考虑剪切变形RC框架结构非线性分析
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摘要
在钢筋混凝土桥梁和高层建筑结构中,由于柱轴压比的限制,在结构中经常形成短柱,地震时易发生脆性剪切破坏而导致结构破坏甚至倒塌。本文基于考虑弹塑性剪切变形的梁柱单元,建立了含短柱框架结构整体非线性分析的计算模型,编制了程序,在截面刚度矩阵中,剪切变形和轴向、弯曲变形不耦合,但是剪切和弯曲力在单元层面耦合。对钢筋混凝土框架结构的静力加载程序试验结果表明,改进后的纤维模型能够较好地描述钢筋混凝土框架整体结构在压、弯、剪荷载共同作用下的非线性性能。
In reinforced concrete tall building structures and bridge,the sections of the frame columns are larger and their shear-span ratios are smaller due to the limitation of the axial-compression ratio of the columns.Some short and even ultra short columns at the bottom floors of the structures are prone to brittle shear failure,which may result in damage and even collapse of the structures because of their poor ductility during earthquakes.On the base of beam-column element considering plastic shearing deformation,this paper presented simulating model of unitary nonlinear analysis of RC frame structure including short column.The program was presented.Shear deformations are thus uncoupled from axial and bending effects in the section stiffness,but shear and bending forces become coupled at the element level because equilibrium is enforced along the beam element.The results of simulation show that the model could describe the nonlinear performance of RC frame structure driven by load including axial compress,bending,and shear effects.
In reinforced concrete tall building structures and bridge,the sections of the frame columns are larger and their shear-span ratios are smaller due to the limitation of the axial-compression ratio of the columns.Some short and even ultra short columns at the bottom floors of the structures are prone to brittle shear failure,which may result in damage and even collapse of the structures because of their poor ductility during earthquakes.On the base of beam-column element considering plastic shearing deformation,this paper presented simulating model of unitary nonlinear analysis of RC frame structure including short column.The program was presented.Shear deformations are thus uncoupled from axial and bending effects in the section stiffness,but shear and bending forces become coupled at the element level because equilibrium is enforced along the beam element.The results of simulation show that the model could describe the nonlinear performance of RC frame structure driven by load including axial compress,bending,and shear effects.
引文
[1]黄宗明,陈滔.基于有限单元柔度法和刚度法的非线性梁柱单元比较研究[J].工程力学,2003,(5):24-31.
[2]陈滔,黄宗明.基于有限单元柔度法和刚度法的几何非线性空间梁柱单元比较研究[J].工程力学,2005,(3):24-31.
[3]姬守中,江欢成.考虑轴向变形、双轴弯曲耦合效应的钢筋混凝土柱的弹塑性分析[J].地震工程与工程振动,2002,(4):76-80.
[4]姬守中,江欢成,吕西林.双轴反复荷载作用下钢筋混凝土空间框架结构滞回全过程分析[J].力学季刊,2002,(4):455-462.
[5]秦从律,张爱晖.基于截面纤维模型的弹塑性时程分析方法[J].浙江大学学报(工学版),2005,(7):1003-1008.
[6]Marini,Alessandra;Spacone,Enrico.Analysis of reinforced con-crete elements including shear effects.ACI Structural Journal,2006,103(5):645-655.
[7]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,2002.
[8]陈笃.塑性力学概要[M].北京:高等教育出版社,2005.
[2]陈滔,黄宗明.基于有限单元柔度法和刚度法的几何非线性空间梁柱单元比较研究[J].工程力学,2005,(3):24-31.
[3]姬守中,江欢成.考虑轴向变形、双轴弯曲耦合效应的钢筋混凝土柱的弹塑性分析[J].地震工程与工程振动,2002,(4):76-80.
[4]姬守中,江欢成,吕西林.双轴反复荷载作用下钢筋混凝土空间框架结构滞回全过程分析[J].力学季刊,2002,(4):455-462.
[5]秦从律,张爱晖.基于截面纤维模型的弹塑性时程分析方法[J].浙江大学学报(工学版),2005,(7):1003-1008.
[6]Marini,Alessandra;Spacone,Enrico.Analysis of reinforced con-crete elements including shear effects.ACI Structural Journal,2006,103(5):645-655.
[7]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,2002.
[8]陈笃.塑性力学概要[M].北京:高等教育出版社,2005.
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