基于概率密度演化的隔震结构随机地震响应
|
摘要
本文考虑地震动的随机性,运用概率密度演化方法对基础隔震结构的随机响应进行研究。上部结构与隔震层分别采用刚度退化的Bouc-Wen模型与Bouc-Wen模型,建立隔震结构的概率密度演化方程,直接应用四阶龙格-库塔方法迭代求解隔震结构的非线性的响应,得出隔震结构在8度罕遇地震下每层的位移概率。结果显示隔震结构较非隔震结构上部结构的位移大大地减小了,上部结构具有足够的安全性。结构整个概率密度演化过程显示了隔震结构的响应信息,概率密度演化方法能够有效评估隔震结构的抗震性能。
This paper adopts the probability density evolution method to study the stochastic seismic responses of base isolated structure considering the randomness of seismic ground motion.The Bouc-Wen model and the BoucWen model with stiffness degradation are used to simulate the isolation layer and the upper structure.The probability density evolution equation of isolated structure is derived,and the Runge-Kutta method with iterative solution to the nonlinear response of isolated structure is adopted.The results show that the displacement of the upper structure of the seismic isolation system substantially reduces under seismic intensity 8,which is compared with the non-isolation system.The upper structure is in comparative safety.The probability density evolution process shows information of the response of the isolated structure,and it can effectively assess the seismic performance of isolated structures.
This paper adopts the probability density evolution method to study the stochastic seismic responses of base isolated structure considering the randomness of seismic ground motion.The Bouc-Wen model and the BoucWen model with stiffness degradation are used to simulate the isolation layer and the upper structure.The probability density evolution equation of isolated structure is derived,and the Runge-Kutta method with iterative solution to the nonlinear response of isolated structure is adopted.The results show that the displacement of the upper structure of the seismic isolation system substantially reduces under seismic intensity 8,which is compared with the non-isolation system.The upper structure is in comparative safety.The probability density evolution process shows information of the response of the isolated structure,and it can effectively assess the seismic performance of isolated structures.
引文
[1]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998:295-312.OU Jinping,WANG Guangyuan.Random vibration of structures[M].Beijing:High Education Press,1998:295-312.(in Chinese)
[2]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004:60-124.LIN Jiahao,ZHANG Yahui.Random vibration of pseudo excitation method[M].Beijing:Science Press,2004:60-124.(in Chinese)
[3]朱位秋,非线性随机动力学与控制与控制的哈密顿理论体系及应用,《随机振动理论与应用新进展》[M].上海:同济大学出版社,2009:3-40.ZHU Weiqiu.On stochastic optimal control of partially observable nonlinear quasi Hamiltonian systems,Advances in theory and applications of ran-dom vibration[M].Shanghai:Tongji University Press,2009:3-40.(in Chinese)
[4]李杰,陈建兵.随机振动理论与应用新进展[M].上海:同济大学出版社,2009:60-94.LI Jie,CHEN Jianbing.Advances in theory and applications of random vibration[M].Shanghai:Tongji University Press,2009:60-94.(inChinese)
[5]李杰,陈建兵.随机动力系统中的概率密度演化方程及其研究进展[J].力学进展,2010,40(2):171-188.LI Jie,CHEN Jianbing.Probability density evolution equation stochastic of stochastic dynamical system and researth advances[J].Advances inMechanics,2010,40(2):171-188.(in Chinese)
[6]刘章军.基于随机振动理论的抗震分析方法研究进展[J].地震工程与工程振动,2006,26(4):48-51.LIU Zhangjun.Advance of seismic analysis methods based on random vibration theory[J].Journal of Earthquake Engineering and Engineering Vi-bration,2006,26(4):48-51.(in Chinese)
[7]彭勇波,陈建兵,刘伟庆,等.隔震结构的随机地震反应与抗震可靠度评价[J].同济大学学报,2008,36(11):1458-1461.PENG Yongbo,CHEN Jianbing,LIU Weiqing,et al.Stochastic seismic response and aseismic reliability assessment of base-isolated structures[J].Journal of Tongji University,2008,36(11):1458-1461.(in Chinese)
[8]Li J,Chen J B.Stochastic dynamics of structures[M].Singapore:John Wiley&Sons,2009.
[9]陈建兵,李杰.随机结构静力反应概率密度演化方程的差分方法[J].力学季刊,2004,25(1):22-28.CHEN Jianbing,LI Jie.Different method for probability density evolution equation stochastic structural response[J].Chinese Quarterly of Mechan-ics,2004,25(1):22-28.(in Chinese)
[10]欧进萍,牛荻涛,杜修力.设计用随机地震动的模型及其参数确定[J].地震工程与工程振动,1991,11(3):46-54.OU Jinping,NIU Ditao,Du Xiuli.Random earthquake ground motion model and its parameter determination used in aseismic design[J].Journalof Earthquake Engineering and Engineering Vibration,1991,11(3):46-54.(in Chinese)
[11]Sues.et al,Stochastic Seismic Performance Evaluation of Building[R].Technical Report of Research,Depart of CEULU,1983.
