一种新型剪力墙多垂直杆单元模型:原理和应用
|
摘要
在经典梁理论的基础上提出了一种新的多垂直杆单元模型。新模型的横向位移函数为沿纵向三次式,单元刚度矩阵中考虑了轴向拉压变形与剪切变形的相互作用以及弯曲变形与剪切变形的相互作用。每个单元在纵向采用了四根竖向弹簧,用四段常数应变来拟合线性变化的纵向正应变,一定程度上反映了纵向正应变沿纵向坐标的变化。计算精度随单元高宽比的增加下降极少,减少了单元的划分数量,加快计算速度,并且对于各种荷载组合,均有着较高的计算精度,适应面较广。最后通过算例,并与试验结果比较,表明该模型具有较好的计算精度,可适用于高层建筑结构的弹塑性静力和动力分析。
Based on the classical beam theory, a new type of multi-vertical-line-element model of shear walls is proposed. The transverse displacement function of the new model is cubic along longitudinal direction. In stiffness matrix, the interaction of axial deformation, bending deformation and shear deformation is considered. Four vertical springs are used in longitudinal direction of the element, so the longitudinal normal strain is fitted by four constant normal strains. The calculation accuracy is not affected by the increase of aspect ratio nearly, thus the calculation speed is imporved due to the small number of elements. Good accuracy is achieved under various load combinations. Finally, an example shows that the model can yield good accuracy and can be used in the elastic-plastic static analysis and dynamic analysis of high rise building structures.
Based on the classical beam theory, a new type of multi-vertical-line-element model of shear walls is proposed. The transverse displacement function of the new model is cubic along longitudinal direction. In stiffness matrix, the interaction of axial deformation, bending deformation and shear deformation is considered. Four vertical springs are used in longitudinal direction of the element, so the longitudinal normal strain is fitted by four constant normal strains. The calculation accuracy is not affected by the increase of aspect ratio nearly, thus the calculation speed is imporved due to the small number of elements. Good accuracy is achieved under various load combinations. Finally, an example shows that the model can yield good accuracy and can be used in the elastic-plastic static analysis and dynamic analysis of high rise building structures.
引文
[1]Kabeyasawa T,Shioara H,Otani S U S.Japan cooperative research on R/C full-scale building test-part5:Discussion on dynamic response system[C].Proceedings of the8th WCEE,1984,6:627―634.
[2]Vulcano A,Bertero V V,Colotti V.Analytical modeling of R/C structural walls[C].Proceedings of the9th WCEE,1988,6:41―46.
[3]孙景江,江近仁.高层建筑抗震墙非线性分析的扩展铁木辛哥分层梁单元[J].地震工程与工程振动,2001,21(2):78―83.Sun Jingjiang,Jiang Jinren.Extended layered Timoshenko beam element for nonlinear analysis of RC high-rise buildings with structural walls[J].Earthquake Engineering and Engineering Vibration,2001,21(2):78―83.(in Chinese)
[4]汪梦甫,周锡元.钢筋混凝土剪力墙多垂直杆单元模型的改进及其应用[J].建筑结构学报,2002,23(1):38―42,57.Wang Mengfu,Zhou Xiyuan.The improved parallel multi-component model for the nonlinear seismic response analysis of RC walls and its application[J].Journal of Building Structures,2002,23(1):38―42,57.(in Chinese)
[5]陈伯望,王海波,沈蒲生.剪力墙多垂直杆单元模型的改进和应用[J].工程力学,2005,22(3):183―189.Chen Bowang,Wang Haibo,Shen Pusheng.An improved multi-vertical-truss-element model of shear wall and its application[J].Engineering Mechanics,2005,22(3):183―189.(in Chinese)
[6]Saatcioglu M,Takayanagi T,Derecho A T.Dynamic response of reinforced concrete wall systems[C].Proceedings of the7th WCEE,1980,5:49―56.
