Random seismic responses and reliability of isolated structures based on probability density evolution method

GU Zhenyuan1,2,WANG Shuguang2,DU Dongsheng2,LIU Weiqing2

Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (15) : 97-103.

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PDF(842 KB)
Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (15) : 97-103.

Random seismic responses and reliability of isolated structures based on probability density evolution method

  • GU Zhenyuan1,2,WANG Shuguang2,DU Dongsheng2,LIU Weiqing2
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Abstract

An isolated structure was simplified as a two-mass dynamic model, and effects of its random structural parameters on its displacement response and reliability under stochastic earthquake excitations were investigated. Bouc-Wen model and the stiffness degenerated Bouc-Wen model were used to simulate its isolation layer and superstructure, respectively. Using the probability density evolution method and the reliability theory based on extreme value distribution, the inter-story displacement responses of the isolation layer and superstructure, and the reliability of the whole structure under different site conditions, damping ratios, period ratios and yield force ratios were solved. The design parameters were optimized. The results showed that the probability density evolution method can effectively evaluate the aseismic performance of the isolated structure; appropriately choosing design parameters can make displacement responses of both the isolation layer and the superstructure be the minimum to improve the reliability of the whole structure.



Key words

 isolated structure / probability density evolution method / random response / parametric optimization / reliability

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GU Zhenyuan1,2,WANG Shuguang2,DU Dongsheng2,LIU Weiqing2. Random seismic responses and reliability of isolated structures based on probability density evolution method[J]. Journal of Vibration and Shock, 2018, 37(15): 97-103

References

[1] 李桂青, 李秋胜. 工程结构时变可靠度理论及其应用[M]. 北京: 科学出版社, 2001.
[2] 李杰, 陈建兵. 随机结构动力反应分析的概率密度演化方法[J]. 力学学报, 2003, 35(4): 437-442.
LI Jie, CHEN Jian-bing. Probability density evolution method for analysis of stochastic structural dynamic response[J]. Acta Mechanics, 2003, 35(4): 437-442.
[3] 陈建兵,李杰. 结构随机地震反应与可靠度的概率密度演化分析研究进展[J]. 工程力学, 2014,31(4): 1-10.
CHEN Jian-bing, LI Jie. Probability density evolution method for stochastic seismic response and reliability of structures[J]. Engineering Mechanics, 2014,31(4): 1-10.
[4] Boucher C. Probability-based optimal design of friction-based seismic isolation devices [J]. Structural Safety, 2010, 31(6): 500-507.
[5] 杜永峰, 白莉, 李慧, 等. 基于动力可靠度的隔震结构参数模糊优化[J]. 世界地震工程, 2007,23(3):60-67.
DU Yong-feng, BAI Li, LI Hui, et al. Fuzzy optimization of isolation parameters based on dynamic reliability [J]. World Earthquake Engineering, 2007, 23(3):60-67.
[6] 孙广俊, 李爱群. 基础隔震结构动力可靠度分析及参数优化[J]. 东南大学学报, 2009, 39(2): 320-327.
SUN Guang-jun, LI Ai-qun. Dynamic reliability analysis and parameter optimization of base isolation structure[J]. Journal of Southeast University,2009,39(2):320- 327.
[7] Chen J B, Li J. Dynamic response and reliability analysis of nonlinear stochastic structures [J]. Probabilistic Engineering Mechanics, 2005, 20(1): 33-44.
[8] Chen J B, Li J. The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters [J]. Structural Safety, 2007, 29(2):77-93.
[9] Baber T T, Wen Y K. Random vibration hysteretic, degrading systems[J]. Journal of Engineering Mechanics, ASCE, 1981, 107(6):1069-1087.
[10] Kelly J M. Earthquake resistant design with rubber [M]. Second Edition, Springer-Verlag London Limited, 1997.
[11] 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): 45-53. OU Jinping, NIU Ditao, DU Xiuli. Random earthquake ground motion model and its parameter determination used in aseismic design[J]. Earthquake Engineering and Engineering Vibration,1991,11(3):45-54.
[12] Li J, Chen J B. The number theoretical method in response analysis of nonlinear stochastic structures [J]. Computational Mechanics, 2007, 39(6):693- 708.
[13] 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): 21-26.
LI Jie, AI Xiao-qiu. Study on random model of earthquake ground motion based on physical process[J]. Earthquake Engineering and Engineering Vibration,2006, 26(5): 21-26.
[14] 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): 7-12.
AI Xiao-qiu, LI Jie. Synthesis method of non-stationary ground motion based on random Fourier spectra[J]. Engineering and Engineering Vibration,2009, 29(2): 7-12.
 
 
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