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A nodal integration axisymmetric thin shell model using linear interpolation

机译:使用线性插值的节点积分轴对称薄壳模型

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摘要

This paper proposed a nodal integration model for elasto-static, free vibration, forced vibration and geometric nonlinear analyses of axisymmetric thin shells using two-node truncated conical elements. The formulation is based on the Kirchhoff-Love theory, in which only the two translational displacements are treated as the independent field variables. A gradient smoothing technique (GST) is employed to relax the continuity requirement for trial function, so that linear shape functions can be used to interpolate both the tangent and normal displacement fields to the meridian. Based on each node, the integration domains are further formed, where the membrane strains and curvature changes are computed using a strain smoothing operation incorporated with a tensor transformation manipulation. The smoothed Galerkin weak-form is then used to establish the discretized system equations. In order to accurately track the deformation path in geometric nonlinear analysis, the Newton-Raphson iteration in conjunction with the arc-length technique are employed here to solve the equilibrium equation. Numerical examples demonstrate that the present method can achieves higher accuracy and lower computing cost compared with the conventional finite element model.
机译:本文提出了一个节点积分模型,用于使用两节点截断圆锥形单元的轴对称薄壳的弹性静力,自由振动,强迫振动和几何非线性分析。该公式基于基尔霍夫-洛夫(Kirchhoff-Love)理论,其中仅将两个平移位移视为独立的场变量。梯度平滑技术(GST)用于放松对试验函数的连续性要求,以便可以使用线性形状函数将切线和法向位移场插值到子午线上。基于每个节点,进一步形成积分域,其中使用结合了张量变换操作的应变平滑操作来计算膜的应变和曲率变化。然后将平滑的Galerkin弱形式用于建立离散系统方程。为了在几何非线性分析中准确地跟踪变形路径,这里采用牛顿-拉夫森迭代法和弧长技术来求解平衡方程。数值算例表明,与常规有限元模型相比,该方法可以实现更高的精度和更低的计算成本。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2016年第4期|2720-2742|共23页
  • 作者

    X.Y. Cui; G. Wang; G.Y. Li;

  • 作者单位

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China,Joint Center for Intelligent New Energy Vehicle, Shanghai 201804, PR China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China,Joint Center for Intelligent New Energy Vehicle, Shanghai 201804, PR China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China,Joint Center for Intelligent New Energy Vehicle, Shanghai 201804, PR 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

    Numerical methods; Nodal integration; Axisymmetric thin shell structure; Elasto-static analysis; Dynamic analysis; Geometric nonlinear analysis;

    机译:数值方法;节点整合;轴对称薄壳结构;弹性静力分析;动态分析;几何非线性分析;

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