塑性铰出现后钢筋混凝土框架柱的剪力重分配效应分析
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摘要
本文应用结构力学方法,推导得到了单层单跨框架在柱端先后出现塑性铰的过程中,左右柱剪力变化的理论计算公式。应用ABAQUS非线性有限元分析软件及本文的理论公式,对一榀钢筋混凝土框架在塑性铰出现过程中,框架柱剪力分配效应变化进行计算与分析,并与现行规范框架柱剪力设计值进行比较。应用ABAQUS软件分析了轴压比对框架柱剪力重分配的影响,同时探讨了塑性铰出现过程中单层多跨框架的剪力分配系数。结果表明:在钢筋混凝土框架中,未发生塑性铰的框架柱会受到已发生塑性铰框架柱的影响,使得框架柱剪力分配系数增大,导致未发生塑性铰的框架柱承受更大的剪力;当框架内的跨数越多时,强柱越少,在弱柱出现塑性铰后,其剪力分配系数越大。
In this paper,the computing formula of shear in frame column are derived in the process of appearing plastic hinge at the end of the column in single-story and single-bay frame by using structure mechanics. The nonlinear finite element analysis software ABAQUS and the proposed formula are used to compute shear distribution coefficients of frame column in the process of appearing plastic hinge at the reinforced concrete frame,and compared with the current standard frame column shear design values. Furthermore,the influence of axial compression ratio on frame column shear distribution is studied,and the shear distribution coefficient of frame column in the process of appearing plastic hinge of one single-story and multi-bay frame is discussed. The obtained results showed that,shear distribution coefficient in the frame column without plastic hinge will be increased and shear in the frame column without plastic hinge will bigger than be that in the frame column with the plastic hinge. For multi-bay frame with several columns,the less strong columns shall appear bigger shear distribution coefficients as the too much weak columns appear plastic hinge.
In this paper,the computing formula of shear in frame column are derived in the process of appearing plastic hinge at the end of the column in single-story and single-bay frame by using structure mechanics. The nonlinear finite element analysis software ABAQUS and the proposed formula are used to compute shear distribution coefficients of frame column in the process of appearing plastic hinge at the reinforced concrete frame,and compared with the current standard frame column shear design values. Furthermore,the influence of axial compression ratio on frame column shear distribution is studied,and the shear distribution coefficient of frame column in the process of appearing plastic hinge of one single-story and multi-bay frame is discussed. The obtained results showed that,shear distribution coefficient in the frame column without plastic hinge will be increased and shear in the frame column without plastic hinge will bigger than be that in the frame column with the plastic hinge. For multi-bay frame with several columns,the less strong columns shall appear bigger shear distribution coefficients as the too much weak columns appear plastic hinge.
引文
[1]GB 50011-2010,建筑抗震设计规范[S]GB 50011-2010,Code for Seismic Design of Buildings[S](in Chinese)
[2]薛彦涛,黄世敏,姚秋来,葛学礼.汶川地震钢筋混凝土框架结构震害及对策[J].工程抗震与加固改造,2009,31(5):93~100Xue Yao-tao,Huang Shi-min,Yao Qiu-lai,Ge Xue-li.Seismic Damage and Design Concept from the Buildings of RC Frame Structure in Wenchuan Earthquake[J].Earthquake Resistant Engineering and Retrofitting,2009,31(5):93~100(in Chinese)
