Skip to main content
SpringerLink
Log in

Inelastic displacement ratios for structures with foundation flexibility

  • Structural Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

Inelastic displacement ratios have been generally investigated for fixed-base systems without taking into consideration soil structure interaction. In this study, inelastic displacement ratios are investigated for SDOF systems with period range of 0.1–3.0 s with elastoplastic behavior considering soil structure interaction for 64 different earthquake motions recorded on different site conditions such as rock, stiff soil, soft soil and very soft soil. Soil structure interacting systems are modeled with effective period, effective damping and effective ductility values differing from fixed-base case. For inelastic time history analyses, Newmark method for step by step time integration was adapted in an in-house computer program. Results are compared with those calculated for fixed-base case. A new equation is proposed for inelastic displacement ratio of interacting system as a function of structural period of interacting system \((\tilde T)\), ductility ratio (μ) and period lengthening ratio \((\tilde T/T)\). The fitness of the regressed function of the inelastic displacement factor is shown in figures. The regressed equation for \(\tilde C_\mu\) should be useful in estimating the inelastic deformation of structure where the global ductility capacity can be estimated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • Applied Technology Council (ATC) (1984). Tentative provisions for the development of seismic regulations for buildings, Rep. ATC-3-06, California.

  • Applied Technology Council (ATC) (1996). Seismic evaluation and retrofit of concrete buildings, ATC-40, California.

  • Applied Technology Council (ATC) (2008). Quantification of building seismic performance factors, ATC-63, California.

  • Aviles, J. and Perez-Rocha, L. E. (2003). “Soil structure interaction in yielding systems.” Earthquake Engineering and Structural Dynamics, Vol. 32, No. 11, pp, 1749–1771.

    Article  Google Scholar 

  • Aviles, J. and Perez-Rocha, L. E. (2005). “Influence of foundation flexibility on R µ and C µ factors.” Journal of Structural Engineering, ASCE, Vol. 131, No. 2, pp. 221–230.

    Article  Google Scholar 

  • Bates, D. M. and Watts, D. G. (1988). Nonlinear regression analysis and its applications, John Wiley & Sons, Inc., New York.

    Book  MATH  Google Scholar 

  • Boore, D. M. (1993). “Some notes concerning the determination of shear-wave velocity and attenuation.” Proc. of Geophysical Techniques for Site and Material Characterization, pp. 129–34.

  • Chopra, A. K. and Chintanapakdee, C. (2004). “Inelastic deformation ratios for design and evaluation of structures: Single-degree-of-freedom bilinear systems.” Journal of Structural Engineering, Vol. 130, No. 9, pp. 1309–1319

    Article  Google Scholar 

  • Decanini, L., Liberatore, L., and Mollaioli, F. (2003). “Characterization of displacement demand for elastic and inelastic SDOF systems.” Soil Dynamics and Earthquake Engineering, Vol. 23, No. 6, pp. 455–471.

    Article  Google Scholar 

  • Federal Emergency Management Agency (FEMA) (2003). Recommended provisions for seismic regulations for new buildings and other structures, Rep. FEMA-450, Washington, D.C.

  • Ghannad, M. A. and Ahmadnia, A. (2002). “The effect of soil structure interaction on ductility demand of structure.” 12 th European Conference on Earthquake Engineering, London.

  • Lin, Y. Y. and Miranda, E. (2008). “Kinematic soil-structure interaction effects on maximum inelastic displacement demands of SDOF systems.” Bulletin of Earthquake Engineering, Vol. 6, No. 2, pp. 241–259.

    Article  Google Scholar 

  • Meek, J. W. and Wolf, J. P. (1992). “Cone models for homogeneous soil.” Journal of Geotechnical Engineering, ASCE, Vol. 118, No. 5, pp. 667–685.

    Article  Google Scholar 

  • Ministry of Public Works and Settlement (2007). Turkish seismic design code, Ankara (in Turkish).

