基于模态pushover的结构地震随机反应分析
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摘要
为实现多自由度结构的随机地震响应可靠度分析。基于模态Pushover分析,得到各阶模态对应的荷载-位移曲线,进而建立各阶模态对应单自由度恢复力模型。结合我国现行《建筑抗震设计规范(GB50011-2010)》,确定随机地震动模型及参数,进行各阶模态对应的等效单自由度随机地震响应分析。基于模态Pushover基本理论,将多自由度结构分析转化为等效单自由度随机地震响应组合,得到结构整体随机地震响应。并通过实际算例表明本文方法的分析过程和计算精度。本方法可较方便地进行结构抗震可靠度评估,研究成果对多自由度结构抗震随机分析和Pushover发展具有实际意义。
The objective of this paper is the establishment of reliability analysis of MDOF structure under random earthquake response. The load-displacement curve of each mode was obtained by model pushover analysis,and the model of single degree restoring force was given. Subsequently,the model and coefficients of stochastic seismic were defined by the Chinese seismic design code( GB50011-2010),and also the equivalent single degree of each mode. Hence,the analysis of MDOF structure was transformed to combination of equivalent SDOF structure,so as to provide the stochastic seismic response of the whole structure. The numeral example shows that the method presented by the paper can make the assessment of structure safety effectively. the research has practical significance to stochastic seismic analysis of MDOF structure and model pushover analysis.
The objective of this paper is the establishment of reliability analysis of MDOF structure under random earthquake response. The load-displacement curve of each mode was obtained by model pushover analysis,and the model of single degree restoring force was given. Subsequently,the model and coefficients of stochastic seismic were defined by the Chinese seismic design code( GB50011-2010),and also the equivalent single degree of each mode. Hence,the analysis of MDOF structure was transformed to combination of equivalent SDOF structure,so as to provide the stochastic seismic response of the whole structure. The numeral example shows that the method presented by the paper can make the assessment of structure safety effectively. the research has practical significance to stochastic seismic analysis of MDOF structure and model pushover analysis.
引文
[1]Cornell CA,Engineering Seismic Risk Analysis[J].BSSA.1968,158(5).
[2]贡金鑫,仲伟秋,赵国藩.工程结构可靠性基本理论的发展与应用[J].建筑结构学报,2002,23(4):2-9.
[3]朱位秋.非线性随机动力学与控制——Hamilton理论体系框架[M].北京:科学出版社,2003.
[4]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998.
[5]Saiidi M,Sozen MA,Simple Nonlinear Analysis of R/C Structures[J].J.Struct.Div.,ASCE.1981:107(st5):937-951.
[6]种迅,李忠献.Pushover分析中的侧向力分布的影响[J].工程力学增刊,2001.298-302.
[7]A.K.Chopra,R.K.Goel.A model pushover analysis procedure for estimating seismic demands for buildings[J].Earthquake engineering and structural dynamics.2002,31():561-582.
[8]毛建猛,谢礼立,翟长海.模态pushover分析方法的研究和改进[J].地震工程与工程振动,2006,26(6):50-55.
[9]薛素铎,王雪生,曹资.基于新抗震规范的地震动随机模型参数研究[J].土木工程学报,2003,36(5):5-9/
[10]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.
[11]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.
[2]贡金鑫,仲伟秋,赵国藩.工程结构可靠性基本理论的发展与应用[J].建筑结构学报,2002,23(4):2-9.
[3]朱位秋.非线性随机动力学与控制——Hamilton理论体系框架[M].北京:科学出版社,2003.
[4]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998.
[5]Saiidi M,Sozen MA,Simple Nonlinear Analysis of R/C Structures[J].J.Struct.Div.,ASCE.1981:107(st5):937-951.
[6]种迅,李忠献.Pushover分析中的侧向力分布的影响[J].工程力学增刊,2001.298-302.
[7]A.K.Chopra,R.K.Goel.A model pushover analysis procedure for estimating seismic demands for buildings[J].Earthquake engineering and structural dynamics.2002,31():561-582.
[8]毛建猛,谢礼立,翟长海.模态pushover分析方法的研究和改进[J].地震工程与工程振动,2006,26(6):50-55.
[9]薛素铎,王雪生,曹资.基于新抗震规范的地震动随机模型参数研究[J].土木工程学报,2003,36(5):5-9/
[10]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.
[11]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.
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