结构抗震性态谱的确定方法
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摘要
为了克服反应谱无法反映性能目标对地震的需求,提出了性态谱的新概念。以地震地面运动数字记录为输入,计算单自由度体系最大地震加速度的统计平均值。在三维坐标中,根据性能目标,建立地震需求和结构周期、弹塑性状态的函数关系。获取具有统计意义的、按照地震波分类的弹性和弹塑性性态谱,研究了性态谱特征和谱曲线规律,拟合了弹性和弹塑性性态谱的设计公式,并对拟合公式进行了验证。性态谱为多目标抗震性能设计提供了新途径。
The response spectrum is unable to reveal the aseismatic demands under the performance objectives. A new performance spectrum is thusly proposed. The statistical average values of maximum acceleration responses of SDOF systems subjected to earthquake ground motions are investigated. According to the performance objectives, the functional relations among aseismatic demands, structural period and elastic-plastic levels are established under three-dimensional coordinate system. The elastic and elastic-plastic performance spectrums which have significance under the different groups of earthquake records are obtained. The characteristics of performance spectrum and the laws of performance spectrum curves are studied. The fitted formula for aseismatic design are derived and tested by theoretical formula. A new analytical way using the performance spectrum is provided for multi-objective performance-based aseismatic design.
The response spectrum is unable to reveal the aseismatic demands under the performance objectives. A new performance spectrum is thusly proposed. The statistical average values of maximum acceleration responses of SDOF systems subjected to earthquake ground motions are investigated. According to the performance objectives, the functional relations among aseismatic demands, structural period and elastic-plastic levels are established under three-dimensional coordinate system. The elastic and elastic-plastic performance spectrums which have significance under the different groups of earthquake records are obtained. The characteristics of performance spectrum and the laws of performance spectrum curves are studied. The fitted formula for aseismatic design are derived and tested by theoretical formula. A new analytical way using the performance spectrum is provided for multi-objective performance-based aseismatic design.
引文
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[22]徐建.建筑振动工程手册[M].北京:中国建筑工业出版社,2002.Xu Jian.Building vibration engineering handbook[M].Beijing:China Architecture&Building Press,2002.(in Chinese)
[2]Eurocode8,Design of structures for earthquake resistance[S].European Committee for Standardization,2003.
[3]CECS160,建筑工程抗震性态设计通则(试行)[S].北京:中国计划出版社,2004.CECS160,General rule for performance-based seismic design of buildings[S].Beijing:China Plan Press,2004.(in Chinese)
[4]Moehle J P.Displacement-based design of RC structures[C].Mexico:Proceedings of the10th World Conference on Earthquake Engineering,1992.1576―1574.
[5]Fajfar P,Gaspersic P.The N2method for the seismic damage analysis of RC buildings[J].Earthquake Engineering and Structural Dynamics,1996,25(1):31―46.
[6]Chopra A K,Goel R K.Capacity-demand diagram methods based on inelastic design spectrum[J].Earthquake Spectra,1999,15(4):637―656.
[7]Chopra A K,Goel R K.Evaluation of NSP to estimate seismic deformation[J].Journal of Structure Engineering,2000,126(4):482―490.
[8]Miranada E,Ruiz-Garcìa J.Evaluation of approximate methods to estimate maximum inelastic displacement demands[J].Earthquake Engineering and Structural Dynamics,2002,31(3):539―560.
[9]Akkar S D,Miranda E.Statistical evaluation of approximate methods for estimating maximum deforma-tion demands on existing structures[J].Journal of Structure Engineering,2005,131(1):160―172.
[10]杨志勇,何若全.高层钢结构弹塑性抗震分析静动力综合法[J].建筑结构学报,2003,24(3):25―32.Yang Zhiyong,He Ruoquan.Inelastic static-dynamic analysis method of high-rise steel structures under earthquake action[J].Journal of Building Structures,2003,24(3):25―32.(in Chinese)
[11]Vamvatsikos D,Cornell C A.Direct estimation of seismic demand and capacity of multi degree-of freedom systems through incremental dynamic analysis of single degree of freedom approximation[J].Journal of Structure Engineering,2005,131(4):589―599.
[12]罗文斌,钱稼茹.钢筋混凝土框架基于位移的抗震设计[J].土木工程学报,2003,36(5):22―29.Luo Wenbin,Qian Jiaru.Displacement based seismic design for RC frames[J].China Civil Engineering Journal,2003,36(5):22―29.(in Chinese)
[13]王东升,李宏男,赵颖华,王国新.Ay-Dy格式地震需求谱及其在结构性能抗震设计中的应用[J].建筑结构学报,2006,27(1):60―65.Wang Dongsheng,Li Hongnan,Zhao Yinghua,Wang Guoxin.Inelastic seismic demand spectrum with Ay-Dy format and its application in performance based seismic design[J].Journal of Structure Engineering,2006,27(1):60―65.(in Chinese)
[14]Mark Aschheim.Seismic design based on the yield displacement[J].Earthquake Spectra,2002,18(4):581―600.
[15]FEMA273/FEMA274.NEHRP Commentary on the guidelines for seismic rehabilitation of buildings[R].Washington D C:Federal Emergency Management Agency,1996.
[16]SEAOC Vision2000.A framework for performance-based engineering[R].Washington D C:Structural Engineering Association of California,1995.
[17]Wen Y K,Kang Y J.Minimum building life-cycle cost design criteria,Ⅰmethodology andⅡapplications[J].Journal of Structural Engineering,1985,111(4):722―739.
[18]郭子雄.基于变形的抗震设计理论及应用研究[D].上海:同济大学,2000.Guo Zixiong.Seismic design theory base on deformations and application[D].Shanghai:Tongji University,2000.(in Chinese)
[19]GB50011,建筑抗震设计规范[S].北京:中国建筑工业出版社,2001.GB50011,Code for seismic design of buildings[S].Beijing:China Architecture&Building Press,2001.(in Chinese)
[20]宋志刚,金伟良.人对振动主观反应的模糊随机评价模型[J].应用基础与工程科学学报,2002,10(3):287―294.Song Zhigang,Jin Weiliang.A fuzzy-stochastic model for human response to vibrations[J].Journal of Basic Science and Engineering,2002,10(3):287―294.(in Chinese)
[21]董霜,朱元清.环境振动对人体的影响[J].噪声与振动控制,2004,24(3):22―25.Dong Shuang,Zhu Yuanqing.Effects of environment vibration on man[J].Sound and Vibration Control,2004,24(3):22―25.(in Chinese)
[22]徐建.建筑振动工程手册[M].北京:中国建筑工业出版社,2002.Xu Jian.Building vibration engineering handbook[M].Beijing:China Architecture&Building Press,2002.(in Chinese)
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