具有改进膜性能的DKMQ24壳单元
DKMQ24 shell element with improved membrane behaviour
摘要:
提出了一种改进Katili等人(2015)提出的24自由度四节点壳单元DKMQ24的膜性能的方法。这种改进是基于对钻孔旋转的不同近似,基于奥尔曼的形状函数。此外,元素配方是通过使用剪切项的选择性减少积分和按比例缩放的惩罚常数的壳厚度增强。此外,节点力矩修正的近似分布的正常负载的建议。该单元被称为DKMQ24 $_2$ +,在线性弹性的情况下,在九个标准基准问题上进行了测试。该单元是免费的剪切和膜锁定,并表现出较低的数值误差膜和膜为主的问题。
英文摘要:
An approach to improve the membrane behaviour of the four-node shell element with 24 degrees of freedom DKMQ24 proposed by Katili et al. (2015) is presented. This improvement is based on a different approximation of drilling rotations, based on Allman's shape functions. Further, the element formulation is enhanced by the use of selective reduced integration of shear terms and by the proportional scaling of the penalty constant to the shell thickness. Additionaly, nodal moment corrections for the approximation of distributed normal loads are proposed. This element, called DKMQ24$_2$+, was tested on nine standard benchmark problems for the case of linear elasticity. The element is free of shear and membrane locking and shows lower numerical errors for membrane and membrane-dominated problems.
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