考虑P-Δ效应的弹塑性反应谱归一化
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摘要
为了获得考虑P-Δ效应的强度折减系数R谱和弹塑性动力放大系数β谱,对理想弹塑性(EPP)滞回模型的单自由度体系在地震作用下的响应进行分析,得到不同场地类别、结构自振周期、位移延性、阻尼比和二阶效应的反应谱,并利用2个特征周期Tga和TgR对横轴进行标准化处理.结果表明:周期标准化的R谱和β谱很好地保留了特征周期处的峰值特性,延性、结构周期、二阶效应和阻尼比都对β谱起着显著影响,利用β谱来计算弹塑性地震力,要比采用R来对弹性地震力折减的结果更加理想.
To investigate strength reduction factor R and dynamic magnification factor β,dynamic response of single degree of freedom(SDOF) elastic-perfectly plastic(EPP) hysteretic system are analysed.The influence of site types,natural vibration periods,displacement ductilities,damping ratios and P-Δ effect coefficients are taken into account.The characteristic periods Tga and TgR are used to normalize the R spectra and β spectra.Results indicate that ductility,damping ratio and P-Δ effect coefficient all have obvious effect on R and β.β produces more ideal effect than R on elastic-plastic seismic force calculation.
To investigate strength reduction factor R and dynamic magnification factor β,dynamic response of single degree of freedom(SDOF) elastic-perfectly plastic(EPP) hysteretic system are analysed.The influence of site types,natural vibration periods,displacement ductilities,damping ratios and P-Δ effect coefficients are taken into account.The characteristic periods Tga and TgR are used to normalize the R spectra and β spectra.Results indicate that ductility,damping ratio and P-Δ effect coefficient all have obvious effect on R and β.β produces more ideal effect than R on elastic-plastic seismic force calculation.
引文
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[12]HAN S W,KWON O S,LEE L H.Investigationg ofdynamics P-Δeffect on ductility factor[J].Struc-tural Engineering and Mechanics,2001,12(3):249-266.
[2]VIDIC T,FAJFAR P.Consistent inelastic design spec-tra:streagth and displacement[J].Earthquake Engi-neering and Structural Dynamics,1994,23:507-521.
[3]LI H L,SANG W H.Determination of ductility factorconsidering different hysteretic models[J].Earth-quake Engineering and Sturctural Dynamics,1999,28:957-977.
[4]BORZI B,ELNASHAI A S.Refined force reductionfactors for seismic design[J].Engineering Structures,2000,22:1244-1260.
[5]CHOPRA A K,CHINTANAPAKDEE C.Inelastic de-formation ratios for design and evaluation of structures:single-degree-of-freedom bilinear systems[J].Journalof Structural Engineering,2004,130(9):1309-1319.
[6]MIRANDA E.Site-dependent strength-reduction fac-tors[J].Journal of Structural Engineering,1993,119:3503-3519.
[7]TONG G S,ZHAO Y F.Seismic force modificationfactors for modified-clough hysteretic models[J].En-gineering Structures,2007,29(11):3053-3070.
[8]赵永峰,童根树.双折线弹塑性滞回模型的结构影响系数[J].工程力学,2008,25(1):61-70.
[9]ROSENBLUTH E.Slenderness effects in building[J].Journal of Structures Division,1965,91(1):229-252.
[10]CECS160—2004.建筑工程抗震性态设计通则(试用)[S].北京:中国计划出版社,2004.
[11]TONG G S,ZHAO Y F.P-Δeffects on seismicforce modification factors for modified-clough andEPP hysteretic models[J].Advances in StructuralEngineering,2009,12(4):579-593.
[12]HAN S W,KWON O S,LEE L H.Investigationg ofdynamics P-Δeffect on ductility factor[J].Struc-tural Engineering and Mechanics,2001,12(3):249-266.
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