摘要
对于复合材料层合壳的有限元分析,本文根据Reissner-Mindlin型的全局位移场给出了一个预测-修正法。首先按照一般的有限元分析过程(没有引入剪切修正系数)计算出全局响应(如挠度,频率和屈曲载荷等)的预测值;然后利用Lagrange插值构造横向剪应力的一般形式,使得满足层间连续和表面上为零的条件,通过最小二乘法拟合三维应力平衡方程获得横向剪应力;最后在单元上计算和引入剪切修正系数,再经过有限元分析计算出全局响应的修正值。
Based on the Reissner Mindlin type global displacement field, a predictor corrector method for finite element analysis of laminated composite shells was introduced. First, the global response predictor (such as deflection, frequency and buckling load) was computed from the general finite element analysis procedure without using shear correction factor. Secondly, by mean of 3-D stress equilibrium equations and Lagrange's interpolation, the least-square fit was adopted to determine the transverse shear stress. Finally, the shear correction factor for each element was estimated and the global response corrector was calculated by the incorporating shear correction factor.
出处
《力学季刊》
CSCD
北大核心
2004年第3期317-321,共5页
Chinese Quarterly of Mechanics
关键词
复合材料层合壳
有限元
预测一修正法
剪切修正系数
横向剪应力
laminated composite shells
finite element
predictor corrector method
shear correction factor
transverse shear stress
