基础隔震结构动力可靠度分析及参数优化
|
摘要
假定地震为平稳过滤高斯白噪声过程,基于隔震支座的等效动刚度和等效黏滞阻尼比建立了基础隔震结构的动力方程.针对动力方程中非经典阻尼的情况,采用状态空间理论和复模态叠加法对振动方程进行了解耦,推导了基础隔震体系上部结构和隔震层在随机地震动激励下的方差反应解析式.采用变形准则分别定义了上部结构和隔震层的极限状态,根据首次超越机制,并基于串联可靠度模型建立了隔震结构在给定地震动下的条件动力可靠度计算方法.通过一个基础隔震框架计算实例,说明了该方法的运用.在此基础上,分析了隔震支座等效动刚度和等效黏滞阻尼比对隔震结构随机反应和可靠度的影响,并以失效概率为优化目标,对隔震参数进行优化.该方法可以从整体上对隔震结构可靠性进行评估,为基于可靠度的隔震参数优化提供基础.
The earthquake-induced ground motion is assumed to be zero mean valued stationary filtered Gaussian white noise process.The equation of motion of multi-degree of freedom structure with base isolation is represented by the state equation in state space according to the special situation that the damping matrix is not classical.In the state space,the complex mode superposition method is used to deduce the covariance responses of superstructure and isolation layer of base isolation system under excitation of random seismic ground motion.According to the deformation failure criterion,the limit states of superstructure and isolation layer are defined,respectively.The reliability model of the multi-story structure is considered as series connection model,the dynamic conditional failure probability of superstructure,isolation layer and base isolation structure are evaluated,respectively at given ground acceleration on the basis of the first passage mechanism.Then,a frame structure with base isolation is given as numerical example and the effect of equivalent dynamic stiffness and viscous damping ratio of isolation layer on the random response and dynamic reliability are analyzed,respectively.Considering the failure reliability as optimization objective,the parameters of isolation layer are optimized.This method can be applied to evaluate the overall performance of the base-isolation structure and can be a basis of reliability-based optimization for the seismic isolation structures.
The earthquake-induced ground motion is assumed to be zero mean valued stationary filtered Gaussian white noise process.The equation of motion of multi-degree of freedom structure with base isolation is represented by the state equation in state space according to the special situation that the damping matrix is not classical.In the state space,the complex mode superposition method is used to deduce the covariance responses of superstructure and isolation layer of base isolation system under excitation of random seismic ground motion.According to the deformation failure criterion,the limit states of superstructure and isolation layer are defined,respectively.The reliability model of the multi-story structure is considered as series connection model,the dynamic conditional failure probability of superstructure,isolation layer and base isolation structure are evaluated,respectively at given ground acceleration on the basis of the first passage mechanism.Then,a frame structure with base isolation is given as numerical example and the effect of equivalent dynamic stiffness and viscous damping ratio of isolation layer on the random response and dynamic reliability are analyzed,respectively.Considering the failure reliability as optimization objective,the parameters of isolation layer are optimized.This method can be applied to evaluate the overall performance of the base-isolation structure and can be a basis of reliability-based optimization for the seismic isolation structures.
引文
[1]李爱群.工程结构减振控制[M].北京:机械工业出版社,2007.
[2]Buckle I G,Mayer R L.Seismic isolation:history,ap-plication,and performance—a world view[J].Earth-quake Spectra,1990,6(2):135-148.
[3]洪峰.基底隔震结构的随机地震反应分析和概率设计[D].哈尔滨:国家地震局工程力学研究所,1995.
[4]Jangid R S,Datta T K.Performance of base isolationsystems for asymmetric building subject to random exci-tation[J].Journal of Engineering Structures,1995,17(6):443-454.
[5]Palazzo B,Pett L.Response of base isolated system torandom excitations[J].European Earthquake Engineer-ing,1996,10(2):651-661.
[6]江宜城,唐家祥.基础隔震结构对随机激励的响应分析[J].世界地震工程,2002,18(2):39-42.Jiang Yicheng,Tang Jiaxiang.Response of a base-isola-ted building under random excitation[J].World Earth-quake Engineering,2002,18(2):39-42.(in Chinese)
[7]杜永峰,张恩海,李慧,等.隔震结构“小震不坏”的动力可靠度分析[J].地震工程与工程振动,2004,24(5):84-91.Du Yongfeng,Zhang Enhai,Li Hui,et al.Dynamic re-liability of isolated structure for“undamaged under mi-nor earthquake”[J].Earthquake Engineering and Engi-neering Vibration,2004,24(5):84-91.(in Chinese)
[8]马万成,周福霖,黄襄云.随机地震激励下基础隔震结构的复模态解析法[J].广州大学学报:自然科学版,2006,5(2):82-85.Ma Wancheng,Zhou Fulin,Huang Xiangyun.Thecomplex mode methods for analysis of random earth-quake response of structures with base-isolation[J].Journal of Guangzhou University:Natural Science Edi-tion,2006,5(2):82-85.(in Chinese)
[9]李创第,丁晓华,陈俊忠,等.基础隔震结构基于Clough-Penzien谱随机地震响应分析的复模态法[J].振动与冲击,2006,25(5):162-199.Li Chuangdi,Ding Xiaohua,Chen Junzhong,et al.Complex modal method for analysis of random earth-quake response of structures with base isolation on thebasis of Clough-Penzien spectrum[J].Journal of Vibra-tion and Shock,2006,25(5):162-199.(in Chinese)
[10]张富有,刘汉龙,崔艺斌.并联基础隔震结构的地震随机响应分析[J].岩土力学,2006,27(11):1927-1934.Zhang Fuyou,Liu Hanlong,Cui Yibin.Analysis ofrandom responses to earthquake of parallel base isolatedstructure[J].Rock and Soil Mechanics,2006,27(11):1927-1934.(in Chinese)
[11]Igusa T,der Kiureghian A,Sackman J L.Modal de-composition method for stationary response of nonclas-sically damped structures[J].Earthquake Engineering&Structural Dynamics,1984,12(1):121-136.
