层间组合隔震结构随机动力可靠度分析
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摘要
为了限制隔震层在大震作用下的层间位移,基于在隔震层增设黏滞阻尼器的层间组合隔震体系,分别采用刚度非退化和退化的Bouc-Wen模型模拟隔震层及其他楼层的恢复力特性,建立了层间组合隔震结构在大震作用下的运动方程,运用虚拟激励法对该体系进行随机响应分析,得到了隔震层及其他各层层间响应峰值的统计量。以隔震层和其他各层的最大层间位移作为控制指标,建立极限状态方程,采用当量正态化法(JC法),基于串联模式计算了体系的动力可靠度。通过数值分析,比较了层间组合隔震、层间隔震与非隔震结构的总体失效概率。最后通过改变黏滞阻尼器的速度指数和黏滞阻尼系数,系统地研究了黏滞阻尼器参数对层间组合隔震结构动力可靠度的影响。结果表明:层间组合隔震结构的总体失效概率比层间隔震结构和非隔震结构都要低。当黏滞阻尼系数不变时,速度指数越小,结构的总体失效概率越低;当速度指数不变时,随着黏滞阻尼系数的增加,结构的总体失效概率呈现出先减小后增大的趋势,结构的主要失效模式也逐渐由隔震层过渡为上部结构。
In order to limit the drift of the isolation layer under major earthquake,an inter-story hybrid isolation system with adding viscous dampers in isolation layer is proposed.The restoring force characteristics of the isolation layer and other floors are simulated by Bouc-Wen and stiffness degrading Bouc-Wen models,respectively.The motion equation of the hybrid isolation system is established.The pseudo excitation method is used to calculate the stochastic seismic response of the inter-story hybrid isolation structure.Then,the statistical quantity of the maximum drift of each story is obtained.The maximum drift of isolation layer and other floors are adopted as the control index to establish the limit state equation.The dynamic reliability of the structure is derived by using JC method and taking the stories as series mode.The total failure probabilities of inter-story hybrid isolation and inter-story isolation structures are compared with that of the fixed base structure through a numerical example.Finally,the influence of viscous damper parameters on the dynamic reliability is studied by changing the velocity index and viscous damping coefficient.The analysis results indicate that the total failure probability of inter-story hybrid isolation structure is lower than those of inter-story isolation and non-isolation structures.When the viscous damping coefficient is constant,with decreasing the velocity index decreases,the total failure probability becomes lower.When the velocity index is constant,the total failure probability decreases at first and then increases with the viscous damping coefficient increases,and the main failure mode is also changed from isolation layer to superstructure.
In order to limit the drift of the isolation layer under major earthquake,an inter-story hybrid isolation system with adding viscous dampers in isolation layer is proposed.The restoring force characteristics of the isolation layer and other floors are simulated by Bouc-Wen and stiffness degrading Bouc-Wen models,respectively.The motion equation of the hybrid isolation system is established.The pseudo excitation method is used to calculate the stochastic seismic response of the inter-story hybrid isolation structure.Then,the statistical quantity of the maximum drift of each story is obtained.The maximum drift of isolation layer and other floors are adopted as the control index to establish the limit state equation.The dynamic reliability of the structure is derived by using JC method and taking the stories as series mode.The total failure probabilities of inter-story hybrid isolation and inter-story isolation structures are compared with that of the fixed base structure through a numerical example.Finally,the influence of viscous damper parameters on the dynamic reliability is studied by changing the velocity index and viscous damping coefficient.The analysis results indicate that the total failure probability of inter-story hybrid isolation structure is lower than those of inter-story isolation and non-isolation structures.When the viscous damping coefficient is constant,with decreasing the velocity index decreases,the total failure probability becomes lower.When the velocity index is constant,the total failure probability decreases at first and then increases with the viscous damping coefficient increases,and the main failure mode is also changed from isolation layer to superstructure.
引文
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[11]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998:311-317.
[12]林家浩,张亚辉,赵岩.虚拟激励法在国内外工程界的应用回顾与展望[J].应用数学和力学,2017,38(1):1-32.Lin Jiahao,Zhang Yahui,Zhao Yan.The pseudo-excitation method and its industrial applications in China and abroad[J].Applied Mathematics and Mechanics,2017,38(1):1-32.
[13]焦常科,李爱群.大跨斜拉桥多点激励随机地震响应研究[J].振动工程学报,2013,26(5):707-714.Jiao Changke,Li Aiqun.Research on random seismic response of long-span cable-stayed bridge under multiexcitation[J].Journal of Vibration Engineering,2013,26(5):707-714.
[14]冯青松,雷晓燕,练松良.轨道随机不平顺影响下高速铁路地基动力分析模型[J].振动工程学报,2013,26(6):927-933.Feng Qingsong,Lei Xiaoyan,Lian Songliang.A dynamic model of ground for high-speed railway with track random irregularities[J].Journal of Vibration Engineering,2013,26(6):927-933.
[15]GB50011-2010.建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.GB50011-2010.Code for seismic design of buildings[S].Beijing:China Architecture and Building Press,2010.
[16]唐怀忠.层间隔震结构的随机响应及可靠度分析[D].合肥:合肥工业大学,2006.
[17]王光远,朱靖华.地震作用下串、并联工程系统中结构失效相关性的近似处理[J].地震工程与工程振动,1998,18(4):1-7.Wang Guangyuan,Zhu Jinghua.Approximate method dealing with failure dependence among structures in disaster-resistant engineering system[J].Earthquake Engineering and Engineering Vibration,1998,18(4):1-7.
