不规则截面钢筋混凝土梁柱单元模型及应用  

Element model of reinforced concrete members with irregularly shaped section and its application

作　　者：焦俊婷[1] 叶英华[1] 刁波[1] 

机构地区：[1]北京航空航天大学土木工程系

出　　处：《哈尔滨工业大学学报》2008年第4期636-639,665,共5页Journal of Harbin Institute of Technology

基　　金：国家自然科学基金资助项目(50448015)

摘　　要：为了更好地研究钢筋混凝土梁柱结构的非线性力学性能,建立考虑材料非线性和几何非线性耦合的钢筋混凝土梁柱单元模型.基于杆件分析的平截面假设和截面高斯积分法,应用钢筋和混凝土材料本构关系非线性,推导出不规则截面钢筋混凝土梁柱单元的截面刚度矩阵,进而通过虚功原理建立钢筋混凝土梁柱单元切线刚度矩阵;并采用弧长增量迭代法求解非线性方程组,编制不规则截面钢筋混凝土梁柱结构的数值分析程序.对规则和不规则截面钢筋混凝土框架进行了非线性全过程分析,理论分析结果与试验结果比较,吻合较好.表明所建立的钢筋混凝土梁柱单元模型适用于钢筋混凝土梁柱结构的非线性力学分析;由于采用截面高斯积分法,对不规则截面的梁柱结构计算显得十分便捷.In order to research nonlinear behavior of reinforced concrete （RC） frames, the element model of RC members was developed considering the couple of material nonlinearity and geometry nonlinearity. Based on the plane assumption and the section Gauss numerical integration method of member analysis, the simple formula of section stiffness for RC members with irregularly shaped section was derived, and the element tangent stiffness matrix of RC members with irregularly shaped section was developed using virtual work principle. The nonlinear equation set was solved by the arc - length iteration method. The numerical program of RC frames with regularly or irregularly shaped sections was developed. Some RC frames with regularly or irregularly shaped sections were traced by full path. The theoretical results were compared with existing experimental data, and they are in good agreement. This shows that the developed element model of RC members may be feasible to analyse the nonlinear behaviors of RC frames, and the analysis of RC frames with irregularly shaped sections is more simple and faster for the usage of the section Gauss numerical integration method.

关 键 词：钢筋混凝土 截面高斯积分法 不规则截面 梁柱单元模型 

分 类 号：TU375[建筑科学—结构工程]