基于埋置梁广义位移法的桩基拱式渡槽受力分析

Analysis of arch aqueduct on pile foundation based on generalized displacement method for built-in beam

  • 摘要: 桩基拱式渡槽包含梁柱与块体结构,采用有限元分析时应分别采用梁单元与等参单元离散,存在梁单元与等参单元之间转角位移协调问题。从梁单元节点作为主节点的广义位移公式出发,建立了梁单元节点作为从节点时其转动位移与所埋置等参单元节点位移之间的埋置梁广义位移表达式。通过设置不同的网格尺寸和单元刚度,研究了梁单元与等参单元之间采用主从或从主广义位移模式对桩基上拱式渡槽结构分析的适用性,并将分析结论应用于某拱式渡槽的受力分析。研究结果表明,在保证计算精度的前提下,埋置梁广义位移法有效提高了计算效率,可用于梁板柱与块体结构的相互作用分析。

     

    Abstract: The arch aqueduct on pile foundation is formed by beam-column and block structure. The structure should be discretized to beam element and isoparametric element respectively in finite element method analysis. But there is a problem of how to overcome the coordination of corner displacement between beam elements and isoparametric elements. Based on the generalized displacement formula of the beam element node as the master node, the generalized displacement expression between the rotational displacement of the beam element node and the displacement of the embedded isoparametric element node is established. By setting different grid sizes and element stiffness, the applicability of master-slave or slave-master generalized displacement mode between beam element and isoparametric element for structural analysis of arch aqueduct on pile foundation is studied and discussed. The method is also applied to the analysis of an arch aqueduct project. The research results can be popularized to all the interaction problems between beam, slab, column and block structure.

     

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