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Probabilistic seismic assessment of structures considering soil uncertainties

  • Hamidpour, Sara (Faculty of Civil and Environmental Engineering, Tarbiat Modares University) ;
  • Soltani, Masoud (Faculty of Civil and Environmental Engineering, Tarbiat Modares University) ;
  • Shabdin, Mojtaba (Faculty of Civil and Environmental Engineering, Tarbiat Modares University)
  • 투고 : 2015.12.25
  • 심사 : 2016.12.01
  • 발행 : 2017.02.25

초록

This paper studies soil properties uncertainty and its implementation in the seismic response evaluation of structures. For this, response sensitivity of two 4- and 12-story RC shear walls to the soil properties uncertainty by considering soil structure interaction (SSI) effects is investigated. Beam on Nonlinear Winkler Foundation (BNWF) model is used for shallow foundation modeling and the uncertainty of soil properties is expanded to the foundation stiffness and strength parameters variability. Monte Carlo (MC) simulation technique is employed for probabilistic evaluations. By investigating the probabilistic evaluation results it's observed that as the soil and foundation become stiffer, the soil uncertainty is found to be less important in influencing the response variability. On the other hand, the soil uncertainty becomes more important as the foundation-structure system is expected to experience nonlinear behavior to more sever degree. Since full This paper studies soil properties uncertainty and its implementation in the seismic response evaluation of structures. For this, response sensitivity of two 4- and 12-story RC shear walls to the soil properties uncertainty by considering soil structure interaction (SSI) effects is investigated. Beam on Nonlinear Winkler Foundation (BNWF) model is used for shallow foundation modeling and the uncertainty of soil properties is expanded to the foundation stiffness and strength parameters variability. Monte Carlo (MC) simulation technique is employed for probabilistic evaluations. By investigating the probabilistic evaluation results it's observed that as the soil and foundation become stiffer, the soil uncertainty is found to be less important in influencing the response variability. On the other hand, the soil uncertainty becomes more important as the foundation-structure system is expected to experience nonlinear behavior to more sever degree. Since full probabilistic analysis methods like MC commonly are very time consuming, the feasibility of simple approximate methods' application including First Order Second Moment (FOSM) method and ASCE41 proposed approach for the soil uncertainty considerations is investigated. By comparing the results of the approximate methods with the results obtained from MC, it's observed that the results of both FOSM and ASCE41 methods are in good agreement with the results of MC simulation technique and they show acceptable accuracy in predicting the response variability.

