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Response of Nonlinear SDOF Structures to Random Acceleration Sequences

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Improving the Earthquake Resilience of Buildings

Part of the book series: Springer Series in Reliability Engineering ((RELIABILITY))

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Abstract

In performance-based design, the structure is designed to behave linearly elastic without damage under a moderate frequent earthquake and to undergo repairable damage under a rare strong earthquake. Design earthquakes are specified in current seismic codes as single events. However, the structure may experience repeated accelerations in a short period of time. Ground accelerations of multiple sequences could result in more damage to the structure than a single ordinary event.

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References

  1. Ghobara A (2001) Performance-based design in earthquake engineering: state of development. Review article. Eng Struct 23:878–884

    Article  Google Scholar 

  2. SEAOC, Vision Committee (2002) Performance based seismic design engineering. Sacramento, USA: structural engineers association of California (SEAOC) report

    Google Scholar 

  3. Architectural Institute of Japan (2004) Recommendations for loads on buildings. AIJ, Tokyo

    Google Scholar 

  4. European Committee for Standardization (2003) Eurocode 8: design of structures for earthquake resistance. Brussels

    Google Scholar 

  5. International Building Code (2009) International code council Inc, USA

    Google Scholar 

  6. Eberhard M, Baldridge S, Marshall J, Mooney W, Rix G (2010) The Mw 7.0 Haiti earthquake of January 12, 2010. USGS/EERI advance reconnaissance team: team report V 1.0

    Google Scholar 

  7. Kyoshin-Net (2009) National research institute for earth science and disaster prevention. Available at http://www.k-net.bosai.go.jp/. Accessed June 2009

  8. PEER (2005) Pacific earthquake engineering research center. (http://peer.berkeley.edu)

  9. Elnashai A, Bommer JJ, Martinez-Pereira A (1998) Engineering implications of strong-motion records from recent earthquakes. In: Proceedings of 11th european conference on earthquake engineering, Paris, CD-ROM

    Google Scholar 

  10. Amadio C, Fragiacomo M, Rajgelj S (2003) The effects of repeated earthquake ground motions on the non-linear response of SDOF systems. Earthq Eng Struct Dyn 32:291–308

    Article  Google Scholar 

  11. Fragiacomo M, Amadio C, Macorini L (2004) Seismic response of steel frames under repeated earthquake ground motions. Eng Struct 26(2021):2035

    Google Scholar 

  12. Das S, Gupta VK, Srimahavishnu V (2007) Damage-based design with no repair for multiple events and its sensitivity to seismicity model. Earthq Eng Struct Dyn 36:307–325

    Google Scholar 

  13. Hatzigeorgiou GD, Beskos DE (2009) Inelastic displacement ratios for SDOF structures subjected to repeated earthquakes. Eng Struct 31(11):2744–2755

    Article  Google Scholar 

  14. Hatzigeorgiou GD (2010) Ductility demand spectra for multiple near- and far-fault earthquakes. Soil Dyn Earthq Eng 30(4):170–183

    Article  Google Scholar 

  15. Hatzigeorgiou GD, Liolios AA (2010) Nonlinear behaviour of RC frames under repeated strong ground motions. Soil Dyn Earthq Eng 30:1010–1025

    Article  Google Scholar 

  16. Hatzigeorgiou GD (2010) Damping modification factors for SDOF systems subjected to near-fault, far-fault and artificial earthquakes. Earthq Eng Struct Dyn 39(11):1239–1258

    Article  Google Scholar 

  17. Moustafa A, Takewaki I (2012) Earthquake ground motion of multiple sequences and associated structural response. Earthq Struct 3(3) (in press)

    Google Scholar 

  18. Dunbar WS, Charlwood RG (1991) Empirical methods for the prediction of response spectra. Earthq Spectra 7(3):333–353

    Article  Google Scholar 

  19. Shcherbakov R, Turcotte DL, Rundle JB (2005) Aftershock statistics. Pure Appl Geophys 162:1051–1076

    Article  Google Scholar 

  20. Yeo GL, Cornell CA (2009) Post-earthquake decision analysis using dynamic programming. Earthq Eng Struct Dyn 38:79–93

