基于能量平衡的钢筋混凝土框架结构抗震塑性设计方法
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摘要
在已有研究成果基础上发展了基于能量平衡的钢筋混凝土框架结构塑性设计方法。通过结构多失效模式分析,以"强柱弱梁"整体破坏机制作为塑性设计的失效模式;推导了结构能量平衡方程并给出了地震输入能和弹性振动能的计算式。为反映混凝土结构的承载力、刚度退化和捏缩效应,给出了修正的结构能量平衡方程,对结构的非弹性应变能进行修正。根据外力做功等于结构的非弹性应变能,求出考虑P-Δ效应的结构的侧向力大小,进而根据结构的耗能机制计算出梁柱构件截面的内力值。最后对1榀3跨7层钢筋混凝土框架进行塑性设计,并与对应的弹性设计结果进行对比。分析结果表明:塑性设计结构能充分形成"强柱弱梁"型屈服机制,结构的延性好,层间变形更加均匀,其抗震能力更强,验证了该方法的有效性和优越性。
This research focused on the development of plastic design methodology under strong earthquakes using energy balance concept for reinforced concrete frame structures.The strong-column weak-beam mechanism was selected as the basic failure mode of plastic design through the multiple failure mode analyses.From the differential equation of motion,the structural energy equilibrium equation was derived,and the elastic vibration energy and earthquake input energy were given.In order to reflect the deterioration of load-carrying capacity,stiffness degradation and pinching effects,the modified energy equilibrium equation was proposed.Based on the fact that the external work equals the internal work,the lateral forces could be obtained,taking into account the P-Δ effects.Then,the sectional internal forces of beams and columns could be calculated through the energy dissipating mechanism.A seven-story RC frame structure was designed based on the plastic design method and the performance of plastic design structure was compared with that of elastically designed structure.The results show that the plastically designed structure can fully develop the strong-column weak-beam yielding mechanism and have a better ductility performance and uniform maximum story drift along the height,indicating the effectiveness of the proposed plastic design method.
This research focused on the development of plastic design methodology under strong earthquakes using energy balance concept for reinforced concrete frame structures.The strong-column weak-beam mechanism was selected as the basic failure mode of plastic design through the multiple failure mode analyses.From the differential equation of motion,the structural energy equilibrium equation was derived,and the elastic vibration energy and earthquake input energy were given.In order to reflect the deterioration of load-carrying capacity,stiffness degradation and pinching effects,the modified energy equilibrium equation was proposed.Based on the fact that the external work equals the internal work,the lateral forces could be obtained,taking into account the P-Δ effects.Then,the sectional internal forces of beams and columns could be calculated through the energy dissipating mechanism.A seven-story RC frame structure was designed based on the plastic design method and the performance of plastic design structure was compared with that of elastically designed structure.The results show that the plastically designed structure can fully develop the strong-column weak-beam yielding mechanism and have a better ductility performance and uniform maximum story drift along the height,indicating the effectiveness of the proposed plastic design method.
引文
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[18]Bai Jiulin,Ou Jinping.Seismic failure modeimprovement of RC frame structure based on multiplelateral load patterns of pushover analyses[J].ScienceChina:Technological Sciences,2011,54(11):2825-2833.
[2]白国良,薛冯,徐亚洲.青海玉树地震村镇建筑震害分析及减灾措施[J].西安建筑科技大学学报:自然科学版,2011,43(3):309-315.(Bai Guoliang,Xue Feng,Xu Yazhou.Seismic damage analysis andreduction measures of buildings in village and town inthe Yushu Earthquake[J].Journal of Xi’an Universityof Architecture&Technology:Natural Science Edition,2011,43(3):309-315.(in Chinese))
[3]Leelataviwat S,Goel S C,Stojadinovic B.Towardperformance-based seismic design of structures[J].Earthquake Spectra,1999,15(3):435-461.
[4]Leelataviwat S,Goel S C,Stojadinovic B.Energy-based seismic design of structures using yieldmechanism and target drift[J].Journal of StructuralEngineering,2002,128(8):1046-1054.
[5]Lee S S,Goel S C,Chao S H.Performance-basedseismic design of steel moment frames using target driftand yield mechanism[C]//Proceeding of 13th WorldConference on Earthquake Engineering.Paper No.266.Vancouver,BC:Canada,CDROM,2004.
[6]Liao Wen-cheng.Performance-based plastic design ofearthquake resistant reinforced concrete moment frames[D].Ann Arbor:The University of Michigan,2010:39-47.
[7]Choi Hyunhoon,Kim Jinkoo.Energy-based seismicdesign of buckling-restrained braced frames usinghysteretic energy spectrum[J].Engineering Structures,2006,28(2):304-311.
[8]Ghosh Siddhartha,Adam Farooq,Das Anirudha.Design of steel plate shear walls considering inelasticdrift de-mand[J].Journal of Constructional SteelResearch,2009,65(7):1431-1437.
[9]Mazzolani F M,Piluso V.Plastic design of seismicresistant steel frames[J].Earthquake Engineering andStructural Dynamics,1997,26(2):167-191.
[10]Hiroshi Akiyama.Earthquake-resistant limit-statedesign of buildings[M].Tokyo:University of TokyoPress,1985:11-44.
[11]Uang C M,Bertero V V.Use of energy as a designcriterion in earthquake-reistant design[R].Report No.UCB/EERC-88/18.Berkeley,CA:EarthquakeEngineering Research Center.University of California,1988:8-14.
[12]Housner G W.Limit design of structures to resistearthquakes[C]//Proceeding 1st World Conference onEarthquake Engineering.Oakland,California:Earthquake Engineering Research Institute,1956:1-13.
[13]Applied Technology Council.Seismic evaluation andretrofit of concrete buildings[R].Report ATC-40.Redwood City,California:California Seismic SafetyCommission,1996,8:13-20.
[14]GB 50011—2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.(GB 50011—2010 Codefor seismic design of buildings[S].Beijing:ChinaArchitecture&Building Press,2010.(in Chinese))
[15]高菲,刘文锋,付兴潘.中国钢筋混凝土柱的位移角统计分析[J].青岛理工大学学报,2009,30(1):24-30.(Gao Fei,Liu Wenfeng,Fu Xingpan.Statistical analysis of displacement angles of reinforcedconcrete columns in China[J].Journal of QingdaoTechnology University,2009,30(1):24-30.(inChinese))
[16]Chao S H,Goel S C,Lee S S.A seismic design lateralforce distribution based on inelastic state of structures[J].Earthquake Spectra,2007,23(3):547-569.
[17]GB 50010—2010混凝土结构设计规范[S].北京:中国建筑工业出版社,2010.(GB 50010—2010Code for design of concrete structures[S].Beijing:China Architecture&Building Press,2010.(inChinese))
[18]Bai Jiulin,Ou Jinping.Seismic failure modeimprovement of RC frame structure based on multiplelateral load patterns of pushover analyses[J].ScienceChina:Technological Sciences,2011,54(11):2825-2833.
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