[18]张猛,张哲,李天.与规范反应谱相对应的CloughPenzien模型参数研究[J].世界地震工程,2007,23(1):56-60.Zhang Meng,Zhang Zhe,Li Tian.Study on parameters of Clough-Penzien seismic random model corresponding to response spectrum of GB50011-2001[J].World Earthquake Engineering,2007,23(1):56-60.
[2]Koh T,Kobayashi M.Vibratory characteristics and earthquake response of mid-story isolated buildings[J].Memoirs of the Institute of Sciences and Technology,Meiji University,2000,39(12),97-114.
[3]刘德稳,刘彦辉,盛冬发,等.考虑限位的层间隔震弹塑性地震响应分析[C].第26届全国结构工程学术会议论文集(第III册),中国长沙,2017:246-255.Liu Dewen,Liu Yanhui,Sheng Dongfa,et al.Study on sliding limit of mid-story isolation structural[C].Proceedings of the 26th National Conference on Structure Engineering,Changsha,China,2017:246-255.
[4]张颖,易伟建,谭平,等.大震下中间层隔震体系的随机动力可靠性分析[J].湖南大学学报(自然科学版),2009,36(3):11-15.Zhang Ying,Yi Weijian,Tan Ping,et al.The dynamic reliability of mid-story isolation structure under seldomly occurred earthquake[J].Journal of Hunan University(Natural Science),2009,36(3):11-45.
[5]Spencer B F,Nagarajaiah S.State of the art of structural control[J].Journal of Structural Engineering,2003,129(7):845-856.
[6]黄昆,邹立华,艾叶青.基于磁流变阻尼器的层间隔震结构半主动控制研究[J].世界地震工程,2006,22(9):142-147.Huang Kun,Zou Lihua,Ai Yeqing.Study of story isolated structures with magnetorheological dampers by semi-active control[J].World Earthquake Engineering,2006,22(9):142-147.
[7]张延年,李宏男.耦合地震作用下的MRD与LRB混合控制结构动力分析[J].工程力学,2008,25(4):26-30.Zhang Yannian,Li Hongnan.Seismic response of hybrid vibration control structure with MRD and LRBunder coupling earthquake[J].Engineering Mechanics,2008,25(4):26-30.
[8]颜桂云,陈福全,付朝江.近场脉冲型地震下层间隔震结构的隔震层限位减震分析[J].应用基础与工程科学学报,2016,24(1):90-102.Yan Guiyun,Chen Fuquan,Fu Chaojiang.Limiting deformation of isolation layers and reducing seismic response for mid-story isolated structures subjected to near-field pulse-like ground motion[J].Journal of Basic Science and Engineering,2016,24(1):90-102.
[9]周云.粘滞阻尼减震结构设计[M].武汉:武汉理工大学出版社,2006:104-107.
[10]杜永峰,李慧,金德保,等.大震下被动与智能隔震结构动力可靠度的对比[J].地震工程与工程振动,2006,26(4):212-219.Du Yongfeng,Li Hui,Jin Debao,et al.Comparison of seismic reliability of passive and smart isolated structures under major earthquakes[J].Earthquake Engineering and Engineering Vibration,2006,26(4):212-219.
[11]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998:311-317.
[12]林家浩,张亚辉,赵岩.虚拟激励法在国内外工程界的应用回顾与展望[J].应用数学和力学,2017,38(1):1-32.Lin Jiahao,Zhang Yahui,Zhao Yan.The pseudo-excitation method and its industrial applications in China and abroad[J].Applied Mathematics and Mechanics,2017,38(1):1-32.
[13]焦常科,李爱群.大跨斜拉桥多点激励随机地震响应研究[J].振动工程学报,2013,26(5):707-714.Jiao Changke,Li Aiqun.Research on random seismic response of long-span cable-stayed bridge under multiexcitation[J].Journal of Vibration Engineering,2013,26(5):707-714.
[14]冯青松,雷晓燕,练松良.轨道随机不平顺影响下高速铁路地基动力分析模型[J].振动工程学报,2013,26(6):927-933.Feng Qingsong,Lei Xiaoyan,Lian Songliang.A dynamic model of ground for high-speed railway with track random irregularities[J].Journal of Vibration Engineering,2013,26(6):927-933.
[15]GB50011-2010.建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.GB50011-2010.Code for seismic design of buildings[S].Beijing:China Architecture and Building Press,2010.
[16]唐怀忠.层间隔震结构的随机响应及可靠度分析[D].合肥:合肥工业大学,2006.
[17]王光远,朱靖华.地震作用下串、并联工程系统中结构失效相关性的近似处理[J].地震工程与工程振动,1998,18(4):1-7.Wang Guangyuan,Zhu Jinghua.Approximate method dealing with failure dependence among structures in disaster-resistant engineering system[J].Earthquake Engineering and Engineering Vibration,1998,18(4):1-7.
[18]张猛,张哲,李天.与规范反应谱相对应的CloughPenzien模型参数研究[J].世界地震工程,2007,23(1):56-60.Zhang Meng,Zhang Zhe,Li Tian.Study on parameters of Clough-Penzien seismic random model corresponding to response spectrum of GB50011-2001[J].World Earthquake Engineering,2007,23(1):56-60.
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