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中文摘要：
本文编制了基于二阶柔度法纤维模型梁柱单元的矩形钢管混凝土框架结构非线性分析程序，采用虚拟阶步法和改进的滞回路径追踪方法消除了其中截面切线刚度矩阵奇异时无法求逆的隐患，提高了算法的稳定性。运用此程序对矩形钢管混凝土柱进行滞回仿真，并与试验结果对比，结果表明：柔度法纤维模型梁柱单元可以有效解决框架结构的几何非线性问题和压弯耦合的材料非线性问题，使用较少的单元数量就可以得到较准确的计算结果；本文所采用的改进措施切实有效，保证了程序的稳定性。
英文摘要：
Based on the flexibility-based fiber-model beam-column element models for the second order analysis, a nonlinear CFRT frame structural analysis program was developed, in which several improving measures were proposed to solve the problem that strange section stiffness matrix can not seek the inverse and improve the stability of the program. Then, the hysteretic simulation analysis of CFRT columns was carried out and the analysis results can effectively solve the material and geometrically nonlinear problems of frame structures and the improving measures ensure the stability of the program.
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