基于等位移原理的二维能力谱方法
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摘要
由于无法考虑地震动的多维性和结构的空间耦合特性,现有的结构性态评估方法多数无法用于偏心结构性态评估.在建立等效二自由度模型(EDDOF)的基础上,提出了基于等位移原理的二维能力谱方法,用弹性峰值反应近似计算结构的目标位移,采用模态Pushover分析(MPA)方法求出体系能力谱,并应用于EDDOF模型,进而得到结构性态反应.通过一个偏心钢框架结构算例验证了二维能力谱方法的正确性.结果表明:基于等位移原理的二维能力谱方法用于偏心结构的性态反应评估,具有计算精度可靠、求解效率高的特点.
Most of the existing simplified performance evaluation methods cannot be applied to asymmetric structures evaluation,as they have not taken into account the multi-dimensional ground motions or the spatial coupled effect of the structures.With establishment of the equivalent dual degree of freedom(EDDOF) model,an equal-displacement rule based two-dimensional capacity spectrum method has been proposed.The target displacement was approximated by the maximum elastic responses according to the equal-displacement rule.The capacity spectra of the system were calculated with modal Pushover analysis(MPA) procedure and applied to EDDOF model,and the performance of the structures was obtained.An asymmetric steel frame has been used to verify the two-dimensional capacity spectrum method,whose results show that the two-dimensional capacity spectrum method based on equal-displacement rule can evaluate the seismic performance of asymmetric structures with precision,reliability,and efficiency.
Most of the existing simplified performance evaluation methods cannot be applied to asymmetric structures evaluation,as they have not taken into account the multi-dimensional ground motions or the spatial coupled effect of the structures.With establishment of the equivalent dual degree of freedom(EDDOF) model,an equal-displacement rule based two-dimensional capacity spectrum method has been proposed.The target displacement was approximated by the maximum elastic responses according to the equal-displacement rule.The capacity spectra of the system were calculated with modal Pushover analysis(MPA) procedure and applied to EDDOF model,and the performance of the structures was obtained.An asymmetric steel frame has been used to verify the two-dimensional capacity spectrum method,whose results show that the two-dimensional capacity spectrum method based on equal-displacement rule can evaluate the seismic performance of asymmetric structures with precision,reliability,and efficiency.
引文
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[4]Chopra A K,Goel R K.Capacity-demand-diagram meth-ods based on inelastic design spectrum[J].Earthquake Spectra,1999,15(4):637-656.
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[6]翟长海,李爽,谢礼立,等.近场脉冲型地震动位移比谱特征研究[J].土木工程学报,2008,41(10):1-5.Zhai Changhai,Li Shuang,Xie Lili,et al.Characteristics of displacement ratio spectra for near-field ground mo-tions[J].China Civil Engineering Journal,2008,41(10):1-5(in Chinese).
[7]翟长海,孙亚民,谢礼立.考虑P-Δ效应的等延性位移比谱[J].哈尔滨工业大学学报,2007,39(10):1513-1516.Zhai Changhai,Sun Yamin,Xie Lili.Estimation of P-Δeffect on constant-ductility inelastic displacement ratio spectra[J].Journal of Harbin Institute of Technology,2007,39(10):1513-1516(in Chinese).
[8]李宁,翟长海,谢礼立.基于MPA的单向偏心结构性态评估方法[J].哈尔滨工业大学学报,2009,41(8):30-34.Li Ning,Zhai Changhai,Xie Lili.Performance evalua-tion procedure based on MPA method for uni-directional eccentric structures[J].Journal of Harbin Institute of Technology,2009,41(8):30-34(in Chinese).
[9]Suita K,Yamada S,Tada N,et al.E-Defence Tests on Full-Scale Steel Buildings(Part 2):Collapse Experi-ments on Moment Frames[M].Long Beach,CA:ASCE Structures Congress,2007.
[10]Hyogo Earthquake Engineering Research Center[EB/OL].http://www.bosai.go.jp/hyogo/ehyogo/index.html,2007-04-15.
[11]OpenSees.Open System for Earthquake Engineering Simulation[EB/OL].http://opensees.berkeley.edu,2009-06-30.
[2]Chopra A K,Geol R K.A modal pushover analysis pro-cedure to estimate seismic demands for unsymmetric-plan buildings[J].Earthquake Engineering and Struc-tural Dynamics,2004,33(8):903-927.
[3]Lin J L,Tsai K C.Simplified seismic analysis of asym-metric building systems[J].Earthquake Engineering and Structural Dynamics,2007,36(4):459-479.
[4]Chopra A K,Goel R K.Capacity-demand-diagram meth-ods based on inelastic design spectrum[J].Earthquake Spectra,1999,15(4):637-656.
[5]Chopra A K,Chintanapakdee C.Inelastic deformation ratios for design and evaluation of structures:Single-degree-of-freedom bilinear systems[J].Journal of Struc-tural Engineering,2004,130(9):1309-1319.
[6]翟长海,李爽,谢礼立,等.近场脉冲型地震动位移比谱特征研究[J].土木工程学报,2008,41(10):1-5.Zhai Changhai,Li Shuang,Xie Lili,et al.Characteristics of displacement ratio spectra for near-field ground mo-tions[J].China Civil Engineering Journal,2008,41(10):1-5(in Chinese).
[7]翟长海,孙亚民,谢礼立.考虑P-Δ效应的等延性位移比谱[J].哈尔滨工业大学学报,2007,39(10):1513-1516.Zhai Changhai,Sun Yamin,Xie Lili.Estimation of P-Δeffect on constant-ductility inelastic displacement ratio spectra[J].Journal of Harbin Institute of Technology,2007,39(10):1513-1516(in Chinese).
[8]李宁,翟长海,谢礼立.基于MPA的单向偏心结构性态评估方法[J].哈尔滨工业大学学报,2009,41(8):30-34.Li Ning,Zhai Changhai,Xie Lili.Performance evalua-tion procedure based on MPA method for uni-directional eccentric structures[J].Journal of Harbin Institute of Technology,2009,41(8):30-34(in Chinese).
[9]Suita K,Yamada S,Tada N,et al.E-Defence Tests on Full-Scale Steel Buildings(Part 2):Collapse Experi-ments on Moment Frames[M].Long Beach,CA:ASCE Structures Congress,2007.
[10]Hyogo Earthquake Engineering Research Center[EB/OL].http://www.bosai.go.jp/hyogo/ehyogo/index.html,2007-04-15.
[11]OpenSees.Open System for Earthquake Engineering Simulation[EB/OL].http://opensees.berkeley.edu,2009-06-30.
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