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与文献 [1 ]~ [5 ]求解薄壁箱梁剪力滞问题不同 ,以 REISSNER E[6]提出的能量变分为出发点 ,在综合考虑剪力滞剪切变形效应的基础上 ,利用最小势能原理建立了薄壁箱梁的控制微分方程 ,在获得方程解析解后 ,导出了可广泛应用于变截面梁、连续梁剪力滞剪切变形效应分析的有限元列式。算例表明 ,该计算方法简捷 ,计算结果精度高 ,便于实际应用 ,具有很高的工程使用价值。
Different from the literature [1] ~ [5] for solving the shear lag problem of thin-walled box girder, taking the energy variation proposed by REISSNER E [6] as a starting point, on the basis of comprehensive consideration of the shear deformation effect of shear lag, The governing differential equation of thin-walled box girder is established based on the potential energy principle. After the analytic solution of the equation is obtained, the finite element formulation which can be widely applied to the shear deformation analysis of shear beam and continuous girder is deduced. The example shows that the calculation method is simple, the calculation result has high precision and is convenient for practical application, which has a high engineering value.