地震动反应谱与RC框架结构地震响应相关性分析
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摘要
弹塑性时程分析一般用来评估和验算结构抗震性能,如何选取合适的输入地震动是其中关键工作之一。为给结构弹塑性时程分析选取地震动提供合理的参考参数,本文讨论了地震动反应谱参数与结构地震响应之间的相关性。首先建立了6层和7层两个钢筋混凝土(RC)框架结构数值模型,分别对两个结构进行了大量地震动作用下的时程反应分析,并考察了地震反应特点;然后将结构地震响应与地震动反应谱参数建立关系并进行了相关性分析。结果表明:对RC框架而言,结构地震响应与弹性谱参数相关性较小,与等强度反应谱相关性随标准屈服强度降低而增大,与等延性反应谱相关性随延性增大而增大,而与地震动输入能量谱在标准屈服强度较小时相关性最大。建议RC框架结构在进行地震反应时程分析时,可以参考地震动的弹塑性输入能量谱、等强度速度谱和等延性加速度或位移谱,以选取引起结构不同地震反应水平的输入地震动。本文结果和结论可供结构弹塑性时程分析选取合适的输入地震动参考。
Nonlinear time history analysis is usually used to evaluate and verify the seismic performance of structures. Therefore, how to select the appropriate input ground motions is one of the key problems. In this paper, the correlations between the structural seismic responses and spectral parameters are discussed in order to provide reasonable spectral parameters for selecting the strong ground motions in the time history analysis. Firstly, the models of 6-story and 7-story RC(Reinforced Concrete) frame structures are established, and the time history analysis of both structures are performed under the excitation of the large number of ground motions. Then the correlations between the structural response and several spectral parameters are analyzed. The results show that there is a low correlation between the structural seismic response and the elastic spectra, and the correlation between the seismic response and constant-strength spectra decreases with the increasing of the normalized yield strength. However, the correlation between the seismic response and the constant-ductility spectra increases with the increasing of the ductility level. The correlation between the seismic response and the input energy spectra is highest in case of low normalized yield strength spectra. It is recommended that the input energy spectra, constant-strength velocity spectra and constant-ductility acceleration or displacement spectra could be considered to select the input strong ground motions. The results and conclusions can be referenced to select the appropriate ground motion for the nonlinear time history analysis.
Nonlinear time history analysis is usually used to evaluate and verify the seismic performance of structures. Therefore, how to select the appropriate input ground motions is one of the key problems. In this paper, the correlations between the structural seismic responses and spectral parameters are discussed in order to provide reasonable spectral parameters for selecting the strong ground motions in the time history analysis. Firstly, the models of 6-story and 7-story RC(Reinforced Concrete) frame structures are established, and the time history analysis of both structures are performed under the excitation of the large number of ground motions. Then the correlations between the structural response and several spectral parameters are analyzed. The results show that there is a low correlation between the structural seismic response and the elastic spectra, and the correlation between the seismic response and constant-strength spectra decreases with the increasing of the normalized yield strength. However, the correlation between the seismic response and the constant-ductility spectra increases with the increasing of the ductility level. The correlation between the seismic response and the input energy spectra is highest in case of low normalized yield strength spectra. It is recommended that the input energy spectra, constant-strength velocity spectra and constant-ductility acceleration or displacement spectra could be considered to select the input strong ground motions. The results and conclusions can be referenced to select the appropriate ground motion for the nonlinear time history analysis.
引文
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[8] 张耀庭, 刘昌芳, 王晓伟. 结构非线性时程分析中的地震动参数选择[J]. 地震工程与工程振动, 2016, 36(4): 153-162.ZHANG Yaoting, LIU Changfang, WANG Xiaowei. Parameter selection of ground motion in nonlinear time history analysis of structure[J], Earthquake Engineering and Engineering Dynamics, 2016, 36(4): 153-162.(in Chinese)
[9] Power M, Chiou B, Abrahamson N, et al. An overview of the NGA project[J].Earthquake Spectra, 2008, 24(1): 3-21.
[10] 解全才, 马强, 杨程. 强震动数据库发展现状与展望[J]. 地震工程与工程振动, 2017, 37(3): 48-56.XIE Quancai, MA Qiang, YANG Cheng. A review of study on strong motion database[J]. Earthquake Engineering and Engineering Dynamics, 2017, 37(3): 48-56. (in Chinese)
[11] Chopra A K. Dynamics of structures: theory and applications to earthquake engineering[M]. Beijing: Higher Education Press, 2007.
