DOI QR코드

DOI QR Code

An energy-based design for seismic resistant structures with viscoelastic dampers

  • Paolacci, F. (University Roma Tre, Department of Structures)
  • Received : 2011.04.26
  • Accepted : 2012.05.25
  • Published : 2013.02.25

Abstract

The present paper aims at studying the seismic response of structures equipped with viscoelastic dampers (VED). The performance of such a passive control system is here analyzed using the energy balance concept, which leads to an optimal design process. The methodology is based on an energy index (EDI) whose maximization permits determination of the optimal mechanical characteristics of VED. On the basis of a single degree of freedom model, it is shown that the maximum value of EDI corresponds to a simultaneous optimization of the significant kinematic and static response quantities, independently of the input. By using the proposed procedure, the optimal design of new and existing structures equipped with VED, inserted in traditional bracing systems, are here analyzed and discussed.

Keywords

viscoelastic dampers;seismic response;energy balance;random vibrations;optimal design

References

  1. Abbass, H. and Kelly, J. (1993), "A methodology for design of viscoelastic dampers in earthquake resistant structures", Report UBC-EERC-93/09.
  2. Albanesi, T., Bergami A.V. and Nuti, C. (2007), "Displacement-based design of buckling-restrained braces for the seismic rehabilitation of existing r.c. frames", 10th World Conference on Seismic Isolation, Energy Dissipation and Active Vibrations Control of Structures, Istanbul, Turkey.
  3. Basili, M. and De Angelis, M. (2007), "A reduced order model for optimal design of 2-MDOF adjacent structures connected by hysteretic dampers", J. Sound Vib., 306(1-2), 297-317. https://doi.org/10.1016/j.jsv.2007.05.012
  4. Blondet, J.M. (1994), "Dynamic response of two viscoelastic dampers", Report to County of Santa Clara Construction Service Division, University of California at Berkeley, UCB/SEMM-1994/01.
  5. Chang, K.C., Soong, T.T., Oh, S.T. and Lai, M.L. (1992), "Effect of Ambient temperature on a viscoelastically damped structure", J. Struct. Eng., 118(7), 1955-1973. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:7(1955)
  6. Chang, K.C., Soong, T.T., Lai, M.L. and Nielsen, E.J. (1993), "Development of a design procedure for structures with added viscoelastic dampers", Proceedings of ATC-17-1 Seminar on Seismic Isolation, Passive Energy Dissipation, and Active Control, San Francisco, California, 2, Passive Energy Dissipation, Active Control, and Hybrid Control Systems, Applied Technology Council, Redwood City, CA, 473-484.
  7. Chang, K.C., Lin, Y.T. and Lai, M.L. (1996), "Seismic design of structures with added viscoelastic dampers", XI World Conference on Earthquake, Acapulco, Mexico.
  8. Chang, K.C., Lin, Y.T. and Lai, M.L. (1998a), "Seismic design of structures with viscoelastic dampers", ISET J. Earthq. Technol., 380(35), 143-166.
  9. Chang, K.C., Tsai, M.H., Chang, Y.H. and Lai, M.L. (1998b), "Temperature rise effect of viscoelastically damped structures under strong earthquake ground motions", J. Mech., 14(3),125-135. https://doi.org/10.1017/S1727719100000150
  10. Ciampi, V., De Angelis, M. and Paolacci, F. (1995), "Design of yielding or friction-based dissipative bracing for seismic protection of buildings", Eng. Struct., 17(5), 381-391. https://doi.org/10.1016/0141-0296(95)00021-X
  11. Ciampi, V. and De Angelis, M. (1996), "Optimal design of passive control systems based on energy dissipation for earthquake protection of structures", Proc. 3rd European Conf. on Struct. Dynamics EURODYN, Florence, Italy.
  12. Ciampi, V., De Angelis, M. and Renzi, E. (2003), "Passive and semi-active control of the seismic response of structures", A. Luongo, Editors. Recent Research Developments in Structural Dynamics, ISBN: 81-7736-186-4. Kerala (India): Research Signpost, 225-254.
  13. Clough, R.W. and Penzien, J. (1975), Dynamics of structures, McGraw Hill, London.
  14. European Committee for Standardization (CEN). (2004), Eurocode 8 :Design of structures for earthquake resistance Part 1: General rules, seismic actions and rules for buildings, EN 1998-1.
  15. Ferry, J.D., Fitzgerald, E.R., Grandine, L.D. and Williams, M.L. (1952), "Temperature dependence of dynamic properties of elastomers; relaxation distributions", J. Ind. Eng. Chem., 25(4), 720-729.
  16. Filiatrault, A. and Cherry, L. (1990), "Seismic design spectra for friction damped structures", J. Struct. Div.- ASCE, 166(5), 1338-1355.
  17. Flugge, W. (1967), Viscoelasticity, Blaisdell Publishing Company.
  18. Inaudi, J.A., Zambrano, A. and Kelly, J. (1993), "On the analysis of structures with viscoelastic dampers", UBC/EERC Report n. 93/06.
  19. Inaudi, J.A., Blondet, M., Kelly, J.M. and Aprile, A. (1996), "Heat generation effect on viscoelastic dampers structures", 11thWolrd Conference on Earthquake Engineering Acapulco, Mexico.
  20. Inoue, K. and Kuwahara, S. (1998), "Optimum strength ratio of hysteretic damper", Earthq. Eng. Struct. D., 27(6), 577-588. https://doi.org/10.1002/(SICI)1096-9845(199806)27:6<577::AID-EQE743>3.0.CO;2-U