키워드

참고문헌

  1. ASCE-7 (2010), "Minimum design loads for buildings and other structures", American Society of Civil Engineers, Reston, Virginia.
  2. ASCE-41 (2013), "Seismic rehabilitation of existing buildings", American Society of Civil Engineers, Reston, Virginia.
  3. Assimaki, D., Pecker, A., Popescu, R. and Prevost, J. (2003), "Effects of spatial variability of soil properties on surface ground motion", J. Earthq. Eng., 7(S1), 1-44.
  4. ATC-40 (1996), "Seismic evaluation and retrofit of concrete buildings", Applied Technology Council, Redwood City, California.
  5. Ayoub, A. and Filippou, F.C. (1998), "Nonlinear finite-element analysis of RC shear panels and walls", J. Struct. Eng., 124(3), 298-308. https://doi.org/10.1061/(ASCE)0733-9445(1998)124:3(298)
  6. Bazzurro, P. and Cornell, C.A. (2004), "Ground-motion amplification in nonlinear soil sites with uncertain properties", Bull. Seismol. Soc. Am., 94(6), 2090-2109. https://doi.org/10.1785/0120030215
  7. Briely, A., Lehman, D., Lowes, L., Kuchma, D., Hart, C. and Marley, K. (2008), "Investigation of the seismic behavior and analysis of reinforced concrete structural walls", Proceeding of 14th World Conference on Earthquake Engineering, China.
  8. Cornell, C.A., Jalayer, F. and Hamburger, R. (2002), "Probabilistic basis for 2000 SAC federal emergency management agency steel moment frame guidelines", J. Struct. Eng., 128(4), 525-533.
  9. Darendeli, M.B. (2001), "Development of new family of normalized modulus reduction and material damping", Ph.D. thesis, Faculty of Graduate School of The University of Texas at Austin, Texas.
  10. Farah, Kh., Ltifi, M., Abichou, T. and Hassis, H. (2013), "Comparison of some probabilistic methods for analyzing slope stability problem", Int. J. Civ. Eng., 12(3), 264-268.
  11. Foye, K.C., Salgado, R. and Scott, B. (2006), "Assessment of variable uncertainties for reliability based design of foundations", J. Geotech. Geoenviron. Eng., 132(9), 1197-1207. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:9(1197)
  12. Gajan, S., Hutchinson, T.C., Kutter, B.L., Raychowdhury, P., Uglade, J.A. and Stewart, J.P. (2008), "Numerical models for analysis and performance-based design of shallow foundations subjected to seismic loading", PEER Report 2007/04, University of California, Berkeley.
  13. Gazetas, G. (1991), "Formulas and charts for impedances of surface and embedded foundations", J. Geotech. Eng., 117(9), 1368-1381.
  14. Gazetas, G. and Mylonakis, G. (1998), "Seismic soil-structure interaction: new evidence and emerging issues", Proceeding of the Geotechnical Earthquake Engineering and Soil Dynamics III, Vol. 2. Seattle, Washington, United States.
  15. Hamidpour, S. and Soltani, M. (2016), "Probabilistic assessment of ground motions intensity considering soil properties uncertainty", J. Soil Dyn. Earthq. Eng., 90, 158-168. https://doi.org/10.1016/j.soildyn.2016.06.010
  16. Harden, C.W., Hutchinson, T., Martin, G.R. and Kutter, B.L. (2005), "Numerical modeling of the nonlinear cyclic response of shallow foundations", PEER Report 2005/04, University of California, Berkeley.
  17. Jalayer, F., Iervolino, I. and Manfredi, G. (2010), "Structural modeling uncertainties and their influence on seismic assessment of existing structures", J. Struct. Saf., 32(3), 220-228. https://doi.org/10.1016/j.strusafe.2010.02.004
  18. Jin, S., Lutes, L.D. and Sarkani, S. (2000), "Response variability for a structure with soil-structure interactions and uncertain soil properties", J. Probabilist. Eng. Mech., 15(2), 175-183. https://doi.org/10.1016/S0266-8920(99)00017-X
  19. Jones, A.L., Kramer, S.L. and Arduino, P. (2002), "Estimation of uncertainty in geotechnical properties for performance-based earthquake engineering", PEER Report 2002/16, University of California, Berkeley.
  20. Kwon, O.S. and Elnashai, A. (2006), "The effect of material and ground motion uncertainty on the seismic vulnerability curves of RC structure", J. Eng. Struct., 28(2), 289-303. https://doi.org/10.1016/j.engstruct.2005.07.010
  21. Lagaros, N.D. and Mitropoulou, Ch.Ch. (2013), "The effect of uncertainties in seismic loss estimation of steel and reinforced concrete composite buildings", J. Struct. Infrastruct. Eng., 9(6), 546-566. https://doi.org/10.1080/15732479.2011.593527
  22. Liel, A.B., Haselton, C.B., Deierlein, G.G. and Baker, J.W. (2008), "Incorporating modeling uncertainties in the assessment of seismic collapse risk of building", J. Struct. Saf., 31(2), 197-211.
  23. Maekawa, K. and Ishida, T. (2010), "DUCOM-COM3 User Manual and Guide", Concrete Laboratory Department of Civil Engineering, The University of Tokyo, Tokyo, Japan.
  24. Mazzoni, S., McKenna, F., Scott, M.H. and Fenves, G.L. (2006), "OpenSees Command Manual", University of California, Berkeley, USA.
  25. Moghaddasi, M., Chase, J.G., Cubrinonvski, M., Pampanin, S. and Carr, A. (2012), "Sensitivity analysis for soil-structure interaction phenomenon using stochastic approach", J. Earthq. Eng., 16(7), 1055-1075. https://doi.org/10.1080/13632469.2012.677570
  26. Moghaddasi, M., Cubrinonvski, M., Chase, J.G., Pampanin, S. and Carr, A. (2012), "Stochastic quantification of soil-shallow foundation-structure interaction", J. Earthq. Eng., 16(6), 820-850. https://doi.org/10.1080/13632469.2012.661122
  27. Orakcal, K., Wallace, J.W. and Conte, J.P. (2004), "Flexural modeling of reinforced concrete walls-model attributes", ACI Struct. Eng. J., 101(5), 688-698.
  28. Priestley, M.J.N., Calvi, G.M. and Kowalsky, M.J. (2007), Displacement-based Seismic Design of Structures, IUSS Press, Pavia, Italy.
  29. Ray Chaudhuri, S. and Gupta, V.K. (2002), "Variability in seismic response of secondary systems due to uncertain soil properties", J. Eng. Struct., 24(12), 1601-1613. https://doi.org/10.1016/S0141-0296(02)00103-7
  30. Raychowdhury, P. (2009), "Effect of soil parameters uncertainty on seismic demand of low-rise steel buildings on dense silty sand", J. Soil Dyn. Earthq. Eng., 29(10), 1367-1378. https://doi.org/10.1016/j.soildyn.2009.03.004
  31. Raychowdhury, P. and Hutchinson, T.C. (2010), "Sensitivity of shallow foundation response to model input parameters", J. Geotech. Geoenviron. Eng., 136(3), 538-541. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000227
  32. Raychowdhury, P. and Jindal, S. (2014), "Shallow foundation response variability due to soil and model parameter uncertainty", Front. Struct. Civ. Eng., 8(3), 237-251. https://doi.org/10.1007/s11709-014-0242-1
  33. Rieck, P.J. and Houston, T.W. (2001), "Seismic response of statistically varied soil column profiles for SSI analysis", Transactions, SMiRT 16, Washington DC.
  34. Shome, N. and Cornel, C.A. (1999), "Probabilistic seismic demand analysis of nonlinear structures", Reliability of Marine Structures Report No. RMS-35, Department of Civil and Environmental Engineering, University of California, Stanford.
  35. Tang, Y. and Zhang, J. (2011), "Probabilistic seismic demand analysis of a slender RC shear wall considering soil-structure interaction effects", J. Eng. Struct., 33(1), 218-229. https://doi.org/10.1016/j.engstruct.2010.10.011
  36. Thomsen, J.H. and Wallace, J.W. (2004), "Displacement-based design of slender reinforced concrete structural wallsexperimental verification", J. Struct. Eng., 130(4), 618-630. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:4(618)
  37. Wolf, J.P. (1985), "Dynamic soil-structure interaction", Prentice-Hall international series in civil engineering and engineering mechanics, Englewood Cliffs, New Jersey.

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