[7]江近仁,孙景江,丁世文,陈惠民.轴向循环荷载下钢筋混凝土柱的试验研究[J].世界地震工程,1998,14(4):12―16,29.Jiang Jinren,Sun Jingjiang,Ding Shiwen,Chen Huimin.Experimental study on RC columns subjected to axial cyclic loading[J].World Information on Earthquake Engineering,1998,14(4):12―16,29.(in Chinese)
[8]GB50010—2002,混凝土结构设计规范[S].2002.GB50010—2002,Code for design of concrete structures[S].2002.(in Chinese)
[9]张令心,杨桦,江近仁.剪力墙的剪切滞变模型[J].世界地震工程,1999,15(2):9―16.Zhang Lingxin,Yang Hua,Jiang Jinren.Hysteretic shear models for shear-wall[J].World Information on Earthquake Engineering,1999,15(2):9―16.(in Chinese)
[10]蒋欢军,吕西林.用一种墙体单元模型分析剪力墙结构[J].地震工程与工程振动,1998,18(3):40―48.Jiang Huanjun,Lu Xilin.Analysis of shear wall structures using a type of wall element[J].Earthquake Engineering and Engineering Vibration,1998,18(3):40―48.(in Chinese)
[11]李宏男,李兵.钢筋混凝土剪力墙抗震恢复力模型及试验研究[J].建筑结构学报,2004,25(5):35―42.Li Hongnan,Li Bing.Experimental study on seismic restoring performance of reinforced concrete shear wall[J].Journal of Building Structures,2004,25(5):35―42.(in Chinese)
[2]Vulcano A,Bertero V V,Colotti V.Analytical modeling of R/C structural walls[C].Proceedings of the9th WCEE,1988,6:41―46.
[3]孙景江,江近仁.高层建筑抗震墙非线性分析的扩展铁木辛哥分层梁单元[J].地震工程与工程振动,2001,21(2):78―83.Sun Jingjiang,Jiang Jinren.Extended layered Timoshenko beam element for nonlinear analysis of RC high-rise buildings with structural walls[J].Earthquake Engineering and Engineering Vibration,2001,21(2):78―83.(in Chinese)
[4]汪梦甫,周锡元.钢筋混凝土剪力墙多垂直杆单元模型的改进及其应用[J].建筑结构学报,2002,23(1):38―42,57.Wang Mengfu,Zhou Xiyuan.The improved parallel multi-component model for the nonlinear seismic response analysis of RC walls and its application[J].Journal of Building Structures,2002,23(1):38―42,57.(in Chinese)
[5]陈伯望,王海波,沈蒲生.剪力墙多垂直杆单元模型的改进和应用[J].工程力学,2005,22(3):183―189.Chen Bowang,Wang Haibo,Shen Pusheng.An improved multi-vertical-truss-element model of shear wall and its application[J].Engineering Mechanics,2005,22(3):183―189.(in Chinese)
[6]Saatcioglu M,Takayanagi T,Derecho A T.Dynamic response of reinforced concrete wall systems[C].Proceedings of the7th WCEE,1980,5:49―56.
[7]江近仁,孙景江,丁世文,陈惠民.轴向循环荷载下钢筋混凝土柱的试验研究[J].世界地震工程,1998,14(4):12―16,29.Jiang Jinren,Sun Jingjiang,Ding Shiwen,Chen Huimin.Experimental study on RC columns subjected to axial cyclic loading[J].World Information on Earthquake Engineering,1998,14(4):12―16,29.(in Chinese)
[8]GB50010—2002,混凝土结构设计规范[S].2002.GB50010—2002,Code for design of concrete structures[S].2002.(in Chinese)
[9]张令心,杨桦,江近仁.剪力墙的剪切滞变模型[J].世界地震工程,1999,15(2):9―16.Zhang Lingxin,Yang Hua,Jiang Jinren.Hysteretic shear models for shear-wall[J].World Information on Earthquake Engineering,1999,15(2):9―16.(in Chinese)
[10]蒋欢军,吕西林.用一种墙体单元模型分析剪力墙结构[J].地震工程与工程振动,1998,18(3):40―48.Jiang Huanjun,Lu Xilin.Analysis of shear wall structures using a type of wall element[J].Earthquake Engineering and Engineering Vibration,1998,18(3):40―48.(in Chinese)
[11]李宏男,李兵.钢筋混凝土剪力墙抗震恢复力模型及试验研究[J].建筑结构学报,2004,25(5):35―42.Li Hongnan,Li Bing.Experimental study on seismic restoring performance of reinforced concrete shear wall[J].Journal of Building Structures,2004,25(5):35―42.(in Chinese)
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心