[12]李杰,艾晓秋.基于物理的随机地震动模型研究[J].地震工程与工程振动,2006,26(5):22-26.LI Jie,AI Xiaoqiu.Study on random model of earthquake ground motion based on physical process[J].Journal of Earthquake Engineering andEngineering Vibration,2006,26(5):22-26.(in Chinese)
[13]艾晓秋,李杰.基于随机Fourier谱的地震动合成研究[J].地震工程与工程振动,2009,29(2):8-12.AI Xiaoqiu,LI Jie.Synthesis method of non-stationary ground motion based on random Fourier spectra[J].Journal of Earthquake Engineering andEngineering Vibration,2009,29(2):8-12.(in Chinese)
[2]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004:60-124.LIN Jiahao,ZHANG Yahui.Random vibration of pseudo excitation method[M].Beijing:Science Press,2004:60-124.(in Chinese)
[3]朱位秋,非线性随机动力学与控制与控制的哈密顿理论体系及应用,《随机振动理论与应用新进展》[M].上海:同济大学出版社,2009:3-40.ZHU Weiqiu.On stochastic optimal control of partially observable nonlinear quasi Hamiltonian systems,Advances in theory and applications of ran-dom vibration[M].Shanghai:Tongji University Press,2009:3-40.(in Chinese)
[4]李杰,陈建兵.随机振动理论与应用新进展[M].上海:同济大学出版社,2009:60-94.LI Jie,CHEN Jianbing.Advances in theory and applications of random vibration[M].Shanghai:Tongji University Press,2009:60-94.(inChinese)
[5]李杰,陈建兵.随机动力系统中的概率密度演化方程及其研究进展[J].力学进展,2010,40(2):171-188.LI Jie,CHEN Jianbing.Probability density evolution equation stochastic of stochastic dynamical system and researth advances[J].Advances inMechanics,2010,40(2):171-188.(in Chinese)
[6]刘章军.基于随机振动理论的抗震分析方法研究进展[J].地震工程与工程振动,2006,26(4):48-51.LIU Zhangjun.Advance of seismic analysis methods based on random vibration theory[J].Journal of Earthquake Engineering and Engineering Vi-bration,2006,26(4):48-51.(in Chinese)
[7]彭勇波,陈建兵,刘伟庆,等.隔震结构的随机地震反应与抗震可靠度评价[J].同济大学学报,2008,36(11):1458-1461.PENG Yongbo,CHEN Jianbing,LIU Weiqing,et al.Stochastic seismic response and aseismic reliability assessment of base-isolated structures[J].Journal of Tongji University,2008,36(11):1458-1461.(in Chinese)
[8]Li J,Chen J B.Stochastic dynamics of structures[M].Singapore:John Wiley&Sons,2009.
[9]陈建兵,李杰.随机结构静力反应概率密度演化方程的差分方法[J].力学季刊,2004,25(1):22-28.CHEN Jianbing,LI Jie.Different method for probability density evolution equation stochastic structural response[J].Chinese Quarterly of Mechan-ics,2004,25(1):22-28.(in Chinese)
[10]欧进萍,牛荻涛,杜修力.设计用随机地震动的模型及其参数确定[J].地震工程与工程振动,1991,11(3):46-54.OU Jinping,NIU Ditao,Du Xiuli.Random earthquake ground motion model and its parameter determination used in aseismic design[J].Journalof Earthquake Engineering and Engineering Vibration,1991,11(3):46-54.(in Chinese)
[11]Sues.et al,Stochastic Seismic Performance Evaluation of Building[R].Technical Report of Research,Depart of CEULU,1983.
[12]李杰,艾晓秋.基于物理的随机地震动模型研究[J].地震工程与工程振动,2006,26(5):22-26.LI Jie,AI Xiaoqiu.Study on random model of earthquake ground motion based on physical process[J].Journal of Earthquake Engineering andEngineering Vibration,2006,26(5):22-26.(in Chinese)
[13]艾晓秋,李杰.基于随机Fourier谱的地震动合成研究[J].地震工程与工程振动,2009,29(2):8-12.AI Xiaoqiu,LI Jie.Synthesis method of non-stationary ground motion based on random Fourier spectra[J].Journal of Earthquake Engineering andEngineering Vibration,2009,29(2):8-12.(in Chinese)
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