Smart Structures and Systems

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Probabilistic sensitivity of base-isolated buildings to uncertainties

  • Gazi, Hatice (Department of Civil Engineering, Istanbul University - Cerrahpasa, Avcilar Campus) ;
  • Alhan, Cenk (Department of Civil Engineering, Istanbul University - Cerrahpasa, Avcilar Campus)
  • Received : 2018.05.02
  • Accepted : 2018.09.30
  • Published : 2018.10.25
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Abstract

Characteristic parameter values of seismic isolators deviate from their nominal design values due to uncertainties and/or errors in their material properties and element dimensions, etc. Deviations may increase over service life due to environmental effects and service conditions. For accurate evaluation of the seismic safety level, all such effects, which would result in deviations in the structural response, need to be taken into account. In this study, the sensitivity of the probability of failure of the structures equipped with nonlinear base isolation systems to the uncertainties in various isolation system characteristic parameters is investigated in terms of various isolation system and superstructure response parameters in the context of a realistic three-dimensional base-isolated building model via Monte Carlo Simulations. The inherent record-to-record variability nature of the earthquake ground motions is also taken into account by carrying out analyses for a large number of ground motion records which are classified as those with and without forward-directivity effects. Two levels of nominal isolation periods each with three different levels of uncertainty are considered. Comparative plots of cumulative distribution functions and related statistical evaluation presented here portray the potential extent of the deviation of the structural response parameters resulting from the uncertainties and the uncertainty levels considered, which is expected to be useful for practicing engineers in evaluating isolator test results for their projects.

