Earthquakes and Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Seismic vibration control of bridges with excessive isolator displacement

  • Roy, Bijan K. (Department of Civil Engineering, National Institute of Technology) ;
  • Chakraborty, Subrata (Department of Civil Engineering, Indian Institute of Engineering Science and Technology) ;
  • Mishra, Sudib K. (Department of Civil Engineering, Indian Institute of Technology)
  • Received : 2016.03.18
  • Accepted : 2016.05.24
  • Published : 2016.06.25
⟨ Previous Next ⟩

Abstract

The effectiveness of base isolation (BI) systems for mitigation of seismic vibration of bridges have been extensively studied in the past. It is well established in those studies that the performance of BI system is largely dependent on the characteristics of isolator yield strength. For optimum design of such systems, normally a standard nonlinear optimization problem is formulated to minimize the maximum response of the structure, referred as Stochastic Structural Optimization (SSO). The SSO of BI system is usually performed with reference to a problem of unconstrained optimization without imposing any restriction on the maximum isolator displacement. In this regard it is important to note that the isolator displacement should not be arbitrarily large to fulfil the serviceability requirements and to avoid the possibility of pounding to the adjacent units. The present study is intended to incorporate the effect of excessive isolator displacement in optimizing BI system to control seismic vibration effect of bridges. In doing so, the necessary stochastic response of the isolated bridge needs to be optimized is obtained in the framework of statistical linearization of the related nonlinear random vibration problem. A simply supported bridge is taken up to elucidate the effect of constraint condition on optimum design and overall performance of the isolated bridge compared to that of obtained by the conventional unconstrained optimization approach.

