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Static analysis of thin-walled beams accounting for nonlinearities
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science ( IF 2 ) Pub Date : 2021-10-14 , DOI: 10.1177/09544062211032997
M Petrolo 1 , MH Nagaraj 1 , E Daneshkhah 1 , R Augello 1 , E Carrera 1
Affiliation  

This paper presents numerical results concerning the nonlinear analysis of thin-walled isotropic structures via 1 D structural theories built with the Carrera Unified Formulation (CUF). Both geometrical and material nonlinearities are accounted for, and square, C- and T-shaped beams are considered. The results focus on equilibrium curves, displacement, and stress distributions. Comparisons with literature and 3 D finite elements (FE) are provided to assess the formulation’s accuracy and computational efficiency. It is shown how 1 D models based on Lagrange expansions of the displacement field are comparable to 3 D FE regarding the accuracy but require considerably fewer degrees of freedom.



中文翻译:

考虑非线性的薄壁梁的静力分析

本文通过使用 Carrera 统一公式 (CUF) 构建的一维结构理论,介绍了有关薄壁各向同性结构非线性分析的数值结果。考虑了几何和材料非线性,并考虑了方形、C 形和 T 形梁。结果集中在平衡曲线、位移和应力分布上。提供了与文献和 3D 有限元 (FE) 的比较,以评估公式的准确性和计算效率。它显示了基于位移场的拉格朗日展开式的 1 D 模型如何在精度方面与 3 D FE 相当,但需要的自由度要少得多。

更新日期:2021-10-14
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