results of the numerical examples show that the performance of the new element is fine.