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考虑了剪力滞后和剪切变形的影响,该文提出了一种对薄壁箱梁腹板静、动力学特性的分析方法。为了准确反应薄壁箱梁腹板的位移变化,三个广义位移被引入。利用能量变分原理建立了箱形梁腹板三个广义位移的控制微分方程和自然边界条件,据此对薄壁箱梁腹板的静、动力学特性进行了研究,获得了相应广义位移的闭合解。算例中,该文解析解与板壳有限元结果进行了比较,验证了该文方法的有效性,而腹板自振特性的研究从理论上进一步证明了静力分析的可靠性。
Considering the influence of shear lag and shear deformation, a method to analyze static and dynamic characteristics of thin-walled box girder webs is proposed. In order to accurately reflect the displacement of thin-walled box girder, three generalized displacements are introduced. The governing differential equations and the natural boundary conditions of three generalized displacements of box girder webs are established by using the principle of energy variation. Based on this, the static and dynamic characteristics of thin-walled box girder webs are studied and the corresponding generalized displacements Closed solution. In the example, the analytical solution of this paper is compared with the finite element results of the shell. The validity of this method is verified. The study of the natural vibration characteristics of the web further proves the reliability of the static analysis theoretically.