弹塑性反应谱的分析
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摘要
为了分析结构在地震作用下的弹塑性反应,该文探讨了弹塑性反应谱。该文推导了弹塑性反应谱的基本方程,计算了等延性强度需求谱;描述了通过强度折减系数、延性系数及结构周期之间的关系建立弹塑性反应谱的方法;参照弹性反应谱理论分别得到了四种弹塑性反应谱。计算结果表明:当延性系数较小且土质较硬时,该文计算的弹塑性反应谱与范立础的弹塑性反应谱近似相等;当延性系数较大且土质柔软时,该文计算的弹塑性反应谱相对安全。
In order to analyse the elasto-plastic response of structure under the seismic action,this paper studies an elasto-plastic response spectrum.The basic equation of an elasto-plastic response spectrum is established and the constant-ductility strength demand spectra are calculated.The methods of elasto-plastic spectra established by relationship among the strength reducing coefficients and the ductility coefficients as well as the structural periods are described.Four kinds of elasto-plastic response spectra are deduced from referring to the elastic response spectrum.The calculation result shows that the elasto-plastic response spectra proposed here are similar to Fan Lichu ' s elasto-plastic response spectra under the condition of hard soil and small ductility coefficient,and the elasto-plastic response spectra proposed here are relatively safe under the condition of soft soil and large ductility coefficient.
In order to analyse the elasto-plastic response of structure under the seismic action,this paper studies an elasto-plastic response spectrum.The basic equation of an elasto-plastic response spectrum is established and the constant-ductility strength demand spectra are calculated.The methods of elasto-plastic spectra established by relationship among the strength reducing coefficients and the ductility coefficients as well as the structural periods are described.Four kinds of elasto-plastic response spectra are deduced from referring to the elastic response spectrum.The calculation result shows that the elasto-plastic response spectra proposed here are similar to Fan Lichu ' s elasto-plastic response spectra under the condition of hard soil and small ductility coefficient,and the elasto-plastic response spectra proposed here are relatively safe under the condition of soft soil and large ductility coefficient.
引文
[1]GB50011—2001.中华人民共和国抗震设计规范[S].北京:中国建筑工业出版社2,001.
[2]Applied Technology Council.ATC-40.Vol.1.Seismicevaluation and retrofit of concrete buildings[S].1996.
[3]Miranda E.Evaluation of site-dependent inelastic seismicdesign spectra[J].Journal of Struct Engng ASCE,1993,117(8):1319-1338.
[4]Vidic T,Fajfar P,Fischinger M.Consistent inelastic de-sign spectra:Strength and displacement[J].EarthquakeEngineering and Structural Dynamics,1994,24(5):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2,0012,1(1):84-88.
[6]Berrill J B,Priestley M J,Chapmaan H E.Designearthquake loading and ductility demand[A].Bulletinof the New Zealand National Society for EarthquakeEngineering[C].Wellington,New Zealand:NewZealand Society for Earthquake Engineering Inc,1980,13(3):232-241.
[7]丁建国.弹塑性反应谱及其在抗震设计中应用[J].南京理工大学学报2,0073,1(6):780-783.
[8]Elghadamsi F E,Mohraz B.Inelastic earthquake spectra[J].Earthquake Engineering and Structural Dynamics,1987,15:91-104.
[9]Miranda EJ,orge R G.Influence of stiffness degradationon strength demands of structures built on soft soil sites[J].Engineering Structures,2002,24:1271-1281.
[2]Applied Technology Council.ATC-40.Vol.1.Seismicevaluation and retrofit of concrete buildings[S].1996.
[3]Miranda E.Evaluation of site-dependent inelastic seismicdesign spectra[J].Journal of Struct Engng ASCE,1993,117(8):1319-1338.
[4]Vidic T,Fajfar P,Fischinger M.Consistent inelastic de-sign spectra:Strength and displacement[J].EarthquakeEngineering and Structural Dynamics,1994,24(5):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2,0012,1(1):84-88.
[6]Berrill J B,Priestley M J,Chapmaan H E.Designearthquake loading and ductility demand[A].Bulletinof the New Zealand National Society for EarthquakeEngineering[C].Wellington,New Zealand:NewZealand Society for Earthquake Engineering Inc,1980,13(3):232-241.
[7]丁建国.弹塑性反应谱及其在抗震设计中应用[J].南京理工大学学报2,0073,1(6):780-783.
[8]Elghadamsi F E,Mohraz B.Inelastic earthquake spectra[J].Earthquake Engineering and Structural Dynamics,1987,15:91-104.
[9]Miranda EJ,orge R G.Influence of stiffness degradationon strength demands of structures built on soft soil sites[J].Engineering Structures,2002,24:1271-1281.
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