Advertisement

Scaling of residual displacements in terms of elastic and inelastic spectral displacements for existing SDOF systems

  • M. G. Harikrishnan
  • Vinay K. GuptaEmail author
Article
  • 9 Downloads

Abstract

Structures undergoing inelastic displacements during earthquake ground motions are known to sustain some amount of residual displacements, which may make them unusable or unsafe. In this study an attempt is made to estimate residual displacements for elastic-perfectly-plastic single-degree-of-freedom oscillators with a given lateral strength ratio. It is observed in the case of a class of ground motions that there are no trends in the dependence of residual displacement on the temporal features of the ground motion, and thus any estimation of residual displacements should be carried out only in the statistical sense. Statistical estimation of residual displacement spectrum via normalization with respect to inelastic or elastic spectral displacements is considered, and it is found that normalization with respect to inelastic spectral displacements is preferable. Expressions for residual displacement spectra are proposed for both types of normalizations and for the given-lateral-strength-ratio type oscillators.

Keywords

residual displacement spectrum lateral strength ratio elastic-perfectly-plastic oscillator inelastic displacement spectrum elastic displacement spectrum horizontal ground motions 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Basu B and Gupta VK (1998), “Seismic Response of SDOF Systems by Wavelet Modelling of Nonstationary Process,” Journal of Engineering Mechanics, ASCE, 124(10): 1142–1150.CrossRefGoogle Scholar
  2. Borzi B, Calvi GM, Elnashai AS, Faccioli E and Bommer JJ (2001), “Inelastic Spectra for Displacement-Based Seismic Design,” Soil Dynamics and Earthquake Engineering, 21(1): 47–61.CrossRefGoogle Scholar
  3. Christopoulos C, Pampanin S and Priestley MJN (2003), “Performance-Based Seismic Response of Frame Structures Including Residual Deformations— Part I: Single-Degree-of-Freedom Systems,” Journal of Earthquake Engineering, 7(1): 97–118.Google Scholar
  4. Das S and Gupta VK (2011), “A Wavelet-Based Parametric Characterization of Temporal Features of Earthquake Accelerograms,” Engineering Structures, 33(7): 2173–2185.CrossRefGoogle Scholar
  5. Harikrishnan MG (2009), “Estimation of Residual Displacement for Horizontal Ground Motions,” MTech Thesis, Department of Civil Engineering, IIT Kanpur, Kanpur, India.Google Scholar
  6. Kawashima K, MacRae GA, Hoshikuma J and Nagaya K (1998), “Residual Displacement Response Spectrum,” Journal of Structural Engineering, ASCE, 124(5): 523–530.CrossRefGoogle Scholar
  7. Kumari R and Gupta VK (2007), “A Modal Combination Rule for Peak Floor Accelerations in Multistoried Buildings,” ISET Journal of Earthquake Technology, 44(1): 213–231.Google Scholar
  8. Lee VW and Trifunac MD (1987), “Strong Earthquake Ground Motion Data in EQUINFOS: Part 1,” Report CE 87-01, Department of Civil Engineering, University of Southern California, Los Angeles.Google Scholar
  9. Liossatou E and Fardis MN (2015), “Residual Displacements of RC Structures as SDOF Systems,” Earthquake Engineering & Structural Dynamics, 44(5): 713–734.CrossRefGoogle Scholar
  10. Liossatou E and Fardis MN (2016), “Near-Fault Effects on Residual Displacements of RC Structures,” Earthquake Engineering & Structural Dynamics, 45(9): 1391–1409.CrossRefGoogle Scholar
  11. MacRae GA and Kawashima K (1997), “Post-Earthquake Residual Displacements of Bilinear Oscillators,” Earthquake Engineering & Structural Dynamics, 26(7): 701–716.CrossRefGoogle Scholar
  12. Mahin SA and Bertero VV (1981), “An Evaluation of Inelastic Seismic Design Spectra,” Journal of the Structural Division, ASCE Proceedings, 107(ST9): 1777–1795.Google Scholar
  13. Mukherjee S and Gupta VK (2002), “Wavelet-Based Generation of Spectrum-Compatible Time-Histories,” Soil Dynamics and Earthquake Engineering, 22(12): 817–822.Google Scholar
  14. Ruiz-Garcia J (2010), “On the Influence of Strong-Ground Motion Duration on Residual Displacement Demands,” Earthquakes and Structures, 1(4): 327–344.CrossRefGoogle Scholar
  15. Ruiz-Garcia J and Miranda E (2006), “Residual Displacement Ratios for Assessment of Existing Structures,” Earthquake Engineering & Structural Dynamics, 35(3): 315–336.CrossRefGoogle Scholar
  16. Samdaria N and Gupta VK (2018), “A New Model for Spectral Velocity Ordinates at Long Periods,” Earthquake Engineering & Structural Dynamics, 47(1): 169–194.CrossRefGoogle Scholar
  17. Silva WP and Silva CMDPS, LAB fit curve fitting software (nonlinear regression and treatment of data program) V 7.2.44 (1999-2009). http://www.labfit.net.Google Scholar
  18. USNRC (1973), “Design Response Spectra for Seismic Design of Nuclear Power Plants,” Regulatory Guide 1.60, United States Nuclear Regulatory Commission, Washington.Google Scholar

Copyright information

© Institute of Engineering Mechanics, China Earthquake Administration 2020

Authors and Affiliations

  1. 1.Department of Civil EngineeringIndian Institute of Technology KanpurKanpurIndia

Personalised recommendations