摘要
本文通过对两侧受有共线、反向的集中载荷的柱壳在线性情况下的节点位移的两例计算,分析了等参薄壁柱壳元素的剪切闭锁与薄膜闭锁以及利用降阶Gauss积分时的沙漏模态的原因,并利用T.Belytschko等人的γ-法对柱壳元素的沙漏模态进行稳定,表明γ-法不仅可用于Facette元素,而且对四边形、四节点的等参柱壳元素也有很大作用,但稳定的结果并不十分理想.本文还解释了γ-法的数学及力学意义,并给出了新的表达方法.
By means of two calculation examples of the node displacement for the pinched cylinder with or without diaphragm in the geometric linear conditions, the shear and membrane locking phenomenon in the thin iso-parametric cylinder she'll element and the cause for the hourglass modes by the reduced Gauss integration are analysed.And the hourglass modes in the cylindric shell element are stabilized with the γ-method of T.Belytschko et al.The calculation results show that the γ-method not only can be used for the facette elements, but also has a great effect on the four sides, four nodes isoparametric cylindric elements.However the sta-bilization results are not very satisfactory.Lastly, an explanation on the mathematic and the mechanical meanings of the y-method is given.
出处
《哈尔滨工程大学学报》
EI
CAS
CSCD
1989年第1期92-106,共15页
Journal of Harbin Engineering University
关键词
圆柱面壳
沙漏模态
剪切锁定
薄膜锁定
降阶积分
有限元法
cylindrical shell
hourglass modes
shear locking
membrane locking
reduced integration
limited element method
