论文部分内容阅读
本文针对复合材料叠层板壳结构建立了一个分层计算的有限元模型,此模型的特点是以参考面的位移和各层横向剪应变作为独立的自变量,导出了叠层板壳的有限元模式,这是和原有分层模型的本质区别,从而具有以下优点:(1)刚度矩阵具有良好特性,可采用渐近法求解,大大提高了计算效率,克服了分层模型中的最大困难;(2)完全避免了较薄的板壳在有限元计算中常发生的“剪切自锁”现象;(3)较精确地考虑了各层的剪切效应,无须再引入剪切修正系数。还采用此模型较好地解决了任意铺层的叠层板弯曲、叠层板脱层屈曲和承受任意载荷的轴对称叠层壳的弯曲等问题,证明了此模型的优点和可靠性。此模型还极易推广应用于叠层板壳的动力、稳定和层间应力等问题。
In this paper, a finite element model of laminated calculation is established for the composite laminated shell structure. The model is characterized by the displacement of the reference plane and the transverse shear strain of each layer as independent variables, and the finite Metamodel, which is the essential difference with the original hierarchical model, which has the following advantages: (1) Stiffness matrix has good characteristics, can be used asymptotic method to solve, greatly improving the computational efficiency, to overcome the maximum of the stratified model Difficulty; (2) completely avoid the phenomenon of “shear self-locking” which often occurs in the finite element calculation of thin plate; (3) more accurately consider the shear effect of each layer, without the need to introduce the shear correction coefficient . This model is also used to solve the problems of bending of laminated boards, buckling of laminated boards and bending of axially symmetric laminated shells under arbitrary loads. The advantages and reliability of this model are also proved. The model is also easy to promote the application of laminated plate shell dynamics, stability and interlayer stress and other issues.