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为了准确反映宽翼薄壁工字形曲梁上下翼板(b1≠b2)的剪滞变化幅度,分别对上下翼板设置了一个不同的剪滞纵向位移差函数(U 1(z),U 2(z))。该文以最小势能原理为基础,考虑弯曲和翘曲扭转的因素,引入剪力滞后和剪切变形效应的影响,建立了曲线工字形梁的控制微分方程和自然边界条件,获得了弯、扭、翘和剪滞效应相耦合的广义位移的闭合解,提出了一种对该类结构更加准确的力学分析方法。算例中,该文解析解与板壳有限元结果吻合较好,证明了该文方法的有效性。
In order to accurately reflect the shear lag variation of the upper and lower flanges (b1 ≠ b2) of the wide-wing thin-walled I-beam, a different shear displacement difference function (U 1 (z), U 2 (z)). Based on the principle of minimum potential energy, considering the factors of bending and warpage, the influence of shear lag and shearing deformation is introduced to establish the governing differential equation and the natural boundary conditions of the curved I-beam. , Alice and shear lag effect coupled with the generalized displacement of the closed solution, a more accurate analysis of such structures mechanical analysis. In the example, the analytical solution of this paper is in good agreement with the finite element results of the shell, which proves the effectiveness of the method.