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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。
For the finite element analysis of composite laminated shells, this paper presents a prediction-correction method based on the Reissner-Mindlin global displacement field. Firstly, the predicted value of the global response (such as deflection, frequency and buckling load) is calculated according to the general finite element analysis (without introducing the shear correction coefficient); then the Lagrangian interpolation is used to construct the general form of transverse shear stress, Continuous and zero on the surface, the transverse shear stress is obtained by fitting the three-dimensional stress balance equation by the least square method; finally, the shear correction coefficient is calculated and introduced on the unit, and then the global response correction value is calculated through the finite element analysis.