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基于刚周边假设,考虑约束扭转时二次剪流对翘曲位移的影响及剪滞翘曲应力的自平衡条件,用能量变分法建立了考虑剪滞效应影响时薄壁曲线箱梁的挠曲扭转微分方程及相应边界条件,用伽辽金数值方法进行求解。针对单室梯形箱梁,给出了剪滞翘曲几何特性的一般公式。对两个有机玻璃箱梁模型的计算表明,理论值与实测值吻合良好,从而验证了该方法及基本公式的正确性。在导出的基本微分方程中,如果用扭角的一阶导数代替扭转翘曲广义位移,则方程蜕变为已有文献中不考虑二次剪流影响时的微分方程。
Based on the just assumption of the surrounding area and considering the effect of secondary shear flow on the warpage displacement and the self-balance condition of shear-lag warpage stress under constraint twisting, the energy dispersion method was used to establish the deflection of thin-walled curved box girder Curved torsion differential equation and the corresponding boundary conditions, using Galerkin numerical method for solving. For the single-chamber trapezoidal box girder, the general formula of the geometric characteristics of shear lag warpage is given. The calculation of two pylons box girder model shows that the theoretical value is in good agreement with the measured value, which verifies the correctness of the method and the basic formula. In the derived basic differential equation, if the torsional first derivative is substituted for the generalized torsional warping displacement, the equation is transformed into the differential equation in the prior literature without considering the influence of secondary shear.