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Vibration Analysis of Steel-Concrete Composite Box Beams considering Shear Lag and Slip

机译：考虑剪力滞后和滑移的钢混凝土组合箱形梁的振动分析

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摘要

In order to investigate dynamic characteristics of steel-concrete composite box beams, a longitudinal warping function of beam section considering self-balancing of axial forces is established. On the basis of Hamilton principle, governing differential equations of vibration and displacement boundary conditions are deduced by taking into account coupled influencing of shear lag, interface slip, and shear deformation. The proposed method shows an improvement over previous calculations. The central difference method is applied to solve the differential equations to obtain dynamic responses of composite beams subjected to arbitrarily distributed loads. The results from the proposed method are found to be in good agreement with those from ANSYS through numerical studies. Its validity is thus verified and meaningful conclusions for engineering design can be drawn as follows. There are obvious shear lag effects in the top concrete slab and bottom plate of steel beams under dynamic excitation. This shear lag increases with the increasing degree of shear connections. However, it has little impact on the period and deflection amplitude of vibration of composite box beams. The amplitude of deflection and strains in concrete slab reduce as the degree of shear connections increases. Nevertheless, the influence of shear connections on the period of vibration is not distinct.
机译：为了研究钢-混凝土组合箱形梁的动力特性，建立了考虑轴向力自平衡的梁截面纵向翘曲函数。根据汉密尔顿原理，考虑剪切滞后，界面滑移和剪切变形的耦合影响，推导了控制振动和位移边界条件的微分方程。所提出的方法显示出对先前计算的改进。应用中心差分法求解微分方程，获得任意分布荷载作用下复合梁的动力响应。通过数值研究发现，所提方法的结果与ANSYS的结果非常吻合。从而验证了其有效性，可以得出如下对工程设计有意义的结论。在动力激励下，混凝土梁的顶板和底板的剪力滞后效应明显。该剪切滞后随着剪切连接度的增加而增加。但是，它对组合箱形梁振动的周期和挠度影响很小。随着剪切连接度的增加，混凝土板的挠度和应变幅度减小。然而，剪切连接对振动周期的影响并不明显。

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  • 来源
    《Mathematical Problems in Engineering》 |2015年第5期|601757.1-601757.8|共8页
  • 作者

    Zhou Wangbao; Li Shu-jin; Jiang Lizhong; Qin Shiqiang;

  • 作者单位

    Wuhan Univ Technol, Sch Civil Engn & Architecture, Wuhan 430070, Peoples R China.;

    Wuhan Univ Technol, Sch Civil Engn & Architecture, Wuhan 430070, Peoples R China.;

    Cent S Univ, Sch Civil Engn, Changsha 410075, Hunan, Peoples R China.;

    Wuhan Univ Technol, Sch Civil Engn & Architecture, Wuhan 430070, Peoples R China.;

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