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首页> 外文期刊>Journal of thermal stresses >Unified finite element approach for generalized coupled thermoelastic analysis of 3D beam-type structures, part 2: Numerical evaluations
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Unified finite element approach for generalized coupled thermoelastic analysis of 3D beam-type structures, part 2: Numerical evaluations

机译：用于3D梁型结构的广义耦合热弹性分析的统一有限元方法，第2部分：数值评估

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摘要

This article aims to evaluate the high-fidelity one-dimensional finite elements that have been proposed in the companion article (Part 1). Simple structural configurations that are subjected to different loading and boundary conditions have been considered to demonstrate the generality of the proposed approach. Static, quasi-static, and dynamic analyses of the coupled and uncoupled thermoelasticity have been performed. The kinematics of the beam elements have been obtained using bidimensional Lagrangian expansions with different polynomial orders. In particular, bilinear, biquadratic, and bicubic expansions have been adopted to approximate both displacements and temperature change field. Convergence studies have been performed by considering finite beam elements with two, three, and four nodes. Analytical and numerical solutions have been reported to validate the current results. Besides time histories of displacements and temperature changes, the results have been presented using contour plots to highlight the three-dimensional capabilities of the refined beam elements.
机译：本文旨在评估伴随文章（第1部分）中提出的高保真一维有限元。已经考虑了经受不同载荷和边界条件的简单结构构造，以证明所提出方法的一般性。对耦合和非耦合热弹性进行了静态，准静态和动态分析。梁单元的运动学已使用具有不同多项式阶次的二维拉格朗日展开式获得。特别地，已经采用双线性，双二次和双三次膨胀来近似位移和温度变化场。通过考虑具有两个，三个和四个节点的有限梁单元进行了收敛研究。已报告分析和数值解决方案以验证当前结果。除了位移和温度变化的时间历程之外，还使用等高线图显示了结果，以突出显示精制梁单元的三维功能。

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