Keywords

References

  1. Abdel, R.S. (2009), "Pounding mitigation and unseating prevention at expansion joints of isolated multispan bridges", Eng. Struct., 31(10), 2345-2356. https://doi.org/10.1016/j.engstruct.2009.05.010
  2. Baratta, A. and Corbi, I. (2004), "Optimal design of base-isolators in multi-storey buildings", Comput. Struct., 82(23-26), 2199-2209. https://doi.org/10.1016/j.compstruc.2004.03.061
  3. Bhuiyan, A.R. and Alam, M.S. (2013), "Seismic performance assessment of highway bridges equipped with superelastic shape memory alloy-based laminated rubber isolation bearing", Eng. Struct., 49, 396-407. https://doi.org/10.1016/j.engstruct.2012.11.022
  4. Bouc, R. (1967), "Forced vibration of mechanical systems with hysteresis", Proceedings of 4th Conference on Nonlinear Oscillations, Prague, Czechoslovakia.
  5. Chakraborty, S., Debbarma, R. and Marano, G.C. (2012), "Performance of tuned liquid column dampers considering maximum liquid motion in seismic vibration control of structures", J. Sound Vib., 331(7), 1519-1531. https://doi.org/10.1016/j.jsv.2011.11.029
  6. Constantinou, M.C., Tsopelas, P., Kim, Y.S. and Okamoto, S. (1993), NCEER-Taisei Corporation Research Program on Sliding Seismic Isolation Systems for Bridges: Experimental and Analytical Study of a Friction Pendulum System (FPS), Technical Rep. NCEER-93-0020, National Center for Earthquake Engineering, Buffalo, New York.
  7. Crandall, S. and Mark, W. (1963), Random Vibration in Mechanical System. Academic Press, New York, USA.
  8. Das, S., Gur, S., Mishra, S.K. and Chakraborty, S. (2015), "Optimal performance of base isolated building considering limitation on excessive isolator displacement", Struct. Infrastruct. Eng., 11(7), 904-917. https://doi.org/10.1080/15732479.2014.921716
  9. Dezfuli, F.H. and Alam, M.S. (2014), "Performance-based assessment and design of FRP-based high damping rubber bearing incorporated with shape memory alloy wires", Eng. Struct., 61, 166-183. https://doi.org/10.1016/j.engstruct.2014.01.008
  10. Dicleli, M. and Buddaram, S. (2006), "Effect of isolator and ground motion characteristics on the performance of seismic-isolated bridges", Earthq. Eng. Struct. Dyn., 35(2), 233-250. https://doi.org/10.1002/eqe.522
  11. Ismail, M., Ikhouane, F. and Rodellar, J. (2009), "The hysteresis Bouc-Wen model, a survey", Arch. Comput. Meth. Eng., 16(2), 161-188. https://doi.org/10.1007/s11831-009-9031-8
  12. Jangid, R.S. (2008a), "Equivalent linear stochastic seismic response of isolated bridges", J. Sound Vib., 309(3), 805-822. https://doi.org/10.1016/j.jsv.2007.07.071
  13. Jangid, R.S. (2008b), "Stochastic response of bridges seismically isolated by friction pendulum system", J. Bridge Eng., 13(4), 319-330. https://doi.org/10.1061/(ASCE)1084-0702(2008)13:4(319)
  14. Jangid, R.S. (2010), "Stochastic response of building frames isolated by lead-rubber bearings", Struct. Control Hlth. Monit., 17(1), 1-22. https://doi.org/10.1002/stc.266
  15. Jankowski, R., Wilde, K. and Fujino, Y. (1998), "Pounding of superstructure segments in isolated elevated bridge during earthquake", Earthq. Eng. Struct. Dyn., 27(5), 487-502. https://doi.org/10.1002/(SICI)1096-9845(199805)27:5<487::AID-EQE738>3.0.CO;2-M
  16. Jankowski, R., Wilde, K. and Fujino, Y. (2000), "Reduction of pounding effects in elevated bridges during earthquakes", Earthq. Eng. Struct.Dyn., 29(2), 195-212. https://doi.org/10.1002/(SICI)1096-9845(200002)29:2<195::AID-EQE897>3.0.CO;2-3
  17. Jensen, H.A. (2006), "Structural optimization of non-linear systems under stochastic excitation", Prob. Eng. Mech., 21(4), 397-409. https://doi.org/10.1016/j.probengmech.2006.02.002
  18. Kanai, K. (1957), "Semi-empirical formula for the seismic characteristics of the ground", Bull. Earthq. Res. Inst., University of Tokyo, 35, 309-325.
  19. Kunde, M.C. and Jangid, R.S. (2003), "Seismic behavior of isolated bridges: a-state of-the-art review", Elect. J. Struct. Eng., 3(2), 140-170.
  20. Kunde, M.C. (2006), "Effects of pier and deck flexibility on the seismic response of the isolated bridges", J. Bridge Eng., ASCE, 11(1),109-121. https://doi.org/10.1061/(ASCE)1084-0702(2006)11:1(109)
  21. Li, X.M. (1989), "Optimization of the stochastic response of a bridge isolation system with hysteretic dampers", Earthq. Eng. Struct. Dyn., 18(7), 951-964. https://doi.org/10.1002/eqe.4290180703
  22. Lutes, L.D. and Sarkani, S. (1997), Stochastic Analysis of Structural and Mechanical Vibrations, Prentice Hall, Upper Saddle River, New Jersey, USA.
  23. Lutes, L.D. and Sarkani, S. (2004), Random Vibrations, Analysis of Structural and Mechanical Systems, Elsevier Butterworth-Heinemann,Burlington, MA, USA.
  24. Madhekar, S.N. and Jangid, R.S. (2009), "Variable dampers for earthquake protection of benchmark highway bridges", Smart Mater. Struct., 18(11), 1-18.
  25. Marano, G.C., Greco, R., Trentadue, F. and Chiaia, B. (2007), "Constrained reliability-based optimization of linear tuned mass dampers for seismic control", Int. J. Solid. Struct., 44(22), 7370-7388. https://doi.org/10.1016/j.ijsolstr.2007.04.012
  26. Mishra, S.K., Gur, S., Roy, K. and Chakraborty, S. (2015), "Response of bridges isolated by shape memoryalloy rubber bearing", J. Bridge Eng., ASCE, doi: 10.1061/(ASCE) BE.1943-5592.0000837.
  27. Moehle, J.P. and Eberhard, M.O. (2000), Earthquake Damage to Bridges, Bridge Engineering Handbook, Eds., Wai-Fah Chen and Lian Duan, CRC Press, Boca Raton, FL, USA.
  28. Nigam, N.C. (1972), "Structural optimization in random vibration environment", AIAA J., 10(4), 551-553. https://doi.org/10.2514/3.50151
  29. Ozbulut, O.E. and Hurlebaus, S. (2011), "Optimal design of superelastic friction type isolators for seismic protection of highway bridges against near-fault earthquakes", Earthq. Eng. Struct. Dyn., 40(3), 273-291. https://doi.org/10.1002/eqe.1022
  30. Pagnini, L.C. and Solari, G. (1999), "Stochastic analysis of the linear equivalent response of bridge piers with aseismic devices", Earthq. Eng. Struct. Dyn., 28(5), 543-560. https://doi.org/10.1002/(SICI)1096-9845(199905)28:5<543::AID-EQE829>3.0.CO;2-Q
  31. Roberts, J.B. and Spanos, P.D. (1990), Random Vibrations and Statistical Linearization, John Wiley and Sons, New York, USA.
  32. Sun, J.Q. (2006), Stochastic Dynamics and Control, Elsevier, Amsterdam, Netherlands.
  33. Taflanidis, A.A. and Beck, J.L. (2008), "An efficient framework for optimal robust stochastic system design using stochastic simulation", Comp. Meth. Appl. Mech. Eng., 198(1), 88-101. https://doi.org/10.1016/j.cma.2008.03.029
  34. Tajimi, H. (1960), "A Statistical method of determining the maximum response of a building structure during an earthquake", Proceeding of 2nd World Conference on Earthquake Engineering, Tokyo, Japan.
  35. Turkington, D.H., Carr, A.J., Cooke, N. and Moss, P.J. (1988), "Seismic design of bridges on lead-rubber bearings", J. Struct. Eng., ASCE, 115(12), 3000-3016. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:12(3000)
  36. Wang, Y.P., Chung, L.L. and Liao, W.H. (1998), "Seismic response analysis of bridges isolated with friction pendulum bearings", Earthq. Eng. Struct. Dyn., 27(10), 1069-1093. https://doi.org/10.1002/(SICI)1096-9845(199810)27:10<1069::AID-EQE770>3.0.CO;2-S
  37. Wen, Y.K. (1976), "Method of random vibration of hysteretic systems", J. Eng. Mech., ASCE, 102(2), 249-263.
  38. Zhu, P., Abe, M. and Fujino Y. (2004), "Evaluation of pounding countermeasures and serviceability of elevated bridges during seismic excitation using 3D modelling", Earthq. Eng. Struct. Dyn., 33(5), 591-609. https://doi.org/10.1002/eqe.365

Cited by

  1. Multi-Objective Optimization of Three Different SMA-LRBs for Seismic Protection of a Benchmark Highway Bridge against Real and Synthetic Ground Motions vol.10, pp.12, 2020, https://doi.org/10.3390/app10124076