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Corotational formulation for nonlinear dynamics of beams with arbitrary thin-walled open cross-sections

机译:具有任意薄壁开口截面的梁的非线性动力学的修正公式

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摘要

A new consistent corotational formulation for nonlinear dynamics of beams with arbitrary thin-walled cross-section is presented. The novelty is that the warping deformations and the eccentricity of the shear center are fully taken into account. Therefore, additional terms are introduced in the expressions of the inertia force vector and the tangent dynamic matrix. Their contribution is then investigated considering several numerical examples. Besides, the element has seven degrees of freedom at each node and cubic shape functions are used to interpolate local transverse displacements and axial rotations. The formulation's accuracy is assessed considering five examples with comparisons against 3D-solid solutions.
机译:为任意薄壁截面的梁的非线性动力学提出了一种新的一致的修正公式。新颖之处在于充分考虑了翘曲变形和剪切中心的偏心率。因此,在惯性力矢量和切线动态矩阵的表达式中引入了附加项。然后考虑几个数值示例研究其贡献。此外,该单元在每个节点上具有七个自由度,并且使用三次方函数来插值局部横向位移和轴向旋转。通过考虑五个示例并与3D-solid解决方案进行比较来评估配方的准确性。

著录项

  • 来源
    《Computers & Structures》 |2014年第4期|112-127|共16页
  • 作者单位

    Universite Europeenne de Bretagne, INSA de Rennes - LGCGM/Structural Engineering Research Group, 20 avenue des Buttes de Coeesmes, CS 70839, 35708 Rennes Cedex 7, France,KTH, Royal Institute of Technology - Department of Civil and Architectural Engineering, SE-10044 Stockholm, Sweden;

    KTH, Royal Institute of Technology - Department of Civil and Architectural Engineering, SE-10044 Stockholm, Sweden;

    Universite Europeenne de Bretagne, INSA de Rennes - LGCGM/Structural Engineering Research Group, 20 avenue des Buttes de Coeesmes, CS 70839, 35708 Rennes Cedex 7, France;

  • 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

    Thin-walled; Corotational method; Nonlinear dynamics; 3D beam elements; Finite rotations;

    机译:薄壁比例法;非线性动力学;3D梁元素;有限旋转;

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