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首页> 外文期刊>Applied Mathematical Modelling >Interaction curves for vibration and buckling of thin-walled composite box beams under axial loads and end moments
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Interaction curves for vibration and buckling of thin-walled composite box beams under axial loads and end moments

机译：薄壁组合箱形梁在轴向载荷和弯矩作用下的振动和屈曲相互作用曲线

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摘要

Interaction curves for vibration and buckling of thin-walled composite box beams with arbitrary lay-ups under constant axial loads and equal end moments are presented. This model is based on the classical lamination theory, and accounts for all the structural coupling coming from material anisotropy. The governing differential equations are derived from the Hamilton's principle. The resulting coupling is referred to as triply flexural-tor-sional coupled vibration and buckling. A displacement-based one-dimensional finite element model with seven degrees of freedoms per node is developed to solve the problem. Numerical results are obtained for thin-walled composite box beams to investigate the effects of axial force, bending moment, fiber orientation on the buckling loads, buckling moments, natural frequencies and corresponding vibration mode shapes as well as axial-moment-frequency interaction curves.
机译：给出了在恒定轴向载荷和相等端矩作用下，任意叠合的薄壁复合箱形梁的振动和屈曲相互作用曲线。该模型基于经典的叠层理论，并考虑了所有来自材料各向异性的结构耦合。控制微分方程是从汉密尔顿原理导出的。所产生的耦合称为三重挠曲-扭转耦合振动和屈曲。为了解决该问题，建立了基于位移的一维有限元模型，每个节点具有七个自由度。获得了薄壁组合箱形梁的数值结果，以研究轴向力，弯矩，纤维取向对屈曲载荷，屈曲力矩，固有频率和相应的振动模式形状以及轴向-矩-频率相互作用曲线的影响。

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