[12] 公茂盛, 谢礼立, 章文波. 地震动输入能量衰减规律的研究[J]. 地震工程与工程振动, 2003, 23(3): 15-24.GONG Maosheng, XIE Lili, ZHANG Wenbo. Attenuation of inputenergy of strong ground motion[J].Earthquake Engineeringand Engineering Dynamics, 2003, 23(3): 15-24. (in Chinese)
[13] Lin Shibin, Xie Lili, Gong Maosheng, et al. Performance-based methodology for assessing seismic vulnerability and capacity of buildings[J]. Earthquake Engineering and Engineering Vibration, 2010, 9(2): 157-165.
[2] 曲哲, 叶列平, 潘鹏. 建筑结构弹塑性时程分析中地震动记录选取方法的比较研究[J]. 土木工程学报, 2011, 44(7): 10-21.QU Zhe, YE Lieping, PAN Peng. Comparative study on methods of selecting earthquake ground motions for nonlinear time history analyses of building structures[J]. China Civil Engineering Journal, 2011, 44(7):10-21. (in Chinese)
[3] 杨溥, 李英民, 赖明. 结构时程分析法输入地震波的选择控制指标[J]. 土木工程学报, 2000, 33(6):33-37.YANG Pu, LI Yingmin, LAI Ming. A new method for selecting inputting waves for time-history analysis[J]. China Civil Engineering Journal, 2000, 33(6):33-37. (in Chinese)
[4] 李琳. 强震动记录选取中目标谱的研究及应用[D]. 哈尔滨:中国地震局工程力学研究所, 2015.LI Lin. Research and Application of the target spectrum in strong motion records selection[D]. Harbin: Institute of Engineering Mechanics, China Earthquake Administration, 2015. (in Chinese)
[5] 谢礼立, 翟长海. 最不利设计地震动研究[J]. 地震学报, 2003, 25(3):250-261.XIE Lili, ZHAI Changhai. Study on the severest real ground motion for seismic design and analysis[J]. Acta Seismologica Sinica, 2003, 25(3): 250-261. (in Chinese)
[6] 翟长海, 谢礼立. 抗震结构最不利设计地震动研究[J]. 土木工程学报, 2005, 38(12):51-58.ZHAI Changhai, XIE Lili. The severest design ground motions for seismic design and analysis of structures[J]. China Civil Engineering Journal, 2005, 38(12):51-58. (in Chinese)
[7] 黄盛楠, 马千里, 叶列平. 罕遇地震下RC框架结构最大弹塑性层间位移的实用计算方法[J]. 工程力学, 2014, 31(4):69-75.HUANG Shengnan, MA Qianli, YE Lieping. Estimation of seismic story drifts in RC frame structures subjected to severe earthquakes[J]. Engineering Mechanics, 2014, 31(4):69-75. (in Chinese)
[8] 张耀庭, 刘昌芳, 王晓伟. 结构非线性时程分析中的地震动参数选择[J]. 地震工程与工程振动, 2016, 36(4): 153-162.ZHANG Yaoting, LIU Changfang, WANG Xiaowei. Parameter selection of ground motion in nonlinear time history analysis of structure[J], Earthquake Engineering and Engineering Dynamics, 2016, 36(4): 153-162.(in Chinese)
[9] Power M, Chiou B, Abrahamson N, et al. An overview of the NGA project[J].Earthquake Spectra, 2008, 24(1): 3-21.
[10] 解全才, 马强, 杨程. 强震动数据库发展现状与展望[J]. 地震工程与工程振动, 2017, 37(3): 48-56.XIE Quancai, MA Qiang, YANG Cheng. A review of study on strong motion database[J]. Earthquake Engineering and Engineering Dynamics, 2017, 37(3): 48-56. (in Chinese)
[11] Chopra A K. Dynamics of structures: theory and applications to earthquake engineering[M]. Beijing: Higher Education Press, 2007.
[12] 公茂盛, 谢礼立, 章文波. 地震动输入能量衰减规律的研究[J]. 地震工程与工程振动, 2003, 23(3): 15-24.GONG Maosheng, XIE Lili, ZHANG Wenbo. Attenuation of inputenergy of strong ground motion[J].Earthquake Engineeringand Engineering Dynamics, 2003, 23(3): 15-24. (in Chinese)
[13] Lin Shibin, Xie Lili, Gong Maosheng, et al. Performance-based methodology for assessing seismic vulnerability and capacity of buildings[J]. Earthquake Engineering and Engineering Vibration, 2010, 9(2): 157-165.