Geomechanics and Engineering

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Seismic response analysis of layered soils considering effect of surcharge mass using HFTD approach. Part Ι: basic formulation and linear HFTD

  • Saffarian, Mohammad A. (Department of Civil Engineering, Shahid Bahonar University of Kerman) ;
  • Bagheripour, Mohammad H. (Department of Civil Engineering, Shahid Bahonar University of Kerman)
  • Received : 2013.06.19
  • Accepted : 2014.01.11
  • Published : 2014.06.25
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Abstract

Seismic ground response analysis is one of the most important issues in geotechnical earthquake engineering. Conventional seismic site response and free field analysis of layered soils does not consider the effect of surcharge mass which may be present on the top layer. Surcharge mass may develop extra inertial force to the soil and, hence, significantly affect on the results of seismic ground response analysis. Methods of analysis of ground response may also be categorized into time domain and frequency domain concepts. Simplicity in developing analytical relations and accuracy in considering soil dynamic properties dependency to loading frequency are benefits of frequency domain analysis. In this part of the paper, seismic ground response is analyzed using transfer function method for soil layers considering surcharge mass on the top layer. Equation of motion, wave equation, is solved using amended boundary conditions which effectively take the impact of surcharge mass into account. A computer program is developed by MATLAB software based on the solution method developed for wave equation. Layered soils subjected to earthquake loading were numerically studied and solved especially by the computer program developed in this research. Results obtained were compared with those given by DEEP SOIL computer program. Such comparison showed the accuracy of the program developed in this study. Also in this part, the effects of geometrical and mechanical properties of soil layers and especially the impact of surcharge mass on transfer function are investigated using the current approach and the program developed. The efficiency and accuracy of the method developed here is shown through some worked examples and through comparison of the results obtained here with those given by other approaches. Discussions on the results obtained are presented throughout in this part.

Keywords

References

  1. Asgari, A. (2009), "Nonlinear seismic response analysis of soil layers using Hybrid Frequency-Time Domain (HFTD) method", M.Sc. Dissertation, Shahid Bahonar University of Kerman, Kerman, Iran.
  2. Assimaki, D. and Kausel, E. (2002), "An equivalent linear algorithm with frequency and pressure-dependent moduli and damping for the seismic analysis of deep sites", Soil Dyn. Earthq. Eng., 22(9-12), 959-965. https://doi.org/10.1016/S0267-7261(02)00120-3
  3. Borja, R.I., Cho, H.Y., Montans, F.J. and Lin, C.H. (1999), "Nonlinear ground response at Lotung LSST site", Geotech. Geoenviron. Eng., 125(3), 187-197. https://doi.org/10.1061/(ASCE)1090-0241(1999)125:3(187)
  4. Choudhury, D. and Savoikar, P. (2009), "Equivalent-linear seismic analyses of MSW landfills using DEEPSOIL", Eng. Geol., 107(3-4), 98-108. https://doi.org/10.1016/j.enggeo.2009.05.004
  5. Darber, G.R. and Wolf, J.P. (1988), "Criterion of stability and implementation issues of hybrid frequency-time domain procedure for non-linear dynamic analysis", Earthq. Eng. Struct. Dyn., 16(4), 569-581. https://doi.org/10.1002/eqe.4290160408
  6. Desai, C. and Christian, J.T. (1997), Numerical Methods in Geotechnical Engineering, McGraw-Hill Book Company, New York, USA.
  7. Hashash, Y.M.A. and Park, D. (2002), "Viscous damping formulation and high frequency motion propagation in non-linear site response analysis", Soil Dyn. Earthq. Eng., 22(7), 611-624. https://doi.org/10.1016/S0267-7261(02)00042-8
  8. Hashash, Y.M.A., Groholski, D.R., Philips, C.A. and Park, D. (2008), DEEPSOIL v.3.5beta, User Manual and Tutorial, University of Illinois, Champaign, IL, USA.
  9. Jayaram, N., Baker, J.W., Okano, H., Ishida, H., McCann, M.W. and Mihara, Y. (2011), "Correlation of response spectral values in Japanese ground motions", Earthqu. Struct., Int. J., 2(4), 357-376. https://doi.org/10.12989/eas.2011.2.4.357
  10. Kramer, S.L. (1996), Geotechnical Earthquake Engineering, Prentice-Hall Internationals Series in Civil Engineering and Engineering Mechanics, New Jersey, USA.
  11. Nakamura, N. (2013), "Response analysis of soil deposit considering both frequency and strain amplitude dependencies using nonlinear causal hysteretic damping model", Earthqu. Struct., Int. J., 4(2), 181-202. https://doi.org/10.12989/eas.2013.4.2.181
  12. Presti, L., Diego, C.F., Lai, C.G. and Puci, I. (2006), "ONDA: Computer code for nonlinear seismic response analysis of soil deposits", Geotech. Geoenviron. Eng., 132(2), 223-236. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:2(223)
  13. Saffarian, M.A. (2013), "Seismic Nonlinear Ground Response Analysis Considering Surcharge Mass by HFTD Method ", M.Sc. Dissertation, Shahid Bahonar University of Kerman, Kerman, Iran.
  14. Schnable, P.B., Lysmer, J. and Seed, H.B. (1972), "SHAKE: A computer program for earthquake response analysis of horizontally layered sites", Report No. EERC72-12, University of California, Berkeley, CA, USA.
  15. Stewart, J.P. and Kwok, A.O. (2008), "Nonlinear seismic ground response analysis: code usage protocols and verification against vertical array data", Geotech. Eng. Soil Dyn. IV, May 18-22, 2008, Sacramento, CA, USA, ASCE Geotechnical Special Publication No. 181, (D. Zeng, M.T. Manzari, and D.R. Hiltunen Eds.), 24 pages.
  16. Verruijt, A. (1996), Soil Dynamics, http:// www.download.acca.it/
  17. Wolf, J.P. (1986), "Nonlinear soil-structure-interaction analysis based on hybrid frequency time domain formulation", Proceedings of the 8th European Conference on Earthquake Engineering, Lisbon, Spain, September.
  18. Wood, R.L. and Hutchinson, T.C. (2012), "Effects of ground motion scaling on nonlinear higher mode building ground response", Earthqu. Struct., Int. J., 3(6), 869-887. https://doi.org/10.12989/eas.2012.3.6.869
  19. Yoshida, N., Kobayashi, S., Suetomi, I. and Miura, K. (2002), "Equivalent linear method considering frequency dependent characteristics of stiffness and damping", Soil Dyn. Earthq. Eng., 22(3), 205-222. https://doi.org/10.1016/S0267-7261(02)00011-8

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