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Influence of initial geometrical imperfections on thermal stability of laminated composite plates using layerwise finite element

机译:初始几何缺陷对层状有限元层压复合板热稳定性的影响

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In this paper, the influence of initial geometrical imperfections on thermal stability of laminated composite plates using Layer wise plate model is presented. The mathematical model assumes layer wise variation of in-plane displacements, non-linear strain-displacement relations (in von Karman sense) and linear thermo mechanical material properties. The Koiter's model for initial geometrical imperfection is adopted. Principle of virtual displacements (PVD) is used to derive Euler-Lagrange differential equations of linearized buckling problem. The weak form is discretized using nine-node Lagrangian isoparametric finite element. The original MATLAB program is coded for finite element solution. The effects of imperfection mode and amplitude, temperature distribution, side to thickness ratio b/h, aspect ratio b/a, boundary conditions and lamination scheme on critical buckling temperature are analysed. The accuracy of the numerical model is verified by comparison with the available results from the literature and new results are presented.
机译:本文基于逐层板模型,给出了初始几何缺陷对层压复合板热稳定性的影响。该数学模型假设面内位移、非线性应变-位移关系(在冯·卡门意义上)和线性热机械材料属性的层状变化。采用Koiter模型的初始几何缺陷。利用虚拟位移原理(PVD)推导了线性屈曲问题的欧拉-拉格朗日微分方程.使用九节点拉格朗日等参数有限元对弱形式进行离散化。原始 MATLAB 程序是针对有限元解编写的。分析了缺陷模态和幅值、温度分布、边厚比b/h、长宽比b/a、边界条件和叠片方案对临界屈曲温度的影响。通过与文献的比较验证了数值模型的准确性,并提出了新的结果。

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