Structural Engineering and Mechanics

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Dimensional analysis of base-isolated buildings to near-fault pulses

  • Istrati, Denis (Department of Civil Engineering, University of Nevada-Reno) ;
  • Spyrakos, Constantine C. (Laboratory of Materials Science and Engineering, School of Chemical Engineering, National Technical University of Athens, Zografou Campus) ;
  • Asteris, Panagiotis G. (Computational Mechanics Laboratory, School of Pedagogical and Technological Education) ;
  • Panou-Papatheodorou, Eleni (Laboratory of Materials Science and Engineering, School of Chemical Engineering, National Technical University of Athens, Zografou Campus)
  • Received : 2019.10.19
  • Accepted : 2020.01.11
  • Published : 2020.07.10
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Abstract

In this paper the dynamic behavior of an isolated building subjected to idealized near-fault pulses is investigated. The building is represented with a simple 2-DOF model. Both linear and non-linear behavior of the isolation system is considered. Using dimensional analysis, in conjunction with closed form mathematical idealized pulses, appropriate dimensionless parameters are defined and self-similar curves are plotted on dimensionless graphs, based on which various conclusions are reached. In the linear case, the role of viscous damping is examined in detail and the existence of an optimum value of damping along with its significant variation with the number of half-cycles is shown. In the nonlinear case, where the behavior of the building depends on the amplitude of the excitation, the benefits of dimensional analysis are evident since the influence of the dimensionless 𝚷-terms is easily examined. Special consideration is given to the normalized strength of the non-linear isolation system that appears to play a complex role which greatly affects the response of the 2-DOF. In the last part of the paper, a comparison of the responses to idealized pulses between a linear fixed-base SDOF and the respective isolated 2-DOF with both linear and non-linear damping is conducted and it is shown that, under certain values of the superstructure and isolation system characteristics, the use of an isolation system can amplify both the normalized acceleration and displacement of the superstructure.

