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Finite element models with node-dependent kinematics for the analysis of composite beam structures

机译:具有节点相关运动学的有限元模型,用于分析组合梁结构

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摘要

This paper presents refined one-dimensional models with node-dependent kinematics. The three-dimensional displacement field is discretized into two domains, namely cross-section domain and axis domain. The mechanical behaviors of the beam can be firstly captured by the cross-section functions then interpolated by the nodal shape functions of the beam element. Such a feature makes it possible to adopt different types of cross-section functions on each element node, obtaining node-dependent Idnematic finite element models. Such models can integrate Taylor-based and Lagrange-type nodal kinematics on element level, bridging a less-refined model to a more refined model without using special coupling methods. FE governing equations of node-dependent models are derived by applying the Carrera Unified Formulation. Some numerical cases on metallic and composite beam-like structures are studied to demonstrate the effectiveness of node-dependent models in bridging a locally refined model to a global model when local effects should be accounted for. (C) 2017 Elsevier Ltd. All rights reserved.
机译:本文提出了具有节点相关运动学的精制一维模型。三维位移场离散为两个区域,即截面区域和轴区域。可以首先通过截面函数捕获梁的机械性能,然后通过梁元件的节点形状函数进行内插。这样的特征使得有可能在每个元素节点上采用不同类型的横截面函数,从而获得依赖于节点的Idnematic有限元模型。这样的模型可以在元素级别上集成基于泰勒的和拉格朗日类型的节点运动学,从而在不使用特殊耦合方法的情况下,将较不精确的模型桥接到更精确的模型。节点依赖模型的有限元控制方程是通过应用Carrera统一公式得出的。研究了金属和复合梁状结构的一些数值案例,以证明当需要考虑局部效应时,节点依赖模型在将局部优化模型桥接到全局模型中的有效性。 (C)2017 Elsevier Ltd.保留所有权利。

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