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Inelastic displacement ratios for evaluation of stiffness degrading structures with soil structure interaction built on soft soil sites

  • Received : 2012.05.25
  • Accepted : 2013.02.19
  • Published : 2013.03.25

Abstract

In this study, inelastic displacement ratios are investigated for existing systems with known lateral strength considering soil structure interaction. For this purpose, SDOF systems for period range of 0.1-3.0 s with different hysteretic behaviors are considered for a number of 18 earthquake motions recorded on soft soil. The effect of stiffness degradation on inelastic displacement ratios is investigated. The Modified Clough model is used to represent structures that exhibit significant stiffness degradation when subjected to reverse cyclic loading and the elastoplastic model is used to represent non-degrading structures. Soil structure interaction analyses are conducted by means of equivalent fixed base model 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. A new equation is proposed for inelastic displacement ratio of system with SSI with elastoplastic or degrading behavior as a function of structural period ($\tilde{T}$), strength reduction factor (R) and period lengthening ratio ($\tilde{T}$/T). The proposed equation for $\tilde{C}_R$ which takes the soil-structure interaction into account should be useful in estimating the inelastic deformation of existing structures with known lateral strength.

Keywords

References

  1. Agraval, R. and Hora, M.S. (2012), "Nonlinear interaction behavior of plane frame-layered soil system subjected to seismic loading", Structural Engineering and Mechanics, 41(6), 711-734. https://doi.org/10.12989/sem.2012.41.6.711
  2. Applied Technology Council (ATC) (1984), "Tentative provisions for the development of seismic regulations for buildings", Rep. ATC-3-06, Applied Technology Council, California.
  3. Applied Technology Council (ATC) (1996), "Seismic Evaluation and Retrofit of Concrete Buildings", ATC- 40, Applied Technology Council, California.
  4. Aviles, J. and Perez-Rocha, L.E. (2003), "Soil structure interaction in yielding systems", Earthquake Engineering and Structural Dynamics, 32, 1749-1771. https://doi.org/10.1002/eqe.300
  5. Aviles, J. and Perez-Rocha, L.E. (2005), "Influence of foundation flexibility on $R{\mu}$ and $C{\mu}$ factors", Journal of Structural Engineering, ASCE, 131(2), 221-230. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:2(221)
  6. Aviles, J, Perez-Rocha, LE., (2011), "Use of global ductility for design of structure-foundation systems", Soil Dyn. Earthquake Eng, 31, 1018-1026. https://doi.org/10.1016/j.soildyn.2011.03.008
  7. Ayoub, A. and Chenouda, M. (2009), "Response spectra of degrading structural systems", Engineering Structures, 31, 1393-1402. https://doi.org/10.1016/j.engstruct.2009.02.006
  8. Bates, D.M. and Watts, D.G. (1988), Nonlinear Regression Analysis and Its Applications, Wiley, New York.
  9. Borzi, B., Calvi, G.M., Elnashai, A.S., Faccioli, E. and Bommer, J.J. (2001), "Inelastic spectra for displacement-based seismic design", Soil Dyn. Earthquake Eng., 21(1), 47-61. https://doi.org/10.1016/S0267-7261(00)00075-0
  10. Chenouda, M. and Ayoub, A. (2008), "Inelastic displacement ratios of degrading systems", Journal of Structural Engineering, ASCE, 134(6), 1030-1045. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:6(1030)
  11. Chopra, A.K. and Chintanapakdee, C. (2004), "Inelastic deformation ratios for design and evaluation of structures: Single-degree-of-freedom bilinear systems", J. Struct. Eng., ASCE, 130(9), 1309-1319. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:9(1309)
  12. Clough, R.W. and Johnston, S.B. (1966), "Effect of stiffness degradation on earthquake ductility requirements", Proc of the Japan Earthquake Engineering Symposium, Tokyo, Japan.
  13. Decanini, L., Liberatore, L. and Mollaioli, F. (2003), "Characterization of displacement demand for elastic and inelastic SDOF systems", Soil Dyn. Earthq. Eng., 23, 455-471. https://doi.org/10.1016/S0267-7261(03)00062-9
  14. Erberik, M.A., Sucuoglu, H. and Acun, B. (2012), "Inelastic displacements of RC systems with cyclic deterioration - an energy approach", Journal of Earthquake Engineering, 16(7), 937-962. https://doi.org/10.1080/13632469.2012.685210
  15. Eser, M. and Aydemir, C. (2011), "The effect of soil-structure interaction on inelastic displacement ratio of structures", Structural Engineering and Mechanics, 39(5), 683-701. https://doi.org/10.12989/sem.2011.39.5.683
  16. Eser, M., Aydemir, C. and Ekiz, I. (2012), "Inelastic displacement ratios for structures with foundation flexibility", KSCE Journal of Civil Engineering, 16(1), DOI: 10.1007/s12205-012-1266-5.
  17. Federal Emergency Management Agency (1997), "NEHRP Guidelines for the Seismic Rehabilitation of Buildings", Rep. FEMA-273 (Guidelines) and Rep. FEMA-274 (Commentary), Washington (DC).
  18. Federal Emergency Management Agency (2000), "Prestandard and commentary for the Seismic Rehabilitation of Buildings", Rep. FEMA-356, Washington (DC).