Keywords

Acknowledgement

Supported by : Istanbul University

References

  1. Alhan, C. and Gavin, H.P. (2004), "A parametric study of linear and non-linear passively damped seismic isolation systems for buildings", Eng. Struct., 26(4), 485-497. https://doi.org/10.1016/j.engstruct.2003.11.004
  2. Alhan, C. and Gavin, H.P. (2005), "Reliability of base isolation for the protection of critical equipment from earthquake hazards", Eng. Struct., 27, 1435-1449. https://doi.org/10.1016/j.engstruct.2005.04.007
  3. Alhan, C. and Gazi, H. (2014), "Bringing probabilistic analysis perspective into structural engineering education: use of monte carlo simulations", Int. J. Eng. Educ., 30(5), 280-1294.
  4. Alhan, C. and Hisman, K. (2016), "Seismic isolation performance sensitivity to potential deviations from design values", Smart Struct. Syst., 18(2), 293-315. https://doi.org/10.12989/sss.2016.18.2.293
  5. Alhan, C., Gazi, H. and Kurtulus, H. (2016), "Significance of stiffening of high damping rubber bearings on the response of base-isolated buildings under near-fault earthquakes", Mech. Syst. Signal Pr., 79, 297-313. https://doi.org/10.1016/j.ymssp.2016.02.029
  6. ASCE/SEI 7-10 (2010), Minimum Design Loads for Buildings and Other Structures, American Society of Civil Engineers, Structural Engineering Institute, Virginia, USA.
  7. Black, K. (2009), Business Statistics for Contemporary Decision Making, (6th Ed.), John Wiley and Sons Inc., USA.
  8. Bray, J.D. and Marek, A.R. (2004), "Characterization of forwarddirectivity ground motions in the near-fault region", Soil Dyn. Earthq. Eng., 24, 815-828. https://doi.org/10.1016/j.soildyn.2004.05.001
  9. Castaldo, P., Amendola, G. and Palazzo, B. (2017), "Seismic fragility and reliability of structures isolated by friction pendulum devices: seismic reliability based design (SRBD)", Earthq. Eng. Struct. D., 46(3), 425-446. https://doi.org/10.1002/eqe.2798
  10. Cheng, F.Y., Jiang, H. and Lou, K. (2008), Smart Structures Innovative Systems for Seismic Response Control, CRC Press Taylor & Francis Group, Boca Raton, Florida, USA.
  11. Choun, Y.S., Park, J. and Choi, I.K. (2014), "Effects of mechanical property variability in lead rubber bearings on the response of seismic isolation system for different ground motions", Nucl. Eng. Technol., 46(5), 605-618. https://doi.org/10.5516/NET.09.2014.718
  12. Constantinou, M.C., Tsopelas, P., Kasalanati, A. and Wolf, E.D. (1999), Property Modification Factors for Seismic Isolation Bearings (Technical Report MCEER-99-0012), University at Buffalo, New York, USA.
  13. Datta, T.K. (2010), Seismic Analysis of Structures, John Wiley & Sons (Asia) Pte Ltd, Singapore.
  14. De La Llera, J.C. and Inaudi, J.A. (1994), "Analysis of baseisolated buildings considering stiffness uncertainty in the isolation system", Proceedings of the 5th U.S. National Conference on Earthquake Engineering, Chicago, Illinois, USA, July.
  15. Dicleli, M. and Buddaram, S. (2007), "Equivalent linear analysis of seismic-isolated bridges subjected to near-fault ground motions with forward rupture directivity effect", Eng. Struct., 29, 21-32.
  16. DIS (2007), Seismic Isolation for Buildings and Bridges, Dynamic Isolation Systems, McCarran, Nevada, USA.
  17. Fan, F.G., Ahmadi, G., Mostaghel, N. and Tadjbakhsh, I.G. (1991), "Performance analysis of aseismic base isolation systems for a multi-story building", Soil Dyn. Earthq. Eng., 10(3), 152-171. https://doi.org/10.1016/0267-7261(91)90029-Y
  18. Fan, J. and Zhang, Y. (2014), "A hybrid probability-convex model for the seismic demand analysis of bearing displacement in the benchmark base-isolated structure", Adv. Struct. Eng., 17(7), 1061-1073. https://doi.org/10.1260/1369-4332.17.7.1061
  19. Gazi, H. (2015), "Probabilistic behavior of seismically isolated buildings under earthquake loadings" PhD dissertation, Istanbul University, Istanbul, Turkey.
  20. Haldar, A. and Mahadevan, S. (2000), Probability Reliability and Statistical Methods in Engineering Design, John Wiley & Sons Inc., USA.
  21. Han, R., Li, Y. and Lindt, J. (2014), "Seismic risk of base isolated non-ductile reinforced concrete buildings considering uncertainties and mainshock-aftershock sequences", Struct. Saf., 50, 39-56. https://doi.org/10.1016/j.strusafe.2014.03.010
  22. Hirata, K., Shiojiri, H., Mazda, T. and Kontani, O. (1989), "Response variability of isolated structure due to randomness of isolation devices", ICOSSAR 89 Proceedings of the 5th International Conference on Structural Safety and Reliability, San Francisco, California, USA, August.
  23. Jacob, C., Sepahvand, K., Matsagar, V.A. and Marburg, S. (2013), "Stochastic seismic response of base-isolated buildings", Int. J. Appl. Mech., 5(1), 1350006 (21 pages). https://doi.org/10.1142/S1758825113500063
  24. Jangid, R.S. (2010), "Stochastic response of building frames isolated by lead-rubber bearings", Struct. Control Health., 17(1), 1-22.
  25. Jangid, R.S. and Datta, T.K. (1995a), "The stochastic response of asymmetric base isolated buildings", J. Sound Vib., 179(3), 463-473. https://doi.org/10.1006/jsvi.1995.0030
  26. Jangid, R.S. and Datta, T.K. (1995b), "Performance of baseisolation systems for asymmetric building subject to randomexcitation", Eng. Struct., 17(6), 443-454. https://doi.org/10.1016/0141-0296(95)00054-B
  27. Kelly, T.E. (2001), Base Isolation of Structures, Holmes Consulting Group Ltd., Wellington, New Zealand.