Keywords

References

  1. Alhan, C. and Gavin, H. (2004), "A parametric study of linear and non-linear passively damped seismic isolation systems for buildings", Eng. Struct., 26, 485-497, https://doi.org/10.1016/j.engstruct.2003.11.004.
  2. Ariga, T., Kanno, Y. and Takewaki, I. (2006), "Resonant Behaviour of Base-Isolated High-Rise Buildings under long-period ground motions", Struct. Design Tall Spec. Build., 15, 325-338, https://doi.org/10.1002/tal.298.
  3. Buckle, I.G. and Mayes, R.L. (1990), "Seismic isolation history, application and performance-A world view", Earthq. Spectra, 6, 161-201. https://doi.org/10.1193/1.1585564
  4. Buckle, I., Nagarajaiah, S. and Ferrell, K. (2002), "Stability of elastomeric isolation bearings: Experimental study", J. Struct. Eng., 128(1), 3-11. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:1(3)
  5. Barenblatt, G. I. (1996), Scaling, Self-Similarity, and Intermediate Asymptotics, Cambridge University Press, Cambridge, United Kingdom.
  6. Castaldo, P. and Tubaldi, E. (2018), "Influence of ground motion characteristics on the optimal single concave sliding bearing properties for base-isolated structures", Soil Dyn. Earthq. Eng., 104, 346-364, https://doi.org/10.1016/j.soildyn.2017.09.025.
  7. Chen, H., Tan, P., Ma, H. and Zhou, F. (2017). "Response spectrum analysis considering non-classical damping in the base-isolated benchmark building", Struct. Eng. Mech., 64(4), 473-485, https://doi.org/10.12989/sem.2017.64.4.473.
  8. Chopra, A.K. (2007), Dynamics of Structures: Theory and Applications to Earthquake Engineering (3rd edition), Prentice-Hall, New Jersey, USA.
  9. Mazza, F. and Vulcano, A. (2009), "Nonlinear Response of RC Framed Buildings with Isolation and Supplemental Damping at the Base Subjected to Near-Fault Earthquakes", J. Earthquake Eng., 13, 690-715, https://doi.org/10.1080/13632460802632302.
  10. Hall, J.F., Heaton, T.H., Halling, M.W. and Wald, D.J. (1995), "Near-source ground motion and its effects on flexible buildings", Earthq. Spectra, 11(4), 569-605, https://doi.org/10.1193/1.1585828.
  11. Hall, J.F. (1999), "Discussion on the role of damping in seismic isolation", Earthq. Eng. Struct. Dyn., 28, 1717-1720, https://doi.org/10.1002/(SICI)1096-9845(199912)28:12<1717::AID-EQE889>3.0.CO;2-G.
  12. Hall, J.F. and Ryan, K.L. (2000), "Isolated buildings and the 1997 UBC near-source factors", Earthq. Spectra, 16(2), 393-411, https://doi.org/10.1193/1.1586118.
  13. Heaton, T.H., Hall, J.F., Wald, D.J. and Halling, M.W. (1995), "Response of high-rise and base-isolated buildings to a hypothetical MW 7.0 blind thrust earthquake", Science, 267(5195), 206-211, 10.1126/science.267.5195.206.
  14. Inaudi, J.A. and Kelly, J.M. (1993), "Optimum damping in linear isolation systems", Earthq. Eng. Struct. Dyn., 22(7), 583-598, 10.1002/eqe.4290220704.
  15. Jacobsen, L.S. and Ayre, R.S. (1958), Engineering Vibrations, McGraw-Hill, New York, USA.
  16. Jangid, R.S. and Kelly, J.M. (2001), "Base isolation for near-fault motions", Earthquake Eng. Struct. Dyn., 30(5), 691-707, https://doi.org/10.1002/eqe.31.
  17. Jangid, R.S. (2005), "Optimum friction pendulum system for near-fault motions", Eng. Struct., 27(3), 349-359, https://doi.org/10.1016/j.engstruct.2004.09.013.
  18. Jangid, R.S. (2007), "Optimum lead-rubber isolation bearings for near-fault motions", Eng. Struct., 2503-2513, https://doi.org/10.1016/j.engstruct.2006.12.010.
  19. Kampas, G. and Makris, N. (2012), "Time and frequency domain identification of seismically isolated structures: advantages and limitations", Earthq. Struct., 3(3), 249-270, https://doi.org/10.12989/eas.2012.3_3.249.
  20. Kampas, G. and Makris, N. (2013), "The engineering merit of the 'effective period' of bilinear isolation systems, Earthq. Struct.", 4(4), 397-428, https://doi.org/10.12989/eas.2013.4.4.397.
  21. Kelly, J.M. (1997), Earthquake-resistant Design with Rubber, 2nd ed., Springer, London, United Kingdom.
  22. Konstantinidis, D., Nikfar, F. (2015), "Seismic response of sliding equipment and contents in base-isolated buildings subjected to broadband ground motions" Earthquake Eng. Struct. Dyn., 44(6), 865-887, https://doi.org/10.1002/eqe.2490.
  23. Langhaar, H.L. (1951), Dimensional Analysis and Theory of Models, Wiley, New York, USA.
  24. Liao, W.I., Loh, C.H. and Lee, B.H. (2004), "Comparison of dynamic response of isolated and non-isolated continuous girder bridges subjected to near-fault ground motions", Eng. Struct., 26, 2173-2183. https://doi.org/10.1016/j.engstruct.2004.07.016.
  25. Makris, N. (1997), "Rigidity-plasticity-viscosity: Can electrorheological dampers protect base-isolated structures from near-source ground motions?" Earthquake Eng. Struct. Dyn., 26, 571-591, https://doi.org/10.1002/(SICI)1096-9845(199705)26:5<571::AID-EQE658>3.0.CO;2-6.
  26. Makris, N. (2014), "A half-century of rocking isolation", Earthq. Struct., 7(6), 1187-1221, https://doi.org/10.12989/eas.2014.7.6.1187.
