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
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。