Pushover分析中抗力曲线的概率研究
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摘要
本文在已有的研究基础上,结合我国现行的抗震规范(GB50011-2001)和地震作用统计参数,提出了pushover分析中结构体系抗力曲线的保证率计算方法。以pushover分析所得的塑性铰出现次序和最终数量作为结构主要失效模式,同时考虑了结构抗力以及地震作用的随机性对结构体系抗力曲线的影响,借助于主要随机变量的灵敏度分析,得到了确定性pushover分析曲线的保证率。框架结构算例给出了本文方法的计算结果,并用重要抽样法进行了检验。
On the basis of studies about probabilistic analysis of the pushover method and the combination of Chinese seismic code(GB50011-2001) and the statistic parameters of earthquake action,a new computing method used for calculation of reliability of the structural capacity curve obtained from the pushover analysis is developed.With the pushover analysis,the sequence and number of the plastic hinges of a structure is taken as the dominant failure mode.The influence of probabilistic characteristics of the structure resistance and earthquake action on the structural capacity curve is considered.With the sensitivity analysis of main random variables,the reliability of a determinate capacity curve analyzed by pushover method can be obtained.A numerical example of a frame structure demonstrates the calculation results.The accuracy of the method is also verified by the importance sampling method.
On the basis of studies about probabilistic analysis of the pushover method and the combination of Chinese seismic code(GB50011-2001) and the statistic parameters of earthquake action,a new computing method used for calculation of reliability of the structural capacity curve obtained from the pushover analysis is developed.With the pushover analysis,the sequence and number of the plastic hinges of a structure is taken as the dominant failure mode.The influence of probabilistic characteristics of the structure resistance and earthquake action on the structural capacity curve is considered.With the sensitivity analysis of main random variables,the reliability of a determinate capacity curve analyzed by pushover method can be obtained.A numerical example of a frame structure demonstrates the calculation results.The accuracy of the method is also verified by the importance sampling method.
引文
[1]叶燎原,潘文.结构静力弹塑性分析(push-over)的原理和计算实例[J].建筑结构学报,2000,21(1):37-43.
[2]朱建华,沈蒲生.基于能量原理的钢筋混凝土框架结构层间弹塑性位移求解[J].工程抗震与加固改造,2005,27(5):1-4.
[3]周定松,吕西林.延性需求谱在基于性能的抗震设计中的应用[J].地震工程与工程振动,2004,24(1):30-38.
[4]侯爽.基于pushover分析和抗力衰减的钢筋混凝土结构震害预测[D].哈尔滨:哈尔滨工业大学,2001.
[5]欧进萍,侯钢领,吴斌.概率pushover分析方法及其在结构体系抗震可靠度评估中的应用[J].建筑结构学报,2001,22(6):81-86.
[6]刘红梁.pushover分析方法及其在结构层模型中的应用[D].哈尔滨:中国地震局工程力学研究所,2001.
[7]Krawinkler H,Seneviratna G D P K.Pros and cons of a pushover analysis of seismic performance evaluation[J].Engineering Structures,1998,20(4):452-464.
[8]王春光.近海钢导管架平台结构的健康诊断与寿命评估[D].北京:清华大学,1999.
[9]贡金鑫.工程结构可靠度计算方法[M].大连:大连工学院出版社,2003:335-341.
[10]Gupta B,Kunnath S K.Adaptive spectra-based pushover procedure for seismic evaluation of structures[J].Earthquake Spectra,2000,16(2):367-391.
[11]安伟光.结构系统可靠性和基于可靠性的优化设计[M].北京:国防工业出版社,1997:90-109.
[12]欧进萍,刘会仪.基于随机地震动的模型及其参数确定[J].地震工程与工程振动,1994,14(1):14-23.
[2]朱建华,沈蒲生.基于能量原理的钢筋混凝土框架结构层间弹塑性位移求解[J].工程抗震与加固改造,2005,27(5):1-4.
[3]周定松,吕西林.延性需求谱在基于性能的抗震设计中的应用[J].地震工程与工程振动,2004,24(1):30-38.
[4]侯爽.基于pushover分析和抗力衰减的钢筋混凝土结构震害预测[D].哈尔滨:哈尔滨工业大学,2001.
[5]欧进萍,侯钢领,吴斌.概率pushover分析方法及其在结构体系抗震可靠度评估中的应用[J].建筑结构学报,2001,22(6):81-86.
[6]刘红梁.pushover分析方法及其在结构层模型中的应用[D].哈尔滨:中国地震局工程力学研究所,2001.
[7]Krawinkler H,Seneviratna G D P K.Pros and cons of a pushover analysis of seismic performance evaluation[J].Engineering Structures,1998,20(4):452-464.
[8]王春光.近海钢导管架平台结构的健康诊断与寿命评估[D].北京:清华大学,1999.
[9]贡金鑫.工程结构可靠度计算方法[M].大连:大连工学院出版社,2003:335-341.
[10]Gupta B,Kunnath S K.Adaptive spectra-based pushover procedure for seismic evaluation of structures[J].Earthquake Spectra,2000,16(2):367-391.
[11]安伟光.结构系统可靠性和基于可靠性的优化设计[M].北京:国防工业出版社,1997:90-109.
[12]欧进萍,刘会仪.基于随机地震动的模型及其参数确定[J].地震工程与工程振动,1994,14(1):14-23.
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