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Selective finite element refinement in torsional problems based on the membrane analogy

机译:基于膜类比的扭转问题中的选择性有限元细化

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摘要

This work presents a selective finite element refinement strategy based on the h-refinement type, in the context of a posteriori error estimates considerations (error computed after the application of the proposed refining scheme), based on a graphical procedure to determine progressively better estimates for the maximum shearing stress in prismatic torsional members. It is structured in an integrated FORTRAN code and DELPHI based environment to refine an initial arbitrary finite element mesh. The proposed procedure is founded on the membrane analogy that exists between membrane deflections and the torsion problem in the sense that the location of the membrane largest gradient drives the refining procedure. It is shown that multiple level application of the proposed method to two members with different cross sectional geometries with known analytic solutions leads to progressively more accurate estimates ( < 1.0% error in most cases) for the maximum shearing stresses calculations. Finally, the proposed method is applied to the torsional analysis of an L section member, showing that for this practical case the procedure results in a very accurate calculation as well.
机译:这项工作提出了基于h细化类型的选择性有限元细化策略,在后验误差估计考虑因素(应用所提出的细化方案后计算出的误差)的背景下,基于图形化程序来确定逐步更好的估计棱柱形扭转构件的最大剪切应力。它在集成的FORTRAN代码和基于DELPHI的环境中构造,以细化初始的任意有限元网格。所提出的程序是建立在存在于膜变形和扭转问题之间的膜类比的基础上的,即膜最大梯度的位置驱动了精制过程。结果表明,对已知横截面几何形状不同的两个构件采用已知的解析解进行多级应用,可以得出最大剪应力计算的逐步准确的估计值(大多数情况下,误差<1.0%)。最后,将所提出的方法应用于L型材的扭转分析,结果表明,对于这种实际情况,该程序也可以实现非常精确的计算。

著录项

  • 来源
    《Finite elements in analysis & design》 |2009年第9期|547-554|共8页
  • 作者单位

    Centra de Metodos Numericos en Ingenieria, Escuela de Ingenieria y Ciencias Aplicadas, Universidad de Oriente, Venezuela;

    Centra de Metodos Numericos en Ingenieria, Escuela de Ingenieria y Ciencias Aplicadas, Universidad de Oriente, Venezuela;

    Centra de Metodos Numericos en Ingenieria, Escuela de Ingenieria y Ciencias Aplicadas, Universidad de Oriente, Venezuela;

    Deportment of Aeronautics, Imperial College, London, UK;

    Escuela de Ingenieria Mecanica, Universidad del Zulia, Venezuela;

  • 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

    selective h-refinement; finite elements; membrane analogy; torsion; maximum shearing stress;

    机译:选择性h提纯有限元膜类比;扭转最大剪切应力;

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