带转角自由度的三角形三棱柱单元

A TRIANGULAR ELEMENT AND TWO TRIANGULAR PRISM ELEMENTS WITH ROTATIONAL DOF

摘要: 本文提出了一个带转角自由度平面三角形单元、两个带转角自由度空间三棱柱单元。对平面单元每个结点有两个线位移自由度、一个转角自由度;对空间单元每个结点有三个线位移自由度、三个转角自由度。这些单元列式简单,其中两个无多余零能模式,数值计算表明,它们的计算精度高。

Abstract: Three elements with rotational DOF are presented: a 3-node triangular element which has two translational and a rotational DOFs per node, two 6-node triangular prism elements which have three translational and three rotational DOFs per node. These elements with sample formulation do not contain any spurious zero energy mode. Numerical results demonstrate that the elements have very good accuracy.