  19. Federal Emergency Management Agency (2003), "Recommended Provisions for Seismic Regulations For New Buildings and Other Structures", Rep. FEMA-450, Federal Emergency Management Agency, Washington (DC).
  20. Federal Emergency Management Agency (FEMA) [2005] "Improvement of Nonlinear Static Seismic Analysis Procedures", Report FEMA 440, Applied Technology Council (ATC-55 Project), Redwood City, California.
  21. Federal Emergency Management Agency (2009), "Effects of Strength and Stiffness Degradation on Seismic Response", FEMA P440A, Federal Emergency Management Agency, Washington (DC).
  22. Ghannad, M.A. and Ahmadnia, A. (2002), "The effect of soil structure interaction on ductility demand of structure", 12th European Conference on Earthquake Engineering, London.
  23. Gupta, A. and Krawinkler, H. (1998), "Effect of stiffness degradation on deformation demands for SDOF and MDOF structures", Proceedings of the 6th Natl. Conf. on Earthquake Engineering, Earthquake Engineering Research Institute, Oakland, California.
  24. Gupta, B. and Kunnath, S.K. (1998), "Effect of hysteretic model parameters on inelastic seismic demands", Proceedings of the 6th Natl. Conf. on Earthquake Engineering, Earthquake Engineering Research Institute, Oakland, California.
  25. Hatzigeorgiou, G.D. and Beskos, D.E. (2009), "Inelastic displacement ratios for SDOF structures subjected to repeated earthquakes", Engineering Structures, 31(11), 2744-2755. https://doi.org/10.1016/j.engstruct.2009.07.002
  26. Miranda, E. (2000), "Inelastic displacement ratios for structures on firm sites", J. Struct. Eng., ASCE, 126(10), 1150-1159. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:10(1150)
  27. Miranda, E. and Ruiz-Garcia, J. (2002), "Influence of stiffness degradation on strength demands of structures built on soft soil sites", Engineering Structures, 24 (10), 1271-1281. https://doi.org/10.1016/S0141-0296(02)00052-4
  28. Muller, F.P. and Keintzel, E. (1982), "Ductility requirements for flexibly supported antiseismic structures", Proceedings of the Seventh European Conference on Earthquake Engineering, 3, 27-34.
  29. Rahnama, M. and Krawinkler, H. (1993), "Effects of soft soil and hysteresis model on seismic demands", Rep. No. 108, John A. Blume Earthquake Engineering Center, Stanford Univ., Stanford, CA.
  30. Raychowdhury, P. (2011), "Seismic response of low-rise steel moment-resisting frame (SMRF) buildings incorporating nonlinear soil-structure interaction (SSI)", Engineering Structures, 33, 958-967. https://doi.org/10.1016/j.engstruct.2010.12.017
  31. Roy, R. and Dutta, S.C. (2010), "Inelastic seismic demand of low-rise buildings with soil-flexibility", International Journal of Non-Linear Mechanics, 45, 419-432. https://doi.org/10.1016/j.ijnonlinmec.2009.12.014
  32. Ruiz-Garcia, J. and Miranda, E. (2004), "Inelastic displacement ratios for design of structures on soft soils sites", J. Struct. Eng., ASCE, 130(12), 2051-2061. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:12(2051)
  33. Ruiz-Garcia, J. and Miranda, E. (2006), "Inelastic displacement ratios for evaluation of structures built on soft soils sites", Earthq. Eng. Struct. Dyn., 35, 679-694. https://doi.org/10.1002/eqe.552
  34. Smith-Pardo, J.P. (2011), "Performance-based framework for soil-structure systems using simplified rocking foundation model", Structural Engineering and Mechanics, 40(6), 763-782. https://doi.org/10.12989/sem.2011.40.6.763
  35. StatSoft Inc. (1995), STATISTICA V.6.0 for Windows. Tulsa, OK, USA.
  36. Takeda, T., Sozen, M.A. and Nielsen, N.M. (1970), "Reinforced concrete response to simulated earthquakes", Journal of the Structural Division, ASCE, 96(12), 2257-2573.
  37. Veletsos, A.S. and Newmark, N.M. (1960), "Effect of inelastic behavior on the response of simple systems to earthquake motions", Proceedings of the 2nd World Conference on Earthquake Engineering, 2, 895- 912
  38. 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", Proceedings of the Third World Conference on Earthquake Engineering, 7, 663-682.
  39. Veletsos, A.S. and Meek, J.W. (1974), "Dynamic behavior of building-foundation systems", Earthq. Eng. Struct. Dyn., 3, 121-138. https://doi.org/10.1002/eqe.4290030203
  40. Veletsos, A.S. and Nair, V.V.D. (1975), "Seismic interaction of structures on hysteretic foundations", J. Struct. Eng., ASCE, 101(1), 109-129.
  41. Veletsos, A.S. (1977), Dynamics of structure-foundation systems, Structural Geotechnical Mechanics, Ed. Hall, W.J., Prentice-Hall, Englewood Cliffs, NJ.
  42. Wolf, J.P. and Somaini, D.R. (1986), "Approximate dynamic model of embedded foundation in time domain", Earthq. Eng. Struct. Dyn, 14, 683-703. https://doi.org/10.1002/eqe.4290140502
  43. Wolf, J.P. (1994), "Foundation vibration analysis using simple physical models", Prentice-Hall, Englewood Cliffs, NJ.
  44. Wolf, J.P. (1997), "Spring-dashpot-mass models for foundation vibrations", Earthquake Engineering and Structural Dynamics, 26, 931-949. https://doi.org/10.1002/(SICI)1096-9845(199709)26:9<931::AID-EQE686>3.0.CO;2-M

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