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为了模拟裂缝宏观发展规律,兼顾计算精度与效率的平衡,基于Euler-Bernoulli分层梁单元基本理论,并以材料塑性理论和数值方法为基础,着力于非线性不平衡力的精细计算,提出了带刚臂的分层梁单元法,消除了由于中性轴移动带来的计算误差。在此基础上编制了非线性计算程序,进行了2组钢筋混凝土梁破坏全过程的算例分析,以及预应力混凝土梁带裂缝工作阶段试验数据对比。研究结果表明:该方法能准确反映不同轴力下混凝土梁的材料非线性性能。
In order to simulate the law of macroscopic development of fractures and to balance the accuracy and efficiency of the calculation, based on the basic theory of Euler-Bernoulli layered beam elements, and based on the material plasticity theory and numerical method, the nonlinear computations of nonlinear unbalance forces are put forward. Stratified beam element method with rigid arm eliminates the calculation error caused by the movement of neutral axis. Based on this, a nonlinear calculation program was compiled and the whole process of two groups of reinforced concrete beams was analyzed. The comparison of the experimental data of the prestressed concrete beam with cracks was also made. The results show that this method can accurately reflect the nonlinear behavior of concrete beams under different axial forces.