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为了研究双层悬臂板对箱梁畸变效应的影响,在对箱形截面畸变角给出一般定义的基础上,提出一种类似于箱梁约束扭转分析的畸变效应解析法。应用基于最小势能原理的能量变分法,建立双层悬臂板箱梁的畸变控制微分方程及相应边界条件,并通过算例详细分析了下层悬臂板对畸变双力矩、翘曲应力及横截面畸变中心的影响。结果表明:用该解析法计算的畸变翘曲应力与ANSYS壳单元及梁段单元的计算结果均吻合良好;随着下层悬臂板长度的增大,双层悬臂板箱梁的畸变双力矩表现出先增大后减小的变化规律,当下层悬臂板相对长度为1.2时,畸变双力矩达到最大值;双层悬臂板箱梁的角点翘曲应力随下层悬臂板相对长度的增大而减小;当下层悬臂板的相对长度较小时,箱梁截面的畸变中心高于截面形心。
In order to study the influence of double-layer cantilever on the distortion of box girder, a distortion analysis method similar to that of box beam torsion analysis is proposed based on the general definition of box-section distortion angle. By using the method of energy variation based on the principle of least potential energy, the governing differential equations and the corresponding boundary conditions of two-layer cantilever beam are established. The influence of the lower cantilever plate on the torsional moment, warpage stress and cross-section distortion Center of influence. The results show that the distortion warpage calculated by the analytical method is in good agreement with the ANSYS shell element and beam element calculation results. As the length of the lower cantilever plate increases, the double moment of double-layer cantilever beam shows the first When the relative length of the lower cantilever plate is 1.2, the double moment of distortion reaches the maximum. The corner warp stress of the double-cantilever plate girder decreases with the relative length of the lower cantilever plate increasing When the relative length of the lower cantilever plate is small, the center of distortion of the section of the box girder is higher than the centroid of the section.