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Element free galerkin formulation of composite beams with longitudinal and transverse partial interactions

机译:具有纵向和横向局部相互作用的复合梁的无单元伽勒金公式

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摘要

Partial interaction between two different materials of composite beam is consequent from longitudinal slip and transverse uplift effects at interfacial surface. The behaviour has yielded higher order differential equation as compared to beam that interacts fully. In this paper, a meshless approach for the analysis of composite beam with partial interaction by Element Free Galerkin (EFG) method is formulated and investigated. Discretized solely by nodes, the Moving Least Square (MLS) method is adopted for the EFG shape functions formulation and the variational approach is chosen in developing its Galerkin weak form. The weak form essential boundary conditions are enforced by Lagrange multiplier, where comparable results are obtained between developed EFG code and established analytical solutions. In addition, influence of various weight functions on shape function smoothness of EFG code is explored.
机译:两种不同材料的复合梁之间的局部相互作用是由于界面表面的纵向滑移和横向隆起效应引起的。与完全相互作用的光束相比,该行为产生了更高阶的微分方程。本文提出并研究了一种无网格法,通过无元素伽勒金(EFG)方法对具有部分相互作用的组合梁进行分析。 EFG形状函数公式仅采用节点离散,采用移动最小二乘(MLS)方法,在开发其Galerkin弱形式时选择变分方法。弱形式的基本边界条件由拉格朗日乘子强制执行,在此条​​件下,已开发的EFG代码与已建立的分析解决方案之间可获得可比的结果。此外,还探讨了各种权重函数对EFG代码的形状函数平滑度的影响。

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