Journal of Central South University

, Volume 21, Issue 6, pp 2477–2486 | Cite as

Parametric study on collapse margin ratio of structure

  • Xiao-ying Ou (欧晓英)
  • Zheng He (何政)
  • Jin-ping Ou (欧进萍)
Article

Abstract

The determination of collapse margin ratio (CMR) of structure is influenced by many uncertain factors. Some factors that can affect the calculation of CMR, e.g., the elongation of the structural fundamental period prior to collapse, the determination of earthquake intensity measure, the seismic hazard probability, and the difference of the spectral shapes between the median spectrum of the ground motions and the design spectrum, were discussed. Considering the elongation of the structural fundamental period, the intensity measure S a(T 1) should be replaced with S a* in the calculation of CMR for short-period and medium-period structures. The reasonable intensity measure should be determined by the correlation analysis between the earthquake intensity measure and the damage index of the structure. Otherwise, CMR should be adjusted according to the seismic hazard probability and the difference in the spectral shapes. For important long-period structures, CMR should be determined by the special site spectrum. The results indicate that both S a(T 1) and spectrum intensity (SI) could be used as intensity measures in the calculation of CMR for medium-period structures, but SI would be a better choice for long-period structures. Moreover, an adjusted CMR that reflects the actual seismic collapse safety of structures is provided.

Key words

collapse margin ratio strong ground motion intensity measurement probability of exceedance Housner’s spectrum intensity spectrum acceleration 