  27. Makris, N. and Chang, S.P. (2000). "Response of damped oscillators to cycloidal pulses", J. Eng. Mech., 126, 123-131, https://doi.org/10.1061/(ASCE)0733-9399(2000)126:2(123).
  28. Makris, N. and Chang, S.P. (2000), "Effect of viscous, viscoplastic and friction damping on the response of seismic isolated structures", Earthq. Eng. Struct. Dyn., 29, 85-107, https://doi.org/10.1002/(SICI)1096-9845(200001)29:1<85::AID-EQE902>3.0.CO;2-N.
  29. Makris, N. and Black, C.J. (2004), "Dimensional Analysis of Rigid-Plastic and Elastoplastic Structures under Pulse-Type Excitations", J. Eng. Mech., ASCE, 130(9), 1006-1018, https://doi.org/10.1061/(ASCE)0733-9399(2004)130:9(1006).
  30. Makris, N. and Black, C.J. (2004). "Dimensional Analysis of Bilinear Oscillators under Pulse-Type Excitations", J. Eng. Mech., ASCE, 130(9), 1019-1031, https://doi.org/10.1061/(ASCE)0733-9399(2004)130:9(1019).
  31. Makris, N. and Black, C.J. (2004), "Evaluation of Peak Ground Velocity as a "Good" Intensity Measure for Near-Source Ground Motions", J. Eng. Mech., ASCE, 130(9), 1032-1044, https://doi.org/10.1061/(ASCE)0733-9399(2004)130:9(1032).
  32. Makris, N. and Psychogios, T. (2006), "Dimensional response analysis of yielding structures with first-mode dominated response", Earthq. Eng. Struct. Dyn., 35, 1203-1224, https://doi.org/10.1002/eqe.578.
  33. MATLAB (2005), Τhe Language of Technical Computing, Version 7, The Mathworks Inc.
  34. Mavroeidis, G.P. and Papageorgiou, A.S. (2003), "A mathematical representation of near-fault ground motions", Bull. Seismol. Soc. Am., 93, 1099-1131, https://doi.org/10.1785/0120020100.
  35. Mavroeidis, G.P., Dong, G. and Papageorgiou, A.S. (2004), "Near-fault ground motions, and the response of elastic and inelastic single-degree-of freedom (SDOF) systems", Earthquake Eng. Struct. Dyn., 33, 1023-1049, https://doi.org/10.1002/eqe.391.
  36. Menun, C. and Fu, Q. (2002), "An analytical model for near-fault ground motions and the response of SDOF systems", Proceedings of the 7th U.S. National Conference on Earthquake Engineering, Boston, Massachusetts, July 21-25.
  37. Mylonakis, G. and Reinhorn, A.M. (2001), "Yielding oscillator under triangular ground acceleration pulse", J. Earthq. Eng., 5(2), 225-251, https://doi.org/10.1080/13632460109350393.
  38. Mylonakis, G. and Voyagaki, E. (2006), "Yielding oscillator to simple pulse waveforms: numerical analysis and closed-form solutions", Earthq. Eng. Struct. Dyn., 35(15), 1949-1974, https://doi.org/10.1002/eqe.615.
  39. Nagarajaiah, S. and Ferrell, K. (1999), "Stability of elastomeric seismic isolation bearings", J. Struct. Eng., 125(9), 946-954, https://doi.org/10.1061/(ASCE)0733-9445(1999)125:9(946).
  40. Nagarajaiah, S. and Sun, X. (2000), "Response of base isolated USC hospital building in Northridge earthquake", J. Struct. Eng., 126(10), 1177-1186, https://doi.org/10.1061/(ASCE)0733-9445(2000)126:10(1177).
  41. Nagarajaiah, S. and Sun, X. (2001), "Base isolated FCC building: Impact response in Northridge earthquake", J. Struct. Eng., 127(9), 1063-1074, https://doi.org/10.1061/(ASCE)0733-9445(2001)127:9(1063).
  42. Panchal, V.R. and Jangid, R.S. (2008), "Variable friction pendulum system for near-fault ground motions", Struct Control Health Monit., 15(4), 568-584, https://doi.org/10.1002/stc.216.
  43. Ramallo, J.C., Johnson, E.A. and Spencer, B.F.Jr. (2002), "Smart Base Isolation Systems", J. Eng. Mech., 128(10), 1088-1099, https://doi.org/10.1061/(ASCE)0733-9399(2002)128:10(1088).
  44. Rao, P.B. and Jangid, R.S. (2001). "Performance of sliding systems under near-fault motions", Nucl. Eng. Des., 203(2-3), 259-272, https://doi.org/10.1016/S0029-5493(00)00344-7.
  45. Sadek, F. and Mohraz, B. (1998), "Semi-active control algorithms for structures with variable dampers", J. Eng. Mech., 124(9), 981-990, https://doi.org/10.1061/(ASCE)0733-9399(1998)124:9(981).
  46. Sahasrabudhe, S. and Nagarajaiah, S. (2005), "Experimental study of sliding base-isolated Buildings with magnetorheological dampers in near-fault earthquakes", J. Struct. Eng., 131(7), 1025-1034, https://doi.org/10.1061/(ASCE)0733-9445(2005)131:7(1025).
  47. Shen, J., Tsai, M-H., Chang, K.C. and Lee, G.C. (2004), "Performance of a seismically Isolated Bridge under Near-Fault Earthquake Ground Motions", J. Struct. Eng., 130(6), 861-868. https://doi.org/10.1061/(asce)0733-9445(2004)130:6(861)
  48. Wen, Yi-Kwei (1976), "Method for Random Vibration of Hysteretic Systems", J. Eng. Mech., 102(2), 249-263.
  49. Yang. J.N. and Agrawal, A.K. (2002), "Semi-active hybrid control systems for nonlinear buildings against near-field earthquakes", Eng. Struct., 24(3), 271-280. https://doi.org/10.1016/S0141-0296(01)00094-3.
  50. Zhang, Y. and Iwan, W.D. (2002), "Protecting base-isolated structures from near-field ground motion by tuned interaction damper", J. Eng. Mech., 128(3), 287-295, https://doi.org/10.1061/(ASCE)0733-9399(2002)128:3(287).