钢筋混凝土剪力墙多垂直杆单元模型力学性质分析及其改进
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摘要
分析了多垂直杆单元的力学性质,证明了与之等效的梁单元的转角和横向位移的位移函数均为一次式,且该梁单元在求弯曲横向位移时,需采用1节点数值积分。讨论了多垂直杆单元模型转动中心c值的含义,认为c值反映了数值积分的求积节点或假设剪切应变插值点的变化,会对单元的刚度产生影响,并对c值的取值范围提出了合理建议。提出了竖向弹簧布置的改进方式,按高斯点布置代替均布方式时,能够用较少的弹簧得到更为精确的结果,提高了计算速度。最后,从横向位移模式和剪应力不均匀分布两个方面提出了改进多垂直杆单元模型的新构想。
The mechanical property of Multi-vertical-line-element model is analyzed.For the beam element whose behavior can be simulated with the multi-vertical-line-element model,the functions of rotation angle and lateral displacement are proved to be linear.To obtain the bending lateral displacement,one node numerical integration should be adopted.The meaning of c,the center of rotation of the Multi-vertical-line-element model,is discussed.It is figured out that the value of c reflects the variation of quadrature nodes and the influences of the element stiffness.Improved modes for the arrangements of vertical spring are put forward.Calculation efficiency is imporved if the springs are arranged at Gauss points rather than uniformaly.Finally,new idea to improve the model is presented.
The mechanical property of Multi-vertical-line-element model is analyzed.For the beam element whose behavior can be simulated with the multi-vertical-line-element model,the functions of rotation angle and lateral displacement are proved to be linear.To obtain the bending lateral displacement,one node numerical integration should be adopted.The meaning of c,the center of rotation of the Multi-vertical-line-element model,is discussed.It is figured out that the value of c reflects the variation of quadrature nodes and the influences of the element stiffness.Improved modes for the arrangements of vertical spring are put forward.Calculation efficiency is imporved if the springs are arranged at Gauss points rather than uniformaly.Finally,new idea to improve the model is presented.
引文
[1]吕西林,金国芳,吴晓涵.钢筋混凝土结构非线性有限元理论与应用[M].上海:同济大学出版社,1997.Lu Xilin,Jin Guofang,Wu Xiaohan.Theory and application of nonlinear finite element of reinforced concrete[M].Shanghai:Tongji University Press,1997.(in Chinese)
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[10]王勖成,邵敏.有限单元法基本原理和数值方法[M].北京:清华大学出版社,1997.Wang Xucheng,Shao Min.Finite element method:principle and numerical approach[M].Beijing:Tsinghua University Press,1997.(in Chinese)
[2]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 of8th WCEE,1984,6:627―634.
[3]Hiraishi H.Evaluation of Shear and flexural deformations of flexural type shear walls[J].Bulletin of the Newzealand National Society for Earthquake Engineering,1984,17(2):135―144.
[4]Vulcano A,Bertero V V,Colotti V.Analytical modeling of R/C structural walls[C].Proceedings of9th WCEE,1988,6:41―46.
[5]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)
[6]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)
[7]沈蒲生,王海波.剪力墙结构非线性地震反应分析[J].土木工程学报,2003,36(5):11―16.Shen Pusheng,Wang Haibo.Nonlinear secsmic response to shear wall structures[J].China Civil Engineering Journal,2003,36(5):11―16.(in Chinese)
[8]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)
[9]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)
[10]王勖成,邵敏.有限单元法基本原理和数值方法[M].北京:清华大学出版社,1997.Wang Xucheng,Shao Min.Finite element method:principle and numerical approach[M].Beijing:Tsinghua University Press,1997.(in Chinese)
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