SMA自复位体系非线性反应谱
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摘要
总结了国内外非线性反应谱的发展历程及现状,介绍了形状记忆合金(SMA)材料及其自复位体系的应用技术,简要回顾了非线性反应谱分析的基本理论。通过遗传算法选取典型的地震动记录,针对SMA自复位体系特殊的旗形滞回曲线,设计合理的分析工况,通过大量数值模拟分析得到非线性反应的精确结果。在此基础上采用最小二乘法回归得到旗形非线性设计反应谱模型参数,最后将模型计算曲线与精确解进行比较,二者吻合程度较好,表明回归的模型较为可靠,可为具有相似滞回特性自复位结构的非线性设计提供帮助。
In this paper,the research status of nonlinear seismic response spectrum is summarized first. The SMA material and selfcentering system based on this material are introduced,and the basic theory of nonlinear spectrum is reviewed. The typical earthquake records are selected using genetic algorithm,and the analysis conditions are designed according to characters of hysteretic loop of SMA self-centering system. Then the accurate nonlinear seismic responses of SMA self-centering system are calculated using numerical simulation method. Based on the simulation results,the model parameters of nonlinear response spectrum for flag hysteretic loop are regressed by least square method. At last,the calculated curves from regressed model are compared with the accurate nonlinear seismic responses,and the results prove that the regressed model has enough accuracy for the nonlinear design of self-centering system with flag shape hysteretic loop.
In this paper,the research status of nonlinear seismic response spectrum is summarized first. The SMA material and selfcentering system based on this material are introduced,and the basic theory of nonlinear spectrum is reviewed. The typical earthquake records are selected using genetic algorithm,and the analysis conditions are designed according to characters of hysteretic loop of SMA self-centering system. Then the accurate nonlinear seismic responses of SMA self-centering system are calculated using numerical simulation method. Based on the simulation results,the model parameters of nonlinear response spectrum for flag hysteretic loop are regressed by least square method. At last,the calculated curves from regressed model are compared with the accurate nonlinear seismic responses,and the results prove that the regressed model has enough accuracy for the nonlinear design of self-centering system with flag shape hysteretic loop.
引文
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[8]吕西林,周定松.考虑场地类别与设计分组的延性需求谱和弹塑性位移反应谱[J].地震工程与工程振动,2004,24(1):67-77Lu X L,Zhou D S.Ductility Demand Spectra and Inelastic Displacement Spectra Considering Soil Conditions and Design Characteristic Periods[J].Earthquake Engineering and Engineering Vibration,2004,24(1):67~77(in Chinese)
[9]丁建国,陈伟.弹塑性反应谱的分析[J].南京理工大学学报,2011,35(4):573~578Ding J G,Chen W.Analysis of Elasto-plastic Response Spectra[J].Journal of Nanjing University of Science and Technology,2011,35(4):573~578(in Chinese)
[10]Graesser E J,Cozzarelli F A.Shape Memory Alloys as New Materials for Aseismic Isolation[J].Journal of Engineering Mechanics(ASCE),1991,117(11):2590~2608
[11]Casciati F,Faravelli L,Al Saleh R.An SMA Passive Device Proposed Within the Highway Bridge Benchmark[J].Structural Control and Health Monitoring,2009,16(6):657~667
[12]Choi E,Nam T H,Cho B S.A New Concept of Isolation Bearings for Highway Steel Bridges Using Shape Memory Alloys[J].Canadian Journal of Civil Engineering,2005,32(5):957~967
[13]Seo C Y,Sause R.Ductility Demands on Self-centering Systems under Earthquake Loading[J].Structural Journal(ACI),2005,102(2):275~285
[14]Seo C Y.Influence of Ground Motion Characteristics and Structural Parameters on Seismic Response of SDOF Systems[D].Lehigh University,Bethlehem,Pennsylvania,2005
[2]Newmark N M,Hall W J.Earthquake Spectra and Design[M].1982,Berkeley,Calif:Earthquake Engineering Research Institute
[3]Nassar A A,Krawinkler H.Seismic Demands for SDOF and MDOF Systems[R].Report.No 95,John Blume Earthquake Engineering Center,Department of Civil Engineering,Stanford University,California,1991
[4]Vidic T,Fajfar P,Fischinger M.Consistent Inelastic Design Spectra:Strength and Displacement[J].Earthquake Engineering and Structural Dynamics,1994,23:507~521
[5]卓卫东,范立础.结构抗震设计中的强度折减系数研究[J].地震工程与工程振动,2001,21(1):84~88Zhuo W D,Fan L C.Study on Strength Reduction Factors Used for Seismic Design of Structures[J].Earthquake Engineering and Engineering Vibration,2001,21(1):84~88(in Chinese)
[6]翟长海,谢礼立.结构抗震设计中的强度折减系数研究进展[J].哈尔滨工业大学学报,2007,39(8):1177~1184Zhai C H,Xie L L.Progress on Strength Reduction Factors in Structure Seismic Design[J].Journal of Harbin Institute of Technology,2007,39(8):1177~1184(in Chinese)
[7]杨伟,欧进萍.结构地震弹塑性反应谱-损伤谱[J].地震工程与工程振动,2008,28(6):44~53Yang W,Ou J P.Earthquake Inelastic Response Spectra-damage Spectrum[J].Earthquake Engineering and Engineering Vibration,2008,28(6):44~53(in Chinese)
[8]吕西林,周定松.考虑场地类别与设计分组的延性需求谱和弹塑性位移反应谱[J].地震工程与工程振动,2004,24(1):67-77Lu X L,Zhou D S.Ductility Demand Spectra and Inelastic Displacement Spectra Considering Soil Conditions and Design Characteristic Periods[J].Earthquake Engineering and Engineering Vibration,2004,24(1):67~77(in Chinese)
[9]丁建国,陈伟.弹塑性反应谱的分析[J].南京理工大学学报,2011,35(4):573~578Ding J G,Chen W.Analysis of Elasto-plastic Response Spectra[J].Journal of Nanjing University of Science and Technology,2011,35(4):573~578(in Chinese)
[10]Graesser E J,Cozzarelli F A.Shape Memory Alloys as New Materials for Aseismic Isolation[J].Journal of Engineering Mechanics(ASCE),1991,117(11):2590~2608
[11]Casciati F,Faravelli L,Al Saleh R.An SMA Passive Device Proposed Within the Highway Bridge Benchmark[J].Structural Control and Health Monitoring,2009,16(6):657~667
[12]Choi E,Nam T H,Cho B S.A New Concept of Isolation Bearings for Highway Steel Bridges Using Shape Memory Alloys[J].Canadian Journal of Civil Engineering,2005,32(5):957~967
[13]Seo C Y,Sause R.Ductility Demands on Self-centering Systems under Earthquake Loading[J].Structural Journal(ACI),2005,102(2):275~285
[14]Seo C Y.Influence of Ground Motion Characteristics and Structural Parameters on Seismic Response of SDOF Systems[D].Lehigh University,Bethlehem,Pennsylvania,2005
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