  21. Karnopp, D. (1970), "Power balance method for nonlinear random vibration", J. Appl. Mech., 34(1), 212-214.
  22. Kasai, K. and Munshi, J.A. (1994), "Seismic response of viscoelastic frame with yielding members", 5th US National Conference on Earthquake Engineering, EERI, Chicago.
  23. Kasai, K., Munshi, J.A., Lai, M. and Maison, B.F. (1993), "Viscoelastic damper hysteretic model: theory, experiment, and application", ATC-17-1, San Francisco, CA, 521-532.
  24. Kasai, K., Teramoto, M., Okuma, K. and Tokoro, K. (2001), "Constitutive rule for viscoelastic materials considering temperature and frequency sensitivity", J. Struct. Constr. Eng., 543, 77-86.
  25. Kasai, K., Ooki, Y., Tokoro, K., Amemiya, K. and Kimura, K. (2004), "JSSI manual for building passive control technology part-9 time-history analysis model for viscoelastic dampers", 13th World Conference on Earthquake Engineering, Vancouver, B.C., Canada, 1507.
  26. Kim, J. and Choi, H. (2003), "Displacement-based design of supplemental dampers for seismic retrofit of a framed structure", J. Struct. Eng., 132(6), 873-883.
  27. Jones, D.I.G. (2001), Handbook of viscoelastic vibration damping, John Wiley & Sons, Chichester, UK.
  28. Lai, M.L., Kasai, K. and Chang, K.C. (1999), "Relationship between temperature rise and nonlinearity of a viscoelastic damper", ISET J. Earthq. Technol., 36(1), 61-71.
  29. Lee, K.S., Fan, C.P., Sause, R. and Ricles, J. (2005), "Simplified design procedure for frame buildings with viscoelastic or elastomeric structural dampers", Earthq. Eng. Struct. D., 34(10), 1271-1284. https://doi.org/10.1002/eqe.479
  30. Lewandowski, R. and Chorazyczewski, B. (2007), "Remarks on modelling of passive viscoelastic dampers", 9th International Conference, Vilnius, Lithuania.
  31. Paolacci, F. and De Angelis, M.A. (1999), "Random vibration approach to energy based design of passive control system for seismic protection of structures", Proc. of Fourth European Conf. on Struc. Dyn. Eurodyn 99, 299-304.
  32. Paolacci, F. and De Angelis M. (2001), "Passive control of structures using viscoelastic devices", 7th International Seminar on Seismic Isolation, Passive Energy Dissipation and Active Control of Vibrations of Structures, Assisi, Italy.
  33. Park, J.H., Kim, J. and Min, K.W. (2004), "Optimal design of added viscoelastic dampers and supporting braces", Earthq. Eng. Struct. D., 33(4), 465-484. https://doi.org/10.1002/eqe.359
  34. Paolacci, F. and De Angelis, M. (1999), "Un approccio energetico al controllo passivo della risposta dinamica di sistemi a smorzamento lineare", XIV Congresso Nazionale Associazione Italiana di Meccanica Teorica ed Applicata, Como, Italy.
  35. Ponzo, C.F., Dolce, M., Vigoriti, G., Arleo, G. and Di Cesare, A.A (2007), "Design procedure for energy dissipating displacement-dependent bracings system for r/c buildings", 10th World Conference on Seismic Isolation, Energy Dissipation and Active Vibrations Control of Structures, Istanbul, Turkey.
  36. Renzi, E., Perno, S., Pantanella, S. and Ciampi, V. (2007), "Design, test and analysis of a light-weight dissipative bracing system for seismic protection of structures", Earthq. Eng. Struct. D., 36(4), 519-539. https://doi.org/10.1002/eqe.641
  37. Shen, K.L. and Soong, T.T. (1995), "Modelling of viscoelastic dampers for structural application", J. Eng. Mech., 121(6), 694-701. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:6(694)
  38. Singh, M.P. and Chang, T.S. (2009), "Seismic analysis of structures with viscoelastic dampers", J. Eng. Mech., 135(6), 571-580. https://doi.org/10.1061/(ASCE)0733-9399(2009)135:6(571)
  39. Soda, S. and Takahashi, Y. (2000), "Performance based seismic design of building structures with viscoelastic dampers", Proceedings of the Twelfth World Conference on Earthquake Engineering (12WCEE), Auckland, New Zealand.
  40. Spanos, PT.D. (1978), "Energy analysis of structural vibrations under modulated random excitation", J. Struct. Mech., 6(3), 289-302. https://doi.org/10.1080/03601217808907340
  41. Tsai, C.S. (1994), "Temperature effect of viscoelastic dampers during earthquakes", J. Struct. Eng., 120(2), 394-409. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:2(394)
  42. Uang, C.M. and Bertero, V.V. (1988), "Use of energy as a design criterion in earthquake-resistant design", 1988 UBC/EERC Report n. 88/18.
  43. Xua, Z.D., Shenb, Y.P. and Zhaoc, H.T. (2003), "A synthetic optimization analysis method on structures with viscoelastic dampers", Soil Dyn. Earthq. Eng., 23(8), 683-689. https://doi.org/10.1016/j.soildyn.2003.07.003

Cited by

  1. Seismic response mitigation of chemical plant components by passive control techniques vol.26, pp.5, 2013, https://doi.org/10.1016/j.jlp.2013.03.003
  2. A simple approach for seismic retrofit of low-rise concentric X-braced steel frames vol.107, 2015, https://doi.org/10.1016/j.jcsr.2015.01.017
  3. An optimal design procedure for a simple frame equipped with elastic-deformable dissipative braces vol.101, 2015, https://doi.org/10.1016/j.engstruct.2015.07.055