  28. Kilar, V. and Koren, D. (2009), "Seismic behavior of asymmetric base isolated structures with various distributions of isolators", Eng. Struct., 31, 910-921. https://doi.org/10.1016/j.engstruct.2008.12.006
  29. Kumar, M. (2015), "Seismic isolation of nuclear power plants using elastomeric bearings", PhD dissertation, University at Buffalo, State University of New York, New York, USA.
  30. Ma, C., Zhang, Y., Zhao, Y., Tan, P. and Zhou, F. (2011), "Stochastic seismic response analysis of base-isolated high-rise buildings", Procedia Engineer., 14, 2468-2474. https://doi.org/10.1016/j.proeng.2011.07.310
  31. Ma, C.F., Zhang, Y.H., Tan P. and Zhou, F.L. (2014), "Seismic response of base-isolated high-rise buildings under fully nonstationary excitation", Shock and Vib., 2014, 401469 (Article id), 11 pages.
  32. Malhotra, P.K. (1999), "Response of buildings to near-field pulselike ground motions", Earthq. Eng. Struct. D., 28, 1309-1326. https://doi.org/10.1002/(SICI)1096-9845(199911)28:11<1309::AID-EQE868>3.0.CO;2-U
  33. Marano, G.C. and Greco, R. (2003), "Efficiency of base isolation systems in structural seismic protection and energetic assessment", Earthq. Eng. Struct. D., 32, 1505-1531.
  34. Mathworks (2009), MATLAB: The Language of Technical Computing, Version 7.8.0 (R2009a), The Math Works Inc., USA.
  35. Matsagar, V.A. and Jangid, R.S. (2005), "Base-isolated building with asymmetries due to the isolator parameters", Adv. Struct. Eng., 8, 603-621. https://doi.org/10.1260/136943305776318365
  36. Mazza, F. Vulcano, A. and Mazza, M. (2012), "Nonlinear dynamic response of RC buildings with different base isolation systems subjected to horizontal and vertical components of near-fault ground motions", The Open Construction & Building Technology Journal, 6, 373-383.
  37. Mishra, S.K. and Chakraborty, S. (2013), "Performance of a baseisolated building with system parameter uncertainty subjected to a stochastic earthquake", Int. J. Acoust. Vib., 18(1), 7-19.
  38. Naeim, F. and Kelly, J.M. (1999), Design of Seismic Isolated Structures from Theory to Practice, Wiley, New York, USA.
  39. Nagarajaiah, S., Reinhorn, A.M. and Constantinou, M.C. (1991), 3D-BASIS: A General Program for the Nonlinear Dynamic Analysis of three Dimensional Base Isolated Buildings, National Center for Earthquake Engineering Research, State University of New York at Buffalo, New York, USA.
  40. Okamura, S. and Fujita, S. (2007), "Motion analysis of pendulum type isolation systems during earthquakes (probabilistic study of isolation performance of base isolated structure considering characteristic dispersion of pendulum type isolation systems)", J. Press. Vess-T. ASME, 129(3), 507-515. https://doi.org/10.1115/1.2748831
  41. PEER (2011), Pacific Earthquake Engineering Resource Center: NGA Database, http://ngawest2.berkeley.edu/
  42. Pinto, P.E. and Vanzi, I. (1992), "Base-isolation: reliability for different design criteria", Proceedings of the Earthquake Engineering Tenth World Conference, Madrid, Spain, July.
  43. Politopoulos, I. and Pham, H.K., (2009), "Sensitivity of seismically isolated structures", Earthq. Eng. Struct. D., 38, 989-1007.
  44. Politopoulos, I. and Sollogoub, P. (2005), "Vulnerability of elastomeric bearing isolated buildings and their equipment", J. Earthq. Eng., 9(4), 525-546. https://doi.org/10.1080/13632460509350554
  45. Providakis, C.P. (2009), "Effect of supplemental damping on LRB and FPS seismic isolators under near-fault ground motion", Soil Dyn. Earthq. Eng., 29, 80-90.
  46. Ryan, K.L. and Chopra, A.K. (2004), "Estimation of Seismic Demands on Isolators Based on Nonlinear Analysis, J. Struct. Eng., 130(3), 392-402.
  47. Ryan, K.L. and Earl, C.L. (2010), "Analysis and design of interstory isolation systems with nonlinear devices", J. Earthq. Eng, 14, 1044-1062. https://doi.org/10.1080/13632461003668020
  48. Sehhati, R., Rodriguez-Marek, A., Elgawady, M. and Cofer, W.F. (2011), "Effect of near-fault ground motions and equivalent pulses on multi-story structures", Eng. Struct., 33, 767-779. https://doi.org/10.1016/j.engstruct.2010.11.032
  49. Sharma, A. and Jangid, R.S. (2009), "Behavior of Base-Isolated Structures with High Initial Isolator Stiffness", Int. J. Civil Environ. Struct. Constr. Architect. Eng., 3(2), 49-54.
  50. Shenton III, H.W. and Holloway, E.S. (2000), "Effect of stiffness variability on the response of isolated structures", Earthq. Eng. Struct. D., 29, 19-36. https://doi.org/10.1002/(SICI)1096-9845(200001)29:1<19::AID-EQE893>3.0.CO;2-9
  51. Somerville, P. (2005), "Engineering characterization of near fault ground motions", Planning and Engineering for Performance in Earthquakes (2005 NZSEE), New Zealand, March.
  52. Su, L., Ahmadi, G. and Tadjbakhsh, I. (1990a), "A comparative study of performances of various base isolation systems part II: sensitivity analysis", Earthq. Eng. Struct. D., 19, 21-33.
  53. Tena-Colunga, A. and Escamilla-Cruz, J.L. (2007), "Torsional amplifications in asymmetric base-isolated structures", Eng. Struct., 29, 237-247.
  54. Tena-Colunga, A. and Zambrana-Rojas, C. (2006), "Dynamic torsional amplifications of base-isolated structures with an eccentric isolation system", Eng. Struct., 28, 72-83. https://doi.org/10.1016/j.engstruct.2005.07.003
  55. Yoo, B. and Kim, Y.H. (2002), "Study on effects of damping in laminated rubber bearings on seismic responses for a 1/3 scale isolated test structure", Earthq. Eng. Struct. D., 31(10), 1777-1792. https://doi.org/10.1002/eqe.186