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Flexural and eigen-buckling analysis of steel-concrete partially composite plates using weak form quadrature element method

界面滑移钢-混凝土组合板弹性弯曲及稳定性的弱形式求积元分析

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Abstract

Flexural and eigen-buckling analyses for rectangular steel-concrete partially composite plates (PCPs) with interlayer slip under simply supported and clamped boundary conditions are conducted using the weak form quadrature element method (QEM). Both of the derivatives and integrals in the variational description of a problem to be solved are directly evaluated by the aid of identical numerical interpolation points in the weak form QEM. The effectiveness of the presented numerical model is validated by comparing numerical results of the weak form QEM with those from FEM or analytic solution. It can be observed that only one quadrature element is fully competent for flexural and eigen-buckling analysis of a rectangular partially composite plate with shear connection stiffness commonly used. The numerical integration order of quadrature element can be adjusted neatly to meet the convergence requirement. The quadrature element model presented here is an effective and promising tool for further analysis of steel-concrete PCPs under more general circumstances. Parametric studies on the shear connection stiffness and length-width ratio of the plate are also presented. It is shown that the flexural deflections and the critical buckling loads of PCPs are significantly affected by the shear connection stiffness when its value is within a certain range.

摘要

利用抗剪连接件将钢板与钢筋混凝土板进行组合形成的钢-混凝土组合板, 能充分发挥混凝土 和钢材优越的材料性能, 在建筑、桥梁结构的新建和加固中得到了广泛应用. 由于抗剪连接件的非完全刚性, 在对钢-混凝土组合板进行力学分析时, 应对界面滑移效应进行充分考虑. 本文采用弱形式 求积元法对矩形钢-混凝土组合板在简支和固支边界条件下的弯曲和特征值屈曲问题进行了分析. 弱形式求积元法的显著特点是利用同一组插值点直接计算待求解问题弱形式描述中的积分和导数, 通过 调整单元的阶次来满足待求解问题的收敛要求. 通过与现有文献中有限元及解析解的数值结果进行比较, 验证了本文数值模型的高效性. 对于工程中常见抗剪连接刚度的矩形钢-混凝土组合板, 仅用一 个求积元单元就能得到满意的计算结果. 进一步的参数化研究表明, 当抗剪连接件的连接刚度在特定范围内变化时, 其对钢-混凝土组合板的弯曲变形和临界屈曲荷载有显著影响.

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Authors and Affiliations

  1. Undergraduate School, National University of Defense Technology, Changsha, 410072, China

    Jun Xia  (夏军) & Zhi-qiang Shen  (申志强)

  2. School of Aeronautics and Astronautics, Sun Yat-Sen University, Shenzhen, 518001, China

    Kun Liu  (刘昆)

  3. School of Traffic and Transportation Engineering, Central South University, Changsha, 410075, China

    Cheng-ming Sun  (孙成名)

Authors
  1. Jun Xia  (夏军)
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  2. Zhi-qiang Shen  (申志强)
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  3. Kun Liu  (刘昆)
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  4. Cheng-ming Sun  (孙成名)
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Correspondence to Zhi-qiang Shen  (申志强).

Additional information

Foundation item: Project(51508562) supported by the National Natural Science Foundation of China; Project(ZK18-03-49) supported by the Scientific Research Program of National University of Defense Technology, China

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Xia, J., Shen, Zq., Liu, K. et al. Flexural and eigen-buckling analysis of steel-concrete partially composite plates using weak form quadrature element method. J. Cent. South Univ. 26, 3087–3102 (2019). https://doi.org/10.1007/s11771-019-4238-9

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