框架梁梁端弯矩调幅计算方法研究

在建筑结构分析中，目前的调幅计算仅对各梁段进行弯矩调节，并未相应调整柱的内力，导致梁柱节点内力不平衡，并且也未考虑到梁刚度变化与梁调幅的关系。本文建议了一种针对结构整体的梁端弯矩调幅计算方法，考虑各梁段刚度变化，通过结构整体有限元分析，实现梁、柱及节点内力平衡的调幅计算。代表性算例计算结果表明，梁端刚度折减系数k_d与传统意义上的调幅系数δ之间存在如下关系:k_d=7.3δ2-9.8δ+3.5。

The Simplified Calculation Method of Floor Bending Stiffness

During the process of the structural analysis, the current amplitude, which only adjusts the beam moment while does not adjust the column internal forces, results in the unbalanced force in the beam-column joints, and does not consider the relation between the change of beam stiffness and the beam amplitude. This article explores one calculation method for the whole structure's amplitude, considering the stiffness change of the each beam. With the structure finite element analysis, the amplitude achieves the balance of beams, columns and joints internal force. Some representative examples of the results show that by reduction of beam end stiffness, the amplitude of frame could be done. When the reduction factor of beam end stiffness is equal to 0.4, the analysis result is consistent with the traditional amplitude coefficient of 0.85.