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
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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.
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.
引文
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[13]李淑春,刁波,叶英华等.斜向水平反复荷载作用下L形截面柱抗震性能试验及损伤分析[J].工业建筑,2008,38(16):30-34,57.
[2]杜宏彪,沈聚敏.在任意加载路径下双轴弯曲钢筋混凝土柱的非线性分析[J].地震工程与工程振动,1990,10(3):24-30.
[3]Giberson M F.Two nonlinear beams with definities ofductility[J].Journal of the Structure,ASCE.1969,95:137-157.
[4]Soleimani D.Reinforced concrete ductile frames underearthquake loading with stiffness degradation[D].California:Dissertation,University of California Berkeley,1978.
[5]焦俊婷,叶英华,刁波.钢筋混凝土偏压构件截面非线性分析高斯积分[J].北京航空航天大学学报,2003,29(4):370-373.
[6]叶英华,焦俊婷.双向偏压钢筋混凝土异形构件截面分析的简化方法[J].建筑结构学报,2004,25(6):83-87.
[7]叶英华,刁波.Nonlinear analysis of concrete structure[M].哈尔滨:哈尔滨工业大学出版社,1993.
[8]徐向东.单周及低周反复荷载作用下T形截面框架柱受剪性能的试验研究[J].建筑结构,1999,(1):27-30.
[9]王振武,何培玲,赵艳静.十字形截面钢筋混凝土双向压弯柱延性的试验及理论研究[J].建筑结构,1999,(1):35-37.
[10]田承昊.异形柱框架抗震性能试验研究及其有限元分析[D].天津:天津大学,2005.
[11]张学辉.带宽肢的混凝土异形柱框架抗震性能试验研究[D].天津:天津大学,2005.
[12]李淑春.钢筋混凝土异形柱框架结构非弹性损伤分析[D].北京:北京航空航天大学,2007.
[13]李淑春,刁波,叶英华等.斜向水平反复荷载作用下L形截面柱抗震性能试验及损伤分析[J].工业建筑,2008,38(16):30-34,57.
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