  • Miranda, E. (2000). “Inelastic displacement ratios for structures on firm sites.” Journal of Structural Engineering, ASCE, Vol. 126, No. 10, pp. 1150–1159.

    Article  Google Scholar 

  • Muller, F. P. and Keintzel, E. (1982). “Ductility requirements for flexibly supported antiseismic structures.” Proc. of the Seventh European Conference on Earthquake Engineering, Vol. 3, pp. 27–34.

    Google Scholar 

  • Ordaz, M. and Pérez-Rocha, L. E. (1998). “Estimation of strength reduction factors for elastoplastic systems: A new approach.” Earthquake Eng. Struct. Dyn., Vol. 27, No. 9, pp. 889–901.

    Article  Google Scholar 

  • Ruiz-Garcia, J. and Miranda, E. (2003). “Inelastic displacement ratios for evaluation of existing structures.” Earthquake Engineering and Structural Dynamics, Vol. 32, No. 8, pp. 1237–1258.

    Article  Google Scholar 

  • Ruiz-Garcia, J. and Miranda, E. (2004). “Inelastic displacement ratios for design of structures on soft soils sites.” Journal of Structural Engineering, ASCE, Vol. 130, No. 12, pp. 2051–2061.

    Article  Google Scholar 

  • Ruiz-Garcia, J. and Miranda, E. (2006). “Inelastic displacement ratios for evaluation of structures built on soft soils sites.” Earthquake Engineering and Structural Dynamics, Vol. 35, No. 6, pp. 679–694.

    Article  Google Scholar 

  • StatSoft Inc. (1995). STATISTICA V.6.0 for Windows. Tulsa, OK, USA.

  • Veletsos, A. S. (1977). “Dynamics of structure-foundation systems.” Structural geotechnical mechanics, W. J. Hall, Ed., Prentice-Hall, Englewood Cliffs, N.J., pp. 333–361.

    Google Scholar 

  • Veletsos, A. S. and Meek, J. W. (1974). “Dynamic behavior of building-foundation systems.” Earthquake Engineering and Structural Dynamics, Vol. 3, No. 2, pp. 121–138.

    Article  Google Scholar 

  • Veletsos, A. S. and Nair, V. V. D. (1975). “Seismic interaction of structures on hysteretic foundations.” Journal of Structural Engineering, ASCE, Vol. 101, No. 1, pp. 109–129.

    Google Scholar 

  • Veletsos, A. S. and Newmark, N. M. (1960). “Effect of inelastic behavior on the response of simple systems to earthquake motions.” Proc. of the 2nd World Conference on Earthquake Engineering, Vol. 2, pp. 895–912 Japan.

    Google Scholar 

  • Veletsos, A. S., Newmark, N. M., and Chelapati, C. V. (1965). “Deformation spectra for elastic and elastoplastic systems subjected to ground shock and earthquake motions.” Proc. of the Third World Conference on Earthquake Engineering, Vol. 7, pp. 663–682 New Zealand.

    Google Scholar 

  • Wolf, J. P. (1994). Foundation vibration analysis using simple physical models, Prentice-Hall, Englewood Cliffs, N.J.

    Google Scholar 

  • Wolf, J. P. and Somaini, D. R. (1986). “Approximate dynamic model of embedded foundation in time domain.” Earthquake Engineering and Structural Dynamics, Vol. 14, No. 5, pp. 683–703.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Civil Engineering, Yildiz Technical University, Istanbul, Turkey

    Müberra Eser, Cem Aydemir & Ibrahim Ekiz

Authors
  1. Müberra Eser
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Cem Aydemir
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ibrahim Ekiz
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Müberra Eser.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Eser, M., Aydemir, C. & Ekiz, I. Inelastic displacement ratios for structures with foundation flexibility. KSCE J Civ Eng 16, 155–162 (2012). https://doi.org/10.1007/s12205-012-1266-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12205-012-1266-5

Keywords

Search

Navigation