型钢混凝土异形柱框架结构平扭振动反应及地震内力分析
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摘要
通过对5层实腹式型钢混凝土异形柱空间框架结构模型进行三向地震模拟振动台试验,获得了结构平动、扭转、平扭耦合动力特性,并对结构的多维地震反应、耗能能力、损伤程度、地震内力及平扭振动规律进行了综合分析。结果表明:模型结构前4阶自振频率对应的振型形态依次为X向平动、Y向平扭、扭转和Y向平动;随着地震强度的增加,型钢混凝土异形柱框架结构的自振频率不断下降,加速度放大系数逐渐减小,结构塑性变形不断发展,结构内部损伤逐渐累积,地震能量耗散不断增加,整体累积滞回耗能时程曲线呈台阶势跃迁;在历经0.80g地震作用后,模型结构平扭耦合引起的层间位移角最大值为1/39,超过弹塑性层间位移角限值要求,模型结构的变形和能量双参数模型损伤指数达到0.56;对比模型结构扭转效应发现,偶然偏心平扭耦合作用对模型结构的抗震性能影响较小,其偶然相对偏心距小于0.1;分析计算模型抗扭刚度、地震内力可知,在加载后期,随着水平侧移的增大,楼层的等效抗扭刚度退化并不明显,表明结构具有良好的抗震性能和抗扭变形能力。
The lateral, torsional, and lateral-torsional coupled dynamic characteristics of a 5-floor solid web spatial frame structure model with steel reinforced concrete special-shaped columns were investigated via 3-dimensional seismic simulation shaking table tests. In addition, the multi-dimensional seismic responses, energy dissipation, structural damage, seismic forces and lateral-torsional coupled vibration behaviors of the structure were comprehensively analysed. The results show that: the corresponding vibration modes of the first 4 orders in turn are: X direction translation, Y direction lateral-torsional coupled, torsion, and Y direction translation. As the seismic intensity increases, the free vibration frequency of the frame structure and the acceleration amplification coefficient decline gradually, the plastic deformation of the structure develops continuously, the internal damage of the structure gradually accumulates, the energy dissipation of the earthquake increases continuously, and the cumulative hysteretic energy of the structure is rapidly increased with stepped characteristic. After the effect of 0.80g PHGA earthquake, the maximum value of inter-story drift ratio caused by the coupling effect of lateral-torsional vibration is 1/39, which exceeds the limit requirement of elastic-plastic inter-story drift ratio, and the damage index of the frame structure based on the deformation and energy parameter model is 0.56. Comparing with the general torsional effect of the model structure, the impact of an accidental eccentric torsion on the seismic performance of the model structure is small, and its accidental relative eccentric distance is less than 0.1. According to the analysis of the model torsional stiffness and seismic force, at the later stage of loading, the inter-story equivalent torsional stiffness degeneration is not distinct, which shows that the structure has high seismic performance and torsional deformation capacity.
The lateral, torsional, and lateral-torsional coupled dynamic characteristics of a 5-floor solid web spatial frame structure model with steel reinforced concrete special-shaped columns were investigated via 3-dimensional seismic simulation shaking table tests. In addition, the multi-dimensional seismic responses, energy dissipation, structural damage, seismic forces and lateral-torsional coupled vibration behaviors of the structure were comprehensively analysed. The results show that: the corresponding vibration modes of the first 4 orders in turn are: X direction translation, Y direction lateral-torsional coupled, torsion, and Y direction translation. As the seismic intensity increases, the free vibration frequency of the frame structure and the acceleration amplification coefficient decline gradually, the plastic deformation of the structure develops continuously, the internal damage of the structure gradually accumulates, the energy dissipation of the earthquake increases continuously, and the cumulative hysteretic energy of the structure is rapidly increased with stepped characteristic. After the effect of 0.80g PHGA earthquake, the maximum value of inter-story drift ratio caused by the coupling effect of lateral-torsional vibration is 1/39, which exceeds the limit requirement of elastic-plastic inter-story drift ratio, and the damage index of the frame structure based on the deformation and energy parameter model is 0.56. Comparing with the general torsional effect of the model structure, the impact of an accidental eccentric torsion on the seismic performance of the model structure is small, and its accidental relative eccentric distance is less than 0.1. According to the analysis of the model torsional stiffness and seismic force, at the later stage of loading, the inter-story equivalent torsional stiffness degeneration is not distinct, which shows that the structure has high seismic performance and torsional deformation capacity.
引文
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[14]薛建阳,胡宗波,刘祖强.型钢混凝土异形柱空间框架结构模型振动台试验研究[J].建筑结构学报,2017,38(2):74-82.XUE Jianyang,HU Zongbo,LIU Zuqiang.Shaking table test on steel reinforced concrete spatial frame structure model with special-shaped columns[J].Journal of Building Structures,2017,38(2):74-82.
[15]NEWMARK N M,ROSENBLUETH E.地震工程学原理[M].叶耀先等,译.北京:中国建筑工业出版社,1986.
