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轴力和双向弯矩作用下钢筋混凝土构件正截面极限承载力分析需要通过迭代调整截面中性轴的位置和方向以使截面应力积分与给定的外荷载满足平衡条件。为提高截面应力积分的计算效率和求解精度,提出了一种新型快速应力积分算法。考虑到混凝土应力-应变曲线为分段函数的特点,该方法基于迭代步中的应变分布将截面单元分解为多个积分子域,并通过二次等参映射和高斯数值积分方法对各子域进行应力积分。该方法在迭代过程中无需对初始网格信息做任何修改,可适用于任意形状的钢筋混凝土构件正截面极限承载力分析。通过算例分析,考察了方法的计算效率和有效性。
Analysis of the ultimate bearing capacity of reinforced concrete members under axial force and two-way bending moment needs to adjust the position and direction of the neutral axis of the section through iteration so that the stress integral of the section and the given external load satisfy the equilibrium condition. In order to improve the computational efficiency and accuracy of cross-sectional stress integration, a new fast stress integration algorithm is proposed. Considering that the stress-strain curve of concrete is a piecewise function, this method decomposes the cross-section element into multiple integral sub-domains based on the strain distribution in the iterative step. By using the second-order isoparametric mapping and the Gauss numerical integration method, Stress integration. The method does not need to modify the initial mesh information in the iterative process and can be applied to the analysis of the ultimate bearing capacity of normal section of reinforced concrete members of arbitrary shape. Through the example analysis, the computational efficiency and validity of the method are investigated.