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References

  1. [1]
    GB 50011-2010. Code for Seismic Design of Buildings [S]. 2010. (in Chinese)Google Scholar
  2. [2]
    OU Jin-ping, LI Hui, WU Bin, GUO An-xin. Earthquake engineering disaster and fortification (II): Analysis and comparison of seismic design code [R]// Wenchuan earthquake: Report of Building Seismic Damage Survey and Post-earthquake Reconstruction Analysis. Beijing: China Architecture and Building Press, 2008. (in Chinese)Google Scholar
  3. [3]
    VAMVATSIKOS D, CORNELL C A. Incremental dynamic analysis [J]. Earthquake Engineering and Structural Dynamics, 2002, 31(3): 491–514.CrossRefGoogle Scholar
  4. [4]
    IBARRA L F, KRAWINKLER H. Global collapse of frame structures under seismic excitations [R]. Berkeley: Report No. PEER 2005/06, Pacific Earthquake Engineering Research Center, 2005.Google Scholar
  5. [5]
    HASELTON C B, BAKER J W, LIEL A B, DEIERLEIN G G. Accounting for ground motion spectral shape characteristics in structural collapse assessment through an adjustment for epsilon [J]. Journal of Structural Engineering, 2011, 137(3): 332–344.CrossRefGoogle Scholar
  6. [6]
    HASELTON C B, LIEL A B, DEIERLEIN G G, DEAN B S, CHOU J H. Seismic collapse safety of reinforced concrete buildings: I. Assessment of ductile moment frames [J]. Journal of Structural Engineering, 2011, 137(4): 481–491.CrossRefGoogle Scholar
  7. [7]
    ATC-63. Quantification of Building Seismic Performance Factors [S]. Applied Technology Council, 2010.Google Scholar
  8. [8]
    LI Y, YIN Y J, ELLINGWOOD B R, BULLEIT W M. Uniform hazard versus uniform risk bases for performance-based earthquake engineering of light-frame wood construction [J]. Earthquake Engineering and Structure Dynamics, 2010, 39: 1199–1217.CrossRefGoogle Scholar
  9. [9]
    LU Xin-zheng, YE Lie-ping. Study on the seismic collapse resistance of structural system [J]. Earthquake Resistant Engineering and Retrofitting, 2010, 32(1): 13–18. (in Chinese)MathSciNetGoogle Scholar
  10. [10]
    LU Xin-zheng, TANG Dai-yuan, YE Lie-ping, SHI Wei. Study on the seismic collapse resistance of RC frame structures with equal spans in 7-degree seismic intensity zone [J]. Journal of Earthquake Engineering and Engineering Vibration, 2011, 31(5): 13–20. (in Chinese)CrossRefGoogle Scholar
  11. [11]
    LU Xin-zheng, ZHANG Wan-kai, LIU Guo-huan. Prediction of seismic collapse vulnerability of RC frame based on pushover analysis method [J]. Journal of Earthquake Engineering and Engineering Vibration, 2012, 32(4): 1–6. (in Chinese)CrossRefGoogle Scholar
  12. [12]
    LU Da-gang, YU Xiao-hui, CHEN Zhi-heng. Lateral seismic collapse fragility analysis of RC frame structures [J]. Journal of Harbin Institute of Technology, 2011, 43(6): 1–5. (in Chinese)MATHGoogle Scholar
  13. [13]
    ZAREIAN F, KRAWINKLER H. Assessment of probability of collapse and design for collapse safety [J]. Earthquake Engineering and Structure Dynamics, 2007, 36: 1901–1914.CrossRefGoogle Scholar
  14. [14]
    FAJFAR P, VIDIC T, FISCHINGER M. A measure of earthquake motion capacity to damage medium-period structures [J]. Soil Dynamics and Earthquake Engineering, 1990, 9(5): 236–242.CrossRefGoogle Scholar
  15. [15]
    HOUSNER G W, JENNINGS P C. The capacity of extreme earthquake motions to damage structures [R]// Structural and Geotechnical Mechanics, a volume honoring N M Newmark, Prentice Hall, 1977: 102–116.Google Scholar
  16. [16]
    BAZZURRO P, SHOME N, CARBALLO J E, CORNELL C A. Three proposals for characterizing MDOF nonlinear seismic response [J]. Journal of Structural Engineering, 1998, 124(11): 1281–1289.CrossRefGoogle Scholar
  17. [17]
    HOUSNER G W. Spectrum intensities of strong motion earthquakes [R]. California: Proceedings of the Symposium on Earthquake and Blast Effects on Structures, 1952.Google Scholar
  18. [18]
    DECANINI L D, MOLLAIOLI F. An energy-based methodology for the assessment of seismic demand [J]. Soil Dynamics and Earthquake Engineering, 2001, 21(2): 113–137.CrossRefGoogle Scholar
  19. [19]
    OU Xiao-ying, HE Zheng, OU Jin-ping. Evaluation on macro-level based global seismic damage models [C]// 10th International Conference on Civil and Environmental Engineering. Taiwan, 2011: 56–62.Google Scholar
  20. [20]
    GHOBARAH A, ABOU-ELFATH H, BIDDAH A. Response-based damage assessment of structures [J]. Earthquake Engineering & Structural Dynamics, 1999, 28: 79–104.CrossRefGoogle Scholar
  21. [21]
    DIPASQUALE E, JU JW, ASKAR A. Relation between global damage indices and local stiffness degradation [J]. Journal of Structural Engineering, ASCE, 1990, 116(5): 1440–1456.CrossRefGoogle Scholar
  22. [22]
    BAKER J, CORNELL C A. A vector-valued ground motion intensity measure consisting of spectral acceleration and epsilon [J]. Earthquake Engineering & Structural Dynamics, 2005, 34: 1193–1217.CrossRefGoogle Scholar
  23. [23]
    CODOVA P P, MEHANNY S S. Development of a two-parameter seismic intensity measure and probabilistic design procedure [J]. Journal of Engineering and Applied Science, 2004, 5l(2): 233–252.Google Scholar
  24. [24]
    YE Lie-ping, MA Qian-li, MIAO Zhi-wei. Study on earthquake intensities for seismic analysis of structures [J]. Journal of Earthquake Engineering and Engineering Vibration, 2009, 29(4): 9–22. (in Chinese)Google Scholar
  25. [25]
    RIDDELL R, GARCIA E J. Hysteretic energy spectrum and damage control [J]. Earthquake Engineering and Structure Dynamics, 2001, 30(12): 1791–1816.CrossRefGoogle Scholar
  26. [26]
    CORNELL C A. Calculating building seismic performance reliability: A basis for multilevel design norms [C]// 11th Conference on Earthquake Engineering, Mexico: Acapulco, 1996: 14–26.Google Scholar
  27. [27]
    NIE Jian-guo, TIAN Shu-ming. Seismic safety evaluation of tall RC frame-corewall structures [J]. Journal of Building Structures, 2010, 31(12): 48–55. (in Chinese)Google Scholar
  28. [28]
    CHOPRA A K. Dynamics of structures: Theory and applications to earthquake engineering [M]. 3rd Ed. New Jersey: Prentice-Hall Inc, 2006: 240–242.Google Scholar
  29. [29]
    PKPM software [R]. China Academy of Building Research, 2010. (in Chinese)Google Scholar
  30. [30]
    Open System for Earthquake Engineering Simulation [R]. Pacific Earthquake Engineering Research Center, University of California, Berkeley, 2011.Google Scholar

Copyright information

© Central South University Press and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Xiao-ying Ou (欧晓英)
    • 1
  • Zheng He (何政)
    • 1
  • Jin-ping Ou (欧进萍)
    • 1
  1. 1.Department of Civil EngineeringDalian University of TechnologyDalianChina

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