[16]CLOUGH R W,PENZIEN J.Dynamics of structures[M].New York:McGraw-Hill,1993.
[17]LABAT D.Recent advances in wavelet analyses.Part 1:a review of concepts[J].Journal of Hydrology,2005,314(1):275-288.
[18]北村春幸.基于性能设计的建筑振动解析[M].裴星洙,译.西安:西安交通大学出版社,2004.
[2]RAMMAMURTHY L N,HAFEEZ KHAN T A.L-shaped column design for biaxial eccentricity[J].Journal of Structural Engineering,1983,109(8):1903-1917.
[3]TZU C,HSU T.Biaxial loaded L-shaped reinforced concrete columns[J].Journalof Structural Engineering,1985,111(12):2576-2595.
[4]TZU C,HSU T.T-shaped reinforced concrete members under biaxial bending and axial compression[J].ACI Structure Journal,1989,86(4):460-468.
[5]康谷贻,巩长江.单调及低周反复荷载作用下异形截面框架柱的受剪性能[J].建筑结构学报,1997,18(5):22-31.KANG Guyi,GONG Changjiang.Shear properties of T and L-Shaped section frame columns under monotonic and horizontal low cyclic loadings[J].Journal of Building Structures,1997,18(5):22-31.
[6]黄雅捷,梁兴文.钢筋混凝土异形柱框架结构侧向刚度分析[J].世界地震工程,2003,19(3):134-138.HUANG Yajie,LIANG Xingwen.Ana Iysis of lateral stiffness for R C frames with special-shaped columns[J].World Earthquake Engineering,2003,19(3):134-138.
[7]王铁成,张学辉,康谷贻.两种混凝土异形柱框架抗震性能试验对比[J].天津大学学报,2007,40(7):791-798.WANG Tiecheng,ZHANG Xuehui,KANG Guyi.Experimental comparison of seismic behavior of two RCframes with specially shaped columns[J].Journal of Tianjin University,2007,40(7):791-798.
[8]TOKGOZ S,DUNDAR C.Test of eccentrically loaded L-shaped section steel fibre high strength reinforced concrete and composite columns[J].Engineering Structure,2012,38(5):134-141.
[9]徐亚丰,白首晏,刁晓征.异形截面钢骨混凝土柱技术[M].北京:科学出版社,2010.
[10]陈宗平,薛建阳,赵鸿铁,等.型钢混凝土异形柱抗震性能试验研究[J].建筑结构学报,2007,28(3):53-61.CHEN Zongping,XUE Jianyang,ZHAO Hongtie,et al.Experimental study on seismic behavior of steel reinforced concrete special-shaped columns[J].Journal of Building Structures,2007,28(3):53-61.
[11]薛建阳,刘义,赵鸿铁,等.型钢混凝土异形柱框架节点抗震性能试验研究[J].建筑结构学报,2009,30(4):66-77.XUE Jianyang,LIU Yi,ZHAO Hongtie,et al.Experimental study on sesmic behavior of steel reinforced concrete specialshaped column-beam joints[J].Journal of Building Structures,2009,30(4):66-77.
[12]薛建阳,刘祖强,葛鸿鹏,等.实腹式型钢混凝土异形柱中框架抗震性能试验研究[J].建筑结构学报,2011,32(11):82-88.XUE Jianyang,LIU Zuqiang,GE Hongpeng,et al.Seismic behavior of solid steel reinforced concrete middle frame with special-shaped columns[J].Journal of Building Structures,2011,32(11):82-88.
[13]薛建阳,刘祖强,赵鸿铁,等.实腹式型钢混凝土异形柱边框架抗震性能试验研究[J].土木工程学报,2012,45(9):55-62.XUE Jianyang,LIU Zuqiang,ZHAO Hongtie,et al.Experimental study on seismic behaviors of solid steel reinforced concrete edge frame with special-shaped columns[J].China Civil Engineering Journal,2012,45(9):55-62.
[14]薛建阳,胡宗波,刘祖强.型钢混凝土异形柱空间框架结构模型振动台试验研究[J].建筑结构学报,2017,38(2):74-82.XUE Jianyang,HU Zongbo,LIU Zuqiang.Shaking table test on steel reinforced concrete spatial frame structure model with special-shaped columns[J].Journal of Building Structures,2017,38(2):74-82.
[15]NEWMARK N M,ROSENBLUETH E.地震工程学原理[M].叶耀先等,译.北京:中国建筑工业出版社,1986.
[16]CLOUGH R W,PENZIEN J.Dynamics of structures[M].New York:McGraw-Hill,1993.
[17]LABAT D.Recent advances in wavelet analyses.Part 1:a review of concepts[J].Journal of Hydrology,2005,314(1):275-288.
[18]北村春幸.基于性能设计的建筑振动解析[M].裴星洙,译.西安:西安交通大学出版社,2004.