考虑剪切变形的RC结构梁柱单元模型
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摘要
基于纤维模型有限单元柔度法,考虑轴向、弯曲和剪切效应,对钢筋混凝土结构承受单调荷载作用进行非线性分析.应用多轴应力状态下的塑性应力-应变关系理论,在单元模型中考虑了弹塑性区域剪切变形对单元弹塑性刚度的影响,建立能够考虑梁柱非线性剪切变形的纤维单元在复杂加载历史中的切线刚度矩阵.在所建立的截面刚度矩阵中,剪切变形和轴向、弯曲变形不耦合,而剪切和弯曲力在单元层面耦合,且在梁单元上满足力的平衡关系.将计算结果和钢筋混凝土柱的加载试验结果相比较,验证了模型的有效性.
The RC structure under monotonic loading was analyzed,including axial bending and shear effects.Based on the plastic stress-strain theory of multi-axis stress state,and taking into account of shear deformation in plastic region to stiffness of the element,the tangent flexibility matrix which accounts for nonlinear shear deformation of column element during the complex loading was set up.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 model is validated by comparing calculated values with experimental data on the shear performance of columns.
The RC structure under monotonic loading was analyzed,including axial bending and shear effects.Based on the plastic stress-strain theory of multi-axis stress state,and taking into account of shear deformation in plastic region to stiffness of the element,the tangent flexibility matrix which accounts for nonlinear shear deformation of column element during the complex loading was set up.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 model is validated by comparing calculated values with experimental data on the shear performance of columns.
引文
[1]Scott M H,Filippou F C.Response gradients for nonli-near beam-column elements under large displacements[J].Journal ofStructural Engineering,2007,133(2):155-165.
[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,2005,22(3):31-38.Chen Tao,Huang Zongming.Comparison between flexi-bility-based and stiffness-based geometrically nonlinear beam-column elements[J].Engineering Mechanics,2005,22(3):31-38.(in Chinese)
[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,2002,22(4):74-80.Ji Shouzhong,Jiang Huancheng.Plasto-elastic analysis of reinforced concrete column under biaxial bending and varying axial force[J].Earthquake Engineering and En-gineering Vibration,2002,22(4):74-80.(in Chi-nese)
[4]Scott M H,Fenves G L.Plastic hinge integration methods for force-based beam-column elements[J].Journal ofStructural Engineering,2006,132(2):244-252.
[5]Marini A,Spacone E.Analysis of reinforced concrete el-ements including shear effects[J].ACI Structural Jour-nal,2006,103(5):645-655.
[6]Ramin M V,Matamoros A B.Shear strength of rein-forced concrete members subjected to monotonic loads[J].ACI Structural Journal,2006,103(1):83-92.
[7]Choi K K,Park HG,Wight J K.Unified shear strength model for reinforced concrete beams—partⅠ:develop-ment[J].ACIStructural Journal,2007,104(2):142-152.
[8]伍永飞.钢筋混凝土框架结构静力非线性分析程序研制[D].上海:同济大学土木工程学院,2007.
[9]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,2005,22(3):31-38.Chen Tao,Huang Zongming.Comparison between flexi-bility-based and stiffness-based geometrically nonlinear beam-column elements[J].Engineering Mechanics,2005,22(3):31-38.(in Chinese)
[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,2002,22(4):74-80.Ji Shouzhong,Jiang Huancheng.Plasto-elastic analysis of reinforced concrete column under biaxial bending and varying axial force[J].Earthquake Engineering and En-gineering Vibration,2002,22(4):74-80.(in Chi-nese)
[4]Scott M H,Fenves G L.Plastic hinge integration methods for force-based beam-column elements[J].Journal ofStructural Engineering,2006,132(2):244-252.
[5]Marini A,Spacone E.Analysis of reinforced concrete el-ements including shear effects[J].ACI Structural Jour-nal,2006,103(5):645-655.
[6]Ramin M V,Matamoros A B.Shear strength of rein-forced concrete members subjected to monotonic loads[J].ACI Structural Journal,2006,103(1):83-92.
[7]Choi K K,Park HG,Wight J K.Unified shear strength model for reinforced concrete beams—partⅠ:develop-ment[J].ACIStructural Journal,2007,104(2):142-152.
[8]伍永飞.钢筋混凝土框架结构静力非线性分析程序研制[D].上海:同济大学土木工程学院,2007.
[9]陈笃.塑性力学概要[M].北京:高等教育出版社,2005.
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