基于双重高斯积分的钢筋混凝土任意截面梁柱单元模型及应用  

RC arbitrary cross-section beam-column element model based on double Gauss integration and application

作　　者：刁波[1] 李淑春[1] 叶英华[1] 

机构地区：[1]北京航空航天大学土木工程系,北京100083

出　　处：《建筑结构学报》2007年第S1期202-207,212,共7页Journal of Building Structures

基　　金：国家自然科学基金(50678016);北京市自然科学基金(8052014);国家教育振兴行动计划(BHB985-1-04)资助

摘　　要：精确地建立梁柱单元模型是钢筋混凝土杆系工程结构非线性分析的关键。依据虚位移原理,耦合钢筋混凝土材料非线性和几何非线性,推导出任意形状截面钢筋混凝土梁柱单元模型。单元积分采用沿横截面二维高斯积分和沿梁柱单元长度一维高斯积分的双重高斯积分算法,使钢筋混凝土非线性梁柱单元积分更加简单和精确。应用所提出的梁柱单元模型和单元双重高斯积分方法编制了相应的结构有限元分析程序(STA-D),对13个异形(L形、T形、十字形)截面柱、3榀异形柱框架结构进行非弹性分析,理论分析结果与试验结果吻合较好。Beam-column element modeling is one of the main issues in nonlinear analysis of RC structures.The RC beam-column element model are derived based on principle of virtual work and material constitutive laws,which consider material nonlinearity and geometry nonlinearity.The element is integrated around the reinforced concrete cross-section and along the beam-column elemental axis with double Gauss integration method,which makes the RC nonlinear beam-column element integration simple and accurate.The non-elastic analysis program(STA-D) of RC structures with arbitrary cross-sections is developed,based on the derived elemental model and integrated methods.Non-elastic analysis results of 13 RC columns and 3 frames with special shaped columns correspond very well to the experimental data.

关 键 词：钢筋混凝土 梁柱单元模型 高斯积分法 非弹性分析 

分 类 号：TU375[建筑科学—结构工程]