[3]马千里,叶列平,等.现浇楼板对框架结构柱梁强度比的影响研究[J].工程力学,2008,22(2):263~271Ma Qian-li,Ye Lie-ping,et al.Influence of Cast-in-site Floor Slabs to the‘column-beam’Strength Ratio of Frame Structure[J].Engineering Mechanics,2008,22(2):263~271(in Chinese)
[4]吴勇,雷汲川,杨红,等.板筋参与梁端负弯矩承载力问题的探讨[J].重庆建筑大学学报,2002,24(3):33~37Wu Yong,Lei Ji-chuan,Yang Hong,et al.Discussion on Negative Flexural Strength of Beams Including Slabs[J].Journal of Chongqing Jianzhu University,2002,24(3):33~37(in Chinese)
[5]彭楚澌.现浇楼板对混凝土框架结构地震破坏机制的影响[D].长沙:湖南大学,2012Peng Chu-si.The Effect of Cast-in-place Slab on Seismic Yield Mechanism of RC Frame Structure[D].Changsha:Hunan University,2012(in Chinese)
[6]王志军,白绍良,蒲心诚,等.高强混凝土有侧移柱剪力分配和二阶效应试验研究[J].重庆建筑大学学报,2000,22(5):102~108Wang Zhi-jun,Bai Shao-liang,Pu Xin-cheng,et al.Experimental Study on Shear Distribution and Secondorder Effect of HSC Sway Column[J].Journal of Chongqing Jianzhu University,2000,22(5):102~108(in Chinese)
[7]抗剪强度专题研究组.钢筋混凝土框架柱的抗剪强度[J].建筑结构学报,1987,8(3):23~35Research Group on Shear Strength.Shear Strength of Reinforced Concrete Columns[J].Journal of Building Structures,1987,8(3):23~35(in Chinese)
[8]孙跃东,周德源,肖建庄,等.不同轴力下再生混凝土框架抗震性能的试验[J].同济大学学报(自然科学版),2007,35(8):1013~1018Sun Yue-dong,Zhou De-yuan,Xiao Jian-zhuang,et al.Experimental Research on Seismic Behavior of Recycled Concrete Frame under Vary Cyclic Loading[J].Journal of Tongji University:Natural Science,2007,35(8):1013~1018(in Chinese)
[2]薛彦涛,黄世敏,姚秋来,葛学礼.汶川地震钢筋混凝土框架结构震害及对策[J].工程抗震与加固改造,2009,31(5):93~100Xue Yao-tao,Huang Shi-min,Yao Qiu-lai,Ge Xue-li.Seismic Damage and Design Concept from the Buildings of RC Frame Structure in Wenchuan Earthquake[J].Earthquake Resistant Engineering and Retrofitting,2009,31(5):93~100(in Chinese)
[3]马千里,叶列平,等.现浇楼板对框架结构柱梁强度比的影响研究[J].工程力学,2008,22(2):263~271Ma Qian-li,Ye Lie-ping,et al.Influence of Cast-in-site Floor Slabs to the‘column-beam’Strength Ratio of Frame Structure[J].Engineering Mechanics,2008,22(2):263~271(in Chinese)
[4]吴勇,雷汲川,杨红,等.板筋参与梁端负弯矩承载力问题的探讨[J].重庆建筑大学学报,2002,24(3):33~37Wu Yong,Lei Ji-chuan,Yang Hong,et al.Discussion on Negative Flexural Strength of Beams Including Slabs[J].Journal of Chongqing Jianzhu University,2002,24(3):33~37(in Chinese)
[5]彭楚澌.现浇楼板对混凝土框架结构地震破坏机制的影响[D].长沙:湖南大学,2012Peng Chu-si.The Effect of Cast-in-place Slab on Seismic Yield Mechanism of RC Frame Structure[D].Changsha:Hunan University,2012(in Chinese)
[6]王志军,白绍良,蒲心诚,等.高强混凝土有侧移柱剪力分配和二阶效应试验研究[J].重庆建筑大学学报,2000,22(5):102~108Wang Zhi-jun,Bai Shao-liang,Pu Xin-cheng,et al.Experimental Study on Shear Distribution and Secondorder Effect of HSC Sway Column[J].Journal of Chongqing Jianzhu University,2000,22(5):102~108(in Chinese)
[7]抗剪强度专题研究组.钢筋混凝土框架柱的抗剪强度[J].建筑结构学报,1987,8(3):23~35Research Group on Shear Strength.Shear Strength of Reinforced Concrete Columns[J].Journal of Building Structures,1987,8(3):23~35(in Chinese)
[8]孙跃东,周德源,肖建庄,等.不同轴力下再生混凝土框架抗震性能的试验[J].同济大学学报(自然科学版),2007,35(8):1013~1018Sun Yue-dong,Zhou De-yuan,Xiao Jian-zhuang,et al.Experimental Research on Seismic Behavior of Recycled Concrete Frame under Vary Cyclic Loading[J].Journal of Tongji University:Natural Science,2007,35(8):1013~1018(in Chinese)
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