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Nonlinear in-plane buckling of shallow laminated arches incorporating shear deformation under a uniform radial loading

机译：在均匀径向载荷下施加剪切变形的浅层层压拱的非线性面平面屈曲

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摘要

This paper is concerned with the nonlinear in-plane buckling of shear deformable laminated composite shallow arches under a uniform radial loading. The virtual work method is used to establish both governing differential equations and buckling equilibrium equations based on the first order shear deformation theory to include the effect of shear deformation for which analytical solutions for both limit point buckling and bifurcation point buckling are derived. A specific parameter that defines the switch between buckling and pre-buckling, limit point buckling and bifurcation buckling is proposed and defined. The effect of shear deformation on the buckling load is discussed in detail. It is observed from typical equilibrium paths of the arch that the shear deformation decreases the critical buckling load of laminated arches and this effect becomes more important and cannot be neglected for fixed arches with slenderness ratio S/r(x) 150 and pinned arches with S/r(x) 100. Direct comparisons with finite element results demonstrate that the proposed analytical solutions can provide a good prediction for the nonlinear buckling of shallow laminated arches under a uniform radial loading.
机译：本文涉及在均匀径向载荷下剪切可变形层压复合浅拱的非线性面内屈曲。虚拟工作方法用于基于第一阶剪切变形理论建立控制微分方程和屈曲平衡方程，包括剪切变形的效果，其中导出了限制点屈曲和分叉点屈曲的分析解。提出并定义了一种定义屈曲和预屈曲，限位点弯曲和分叉屈曲之间的开关的特定参数。详细讨论了剪切变形对屈曲负荷的影响。从拱形的典型平衡路径观察到剪切变形降低了层压拱的临界屈曲负荷，并且这种效果变得更加重要，并且对于具有细长比S / R（x）<150并与固定拱的固定拱门不能忽略S / R（X）<100.具有有限元结果的直接比较表明，所提出的分析解决方案可以在均匀的径向载荷下对浅层层压拱的非线性屈曲的良好预测。

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  • 来源
    《Composite Structures》 |2020年第11期|112732.1-112732.9|共9页
  • 作者

    Zhang Zixiang; Liu Airong; Yang Jie; Pi Yong-lin; Huang Yonghui; Fu Jiyang;

  • 作者单位

    Guangzhou Univ Guangzhou Univ Tamkang Univ Joint Res Ctr Engn St Guangzhou Peoples R China;

    Guangzhou Univ Guangzhou Univ Tamkang Univ Joint Res Ctr Engn St Guangzhou Peoples R China;

    RMIT Univ Sch Engn POB 71 Bundoora Vic 3083 Australia;

    Univ New South Wales Ctr Infrastruct Engn & Safety Sch Civil & Environm Engn UNSW Sydney NSW Australia;

    Guangzhou Univ Guangzhou Univ Tamkang Univ Joint Res Ctr Engn St Guangzhou Peoples R China;

    Guangzhou Univ Guangzhou Univ Tamkang Univ Joint Res Ctr Engn St Guangzhou Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Laminated arches; Shear deformation; In-plane; Buckling; Neutral axis;

    机译：层压拱门;剪切变形;在平面内;屈曲;中性轴;

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