Shear deformable beam model for stability analysis of beam-type structures with composite thin-walled cross sections

D. Banić, G. Turkalj, D. Lanc, S. Kvaternik Simonetti
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引用次数: 0

Abstract

This paper presents a shear deformable numerical model for nonlinear stability analysis of beam-type structures. The incremental equilibrium equations for a straight thin-walled beam element are derived within the framework of updated Lagrangian formulation and the nonlinear displacement field of cross-sections, which accounts for the restrained warping and the large rotations effects. Shear deformation effects are accounted for the composite cross-section considering bending-bending and bending-warping torsion coupling effects. Cross-section properties are calculated based on the reference modulus, with ability to model different material configurations. A numerical algorithm for calculation of the geometric properties of composite cross-section is developed. Various material configurations are considered. Several benchmark examples are demonstrated for verification purposes. The obtained results indicate that the proposed model can be classified as shear locking free one.
复合薄壁截面梁型结构稳定性分析的剪切变形梁模型
本文提出了用于梁型结构非线性稳定性分析的剪切变形数值模型。在考虑约束翘曲和大旋转效应的截面非线性位移场框架下,采用更新的拉格朗日公式推导了直薄壁梁单元的增量平衡方程。考虑弯曲-弯曲和弯曲-翘曲扭转耦合效应,考虑复合材料截面的剪切变形效应。截面性能是基于参考模量计算的,具有模拟不同材料结构的能力。提出了一种计算复合材料截面几何特性的数值算法。考虑了各种材料配置。为了验证目的,演示了几个基准示例。计算结果表明,该模型可归为无剪切锁紧模型。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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