宽翼薄壁工字形曲梁剪滞效应的能量变分法

ENERGY-VARIATIONAL METHOD FOR THE ANALYSIS OF SHEAR LAG EFFECT OF THIN-WALLED CURVED I-BEAMS WITH WIDE FLANGE

  • 摘要: 为了准确反映宽翼薄壁工字形曲梁上下翼板( )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 。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。

     

    Abstract: Two longitudinal displacement difference functions are employed to accurately describe the variation of shear lag in thin-walled curved I-beams with different widths of wing slabs ( ). Thus, a new approach is proposed to analyze the mechanical characteristics of curved I-beams, considering the effect of flexure , warping torsion , shear deformation and shear lag effects. The minimum potential principle is applied to establish the governing differential equations and corresponding natural boundary conditions. And closed-form solutions of generalized displacements are obtained. A comparison was made among the finite shell element solutions, the traditional method solutions and analytical solutions proposed by this paper, and the validity of the proposed approach is verified.

     

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