[12]孙广俊,李鸿晶.平稳随机地震地面运动过程模型及其统计特征[J].地震工程与工程振动,2004,24(6):21-26.Sun Guangjun,Li Hongjing.Stationary models of ran-dom earthquake ground motion and their statisticalproperties[J].Earthquake Engineering and Engineer-ing Vibration,2004,24(6):21-26.(in Chinese)
[13]李鸿晶,孙广俊.结构平稳随机地震反应时域分析:方法[J].地震工程与工程振动,2005,25(4):31-36.Li Hongjing,Sun Guangjun.Random seismic responseanalysis of structures in time domain:methodology[J].Earthquake Engineering and Engineering Vibra-tion,2005,25(4):31-36.(in Chinese)
[14]Hwang H H M,Low Y K.Seismic reliability analysisof plane frame structures[J].Probabilistic Engineer-ing Mechanics,1989,4(2):74-84.
[15]中国工程建设标准化协会.CECS126:2001叠层橡胶支座隔震技术规程[S].北京:中国建筑工业出版社,2001.
[2]Buckle I G,Mayer R L.Seismic isolation:history,ap-plication,and performance—a world view[J].Earth-quake Spectra,1990,6(2):135-148.
[3]洪峰.基底隔震结构的随机地震反应分析和概率设计[D].哈尔滨:国家地震局工程力学研究所,1995.
[4]Jangid R S,Datta T K.Performance of base isolationsystems for asymmetric building subject to random exci-tation[J].Journal of Engineering Structures,1995,17(6):443-454.
[5]Palazzo B,Pett L.Response of base isolated system torandom excitations[J].European Earthquake Engineer-ing,1996,10(2):651-661.
[6]江宜城,唐家祥.基础隔震结构对随机激励的响应分析[J].世界地震工程,2002,18(2):39-42.Jiang Yicheng,Tang Jiaxiang.Response of a base-isola-ted building under random excitation[J].World Earth-quake Engineering,2002,18(2):39-42.(in Chinese)
[7]杜永峰,张恩海,李慧,等.隔震结构“小震不坏”的动力可靠度分析[J].地震工程与工程振动,2004,24(5):84-91.Du Yongfeng,Zhang Enhai,Li Hui,et al.Dynamic re-liability of isolated structure for“undamaged under mi-nor earthquake”[J].Earthquake Engineering and Engi-neering Vibration,2004,24(5):84-91.(in Chinese)
[8]马万成,周福霖,黄襄云.随机地震激励下基础隔震结构的复模态解析法[J].广州大学学报:自然科学版,2006,5(2):82-85.Ma Wancheng,Zhou Fulin,Huang Xiangyun.Thecomplex mode methods for analysis of random earth-quake response of structures with base-isolation[J].Journal of Guangzhou University:Natural Science Edi-tion,2006,5(2):82-85.(in Chinese)
[9]李创第,丁晓华,陈俊忠,等.基础隔震结构基于Clough-Penzien谱随机地震响应分析的复模态法[J].振动与冲击,2006,25(5):162-199.Li Chuangdi,Ding Xiaohua,Chen Junzhong,et al.Complex modal method for analysis of random earth-quake response of structures with base isolation on thebasis of Clough-Penzien spectrum[J].Journal of Vibra-tion and Shock,2006,25(5):162-199.(in Chinese)
[10]张富有,刘汉龙,崔艺斌.并联基础隔震结构的地震随机响应分析[J].岩土力学,2006,27(11):1927-1934.Zhang Fuyou,Liu Hanlong,Cui Yibin.Analysis ofrandom responses to earthquake of parallel base isolatedstructure[J].Rock and Soil Mechanics,2006,27(11):1927-1934.(in Chinese)
[11]Igusa T,der Kiureghian A,Sackman J L.Modal de-composition method for stationary response of nonclas-sically damped structures[J].Earthquake Engineering&Structural Dynamics,1984,12(1):121-136.
[12]孙广俊,李鸿晶.平稳随机地震地面运动过程模型及其统计特征[J].地震工程与工程振动,2004,24(6):21-26.Sun Guangjun,Li Hongjing.Stationary models of ran-dom earthquake ground motion and their statisticalproperties[J].Earthquake Engineering and Engineer-ing Vibration,2004,24(6):21-26.(in Chinese)
[13]李鸿晶,孙广俊.结构平稳随机地震反应时域分析:方法[J].地震工程与工程振动,2005,25(4):31-36.Li Hongjing,Sun Guangjun.Random seismic responseanalysis of structures in time domain:methodology[J].Earthquake Engineering and Engineering Vibra-tion,2005,25(4):31-36.(in Chinese)
[14]Hwang H H M,Low Y K.Seismic reliability analysisof plane frame structures[J].Probabilistic Engineer-ing Mechanics,1989,4(2):74-84.
[15]中国工程建设标准化协会.CECS126:2001叠层橡胶支座隔震技术规程[S].北京:中国建筑工业出版社,2001.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心