任意截面钢筋混凝土柱单元模型

提出了任意截面钢筋混凝土梁柱结构体系的单元模型,该单元模型同时考虑了材料非线性和几何非线性对结构体系的影响.采用三次多项式模拟混凝土、钢筋的本构关系,所推导的单元刚度计算简单、概念清晰,是单元材料非线性刚度矩阵、几何非线性刚度矩阵和位移与内力相互作用矩阵的简单迭加.提出的任意截面钢筋混凝土柱单元模式,含义清楚、计算简便,可用于分析钢筋混凝土柱因材料破坏、失稳破坏或材料非线性与结构失稳综合产生的极限承载力计算,所建立的有限元模型很容易与其他有限元模型兼容.理论分析结果与实验结果吻合较好.

Analysis model of reinforced concrete column element with arbitrary section

An elemental model to analyze reinforced concrete beam-column structural system with arbitrary cross-section is derived.Both material nonlinearity and geometric nonlinearity are taken into account simultaneously in the model.The constitutive laws of concrete and steel bar are simulated by cubic-spline.The derived element model is simple to calculate and easy to understand.The derived elemental stiffness is simple addition of the material nonlinear stiffness matrix,geometric nonlinear stiffness matrix and matrix of interaction component between displacements and internal forces.The elemental model may be used to analyze the structural ultimate bearing capacities due to material failure,instability or combined material failure and instability.The derived elemental model is compatible with other finite element models.The theoretical results agree well with the experimental data.