万福磊, 李云贵. 一个用于大位移大转动非线性动力计算的显式梁元[J]. 工程力学, 2012, 29(11): 16-020. DOI: 10.6052/j.issn.1000-4750.2011.03.0109
引用本文: 万福磊, 李云贵. 一个用于大位移大转动非线性动力计算的显式梁元[J]. 工程力学, 2012, 29(11): 16-020. DOI: 10.6052/j.issn.1000-4750.2011.03.0109
WAN Fu-lei, LI Yun-gui. A BEAM ELEMENT WITH EXPLICIT ALGORITHMS FOR LARGE DISPLACEMENT AND LARGE ROTATION DYNAMIC ANALYSIS[J]. Engineering Mechanics, 2012, 29(11): 16-020. DOI: 10.6052/j.issn.1000-4750.2011.03.0109
Citation: WAN Fu-lei, LI Yun-gui. A BEAM ELEMENT WITH EXPLICIT ALGORITHMS FOR LARGE DISPLACEMENT AND LARGE ROTATION DYNAMIC ANALYSIS[J]. Engineering Mechanics, 2012, 29(11): 16-020. DOI: 10.6052/j.issn.1000-4750.2011.03.0109

一个用于大位移大转动非线性动力计算的显式梁元

A BEAM ELEMENT WITH EXPLICIT ALGORITHMS FOR LARGE DISPLACEMENT AND LARGE ROTATION DYNAMIC ANALYSIS

  • 摘要: 为了数值模拟建筑结构倒塌过程中的梁柱构件,建立了一个具有大位移大转动非线性动力计算能力的显式梁元。该梁元基于显式有限元单元理论,采用更新拉格朗日列式,考虑了转动的不可交换性,选用共旋(Co-Rotational)方法分离单元刚体位移和变形位移,通过应力更新算法来考虑材料的非线性。算例表明该梁元力学性能良好,具有一定的工程应用价值。

     

    Abstract: In order to simulate beams and columns during the process of building collapse, a nonlinear beam element with explicit algorithms was studied. Based on the explicit finite element theory, the element adopted the updated Lagrange formulation, considered the non-swapable rotation and applied the Co-Rotational method to separate the deformation displacement and rigid displacement. The material nonlinearity was considered through the stress-update algorithm. The numerical result shows that the beam element used for the engineering numerical simulation has very good mechanical performances.

     

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