    Article  Google Scholar 

  21. Yeo GL, Cornell CA (2009) A probabilistic framework for quantification of aftershock ground-motion hazard in California: methodology and parametric study. Earthq Eng Struct Dyn 38:45–60

    Article  Google Scholar 

  22. Lin YK, Yong Y (1987) Evolutionary Kanai-Tajimi earthquake models. J Eng Mech 113(8):1119–1137

    Article  Google Scholar 

  23. Shinozuka M, Deodatis G (1988) Stochastic process models for earthquake ground motion. J Prob Eng Mech 3:114–123

    Article  Google Scholar 

  24. Spanos PD (1987) Recursive simulation of stationary multivariate random processes—part II. J. Appl Mech ASME 54:681–687

    Article  MathSciNet  MATH  Google Scholar 

  25. Conte JP, Peng BF (1997) Fully nonstationary analytical earthquake ground-motion model. J Eng Mech 123(1):15–24

    Article  Google Scholar 

  26. Der Kiureghian A, Crempien J (1989) An evolutionary model for earthquake ground motion. Struct Saf 6:235–246

    Article  Google Scholar 

  27. Shinozuka M, Deodatis G (1991) Simulation of stochastic processes by spectral reprezentation. App Mech Rev 44(4):191–204

    Article  MathSciNet  Google Scholar 

  28. Shinozuka M, Deodatis G (1996) Simulation of multi-dimensional Gaussian stochastic fields by spectral representation. App Mech Rev 49(1):29–53

    Article  Google Scholar 

  29. Takewaki I (2007) Critical excitation methods in earthquake engineering. Elsevier, Amsterdam, pp 1–22

    Book  Google Scholar 

  30. Kanai K (1957) Semiempirical formula for the seismic characteristics of the ground. Bulletin of Earthquake Research Institute, University of Tokyo 35:309–325

    Google Scholar 

  31. Tajimi H (1960) A statistical method of determining the maximum response of a building structure during earthquakes. In: Proceedings second WCEE, Tokyo, 2:781–797

    Google Scholar 

  32. Boore DM (1983) Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra. Bull Seism So Amer 73:1865–1894

    Google Scholar 

  33. Brune JN (1970) Tectonic stress and the spectra of seismic shear waves from earthquakes. J Geoph Res 75:4997–5009

    Article  Google Scholar 

  34. Quek ST, Teo YP, Balendra T (1990) Non-stationary structural response with evolutionary spectra using seismological input model. Earthq Eng Struct Dyn 19:275–288

    Article  Google Scholar 

  35. Roberts JB, Spanos PD (1990) Random vibration and statistical linearization. Wiley, Chichester

    MATH  Google Scholar 

  36. Akiyama H (1985) Earthquake-resistant limit-state design for buildings. University of Tokyo Press, Tokyo

    Google Scholar 

  37. Zahrah TF, Hall WJ (1984) Earthquake energy absorption in sdof structures. J Struct Eng 110:1757–1772

    Article  Google Scholar 

  38. Uang CM, Bereto VV (1990) Evaluation of seismic energy in structures. Earthq Eng Struct Dyn 19:77–90

    Article  Google Scholar 

  39. Park YJ, Ang AH-S (1985) Mechanistic seismic damage model for reinforced concrete. J Struct Eng 111(4):722–739

    Article  Google Scholar 

  40. Abbas AM, Manohar CS (2005) Reliability-based critical earthquake load models. Part 1: linear structures. J Sound Vib 287:865–882

    Article  Google Scholar 

  41. Moustafa A, Takewaki I (2011) Response of nonlinear single-degree-of-freedom structures to random acceleration sequences. Eng Struct 33:1251–1258

    Article  Google Scholar 

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Takewaki, I., Moustafa, A., Fujita, K. (2013). Response of Nonlinear SDOF Structures to Random Acceleration Sequences. In: Improving the Earthquake Resilience of Buildings. Springer Series in Reliability Engineering. Springer, London. https://doi.org/10.1007/978-1-4471-4144-0_7

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  • DOI: https://doi.org/10.1007/978-1-4471-4144-0_7

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  • Print ISBN: 978-1-4471-4143-3

  • Online ISBN: 978-1-4471-4144-0

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