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Stochastic optimum design criterion of added viscous dampers for buildings seismic protection

  • Marano, Giuseppe Carlo (Department of Environmental Engineering and Sustainable Development, Technical University of Bari) ;
  • Trentadue, Francesco (Department of Environmental Engineering and Sustainable Development, Technical University of Bari) ;
  • Greco, Rita (Department of Civil Engineering and Architecture, Technical University of Bari)
  • Received : 2005.05.26
  • Accepted : 2006.07.25
  • Published : 2007.01.10

Abstract

In this study a stochastic approach for linear viscous dampers design adopted for seismic protection of buildings is developed. Devices optimal placement into the main structure and their mechanical parameters are attained by means of a reliability-based optimum design criterion, in which an objective function (O.F.) is minimized, subject to a stochastic constraint. The seismic input is modelled by a non stationary modulated Kanai Tajimi filtered stochastic process. Building is represented by means of a plane shear type frame model. The selected criterion for the optimization searches the minimum of the O.F., here assumed to be the cost of the seismic protection, i.e., assumed proportional to the sum of added dampings of each device. The stochastic constraint limits a suitable approximated measure of the structure failure probability, here associated to the maximum interstorey drift crossing over a given threshold limit, related, according with modern Technical Codes, to the required damage control.

Keywords

References

  1. Ashour, S.A. and Hanson, R.D. (1987), 'Elastic seismic response of buildings with supplemental damping', Report No. UMCE 87-1, University of Michigan, Ann Arbor, MI
  2. Constantinou, M.C. and Symans, M.D. (1993a), 'Experimental study of seismic response of structures with supplemental fluid dampers', The Structural Design of Tall Buildings, 2, 93-132 https://doi.org/10.1002/tal.4320020203
  3. Constantinou, M.C. and Symans, M.D. (1993b), 'Experimental and analytical investigation of seismic response of structures with supplemental fluid dampers', Report No. NCEER 92-0032, National Center for Earthquake Engineering Research, University of New York at Buffalo, Buffalo, NY
  4. Crosby, P., Kelly, J.M. and Singh, J. (1994), 'Utilizing viscoelastic dampers in the seismic retrofit of a thirteen story steel frame building', Structures Congress XII, Atlanta, GA, 1286-1291
  5. De Silva, C.W. (1981), 'An algorithm for the optimal design of passive vibration controllers for flexible systems', J. Sound Vib., 75(4), 495-502 https://doi.org/10.1016/0022-460X(81)90437-5
  6. Eurocode 8 (EC8), (2003), Design Provisions for Earthquake Resistance of Structures, CEN
  7. FEMA 356 (2000), Prestandard and Commentary for the Seismic Rehabilitation of Buildings, Federal Emergency Management Agency, Washington, DC
  8. FEMA 450 (2004), NEHRP Recommended Provisions for Seismic Regulations for New Buildings and Other Structures, Federal Emergency Management Agency, Washington, DC
  9. Gluck, N., Reinhom, A.M., Gluck, J. and Levy, R. (1996), 'Design of supplemental dampers for control of structures', J. Struct. Eng., 122(12), 1394-1399 https://doi.org/10.1061/(ASCE)0733-9445(1996)122:12(1394)
  10. Gtirgoze, M. and Muller, P.C. (1992), 'Optimal positioning of dampers in multi-body systems', J. Sound Vib., 158(3), 517-530 https://doi.org/10.1016/0022-460X(92)90422-T
  11. Housner, G.W. et al. (1997), 'Structural control: Past, present, and future', J. Eng. Mech., 123(9), 897-971 https://doi.org/10.1061/(ASCE)0733-9399(1997)123:9(897)
  12. Ikeda, Y. (2004), 'Active and semiactive control of buildings in Japan', J. of Japan Association for Earthq. Eng. 43 (Special Issue)
  13. Jennings, P.C. (1964), 'Periodic response of a general yielding structure', J. Eng. Mech., Div; ASCE, 90(2), 131-166
  14. Lutes, L. D. and Sarkani, S. (2001), Random Vibrations, Butterworth-Heinemann, Oxford (UK)
  15. Nigam, N.C. (1972), Structural Optimization in Random Vibration Environment, AIAA, 551-553
  16. Reinhorn, A.M., Li, C. and Constantinou, M.C. (1995a), 'Experimental and analytical investigation of seismic retrofit of structures with supplemental damping: Part 1 - Fluid viscous damping devices', Report No. NCEER 95-0001, National Center for Earthquake Engineering Research, University of New York at Buffalo, Buffalo, NY
  17. Reinhom, A.M. and Li, C. (1995b), 'Experimental and analytical investigation of seismic retrofit of structures with supplement damping, Part III: Viscous damping wall', Technical Report NCEER-95-0013, NCEER, Buffalo, NY
  18. Shen, K.L. and Soong, T.T. (1995), 'Modelling of viscoelastic dampers for structural applications', J. Eng. Mech., ASCE, 121, 694-701 https://doi.org/10.1061/(ASCE)0733-9399(1995)121:6(694)
  19. Shukla, A.K. and Datta, T.K. (1999), 'Optimal use of viscoelastic dampers in building frames for seismic force', J. Struct. Eng., 125(4), 401-409 https://doi.org/10.1061/(ASCE)0733-9445(1999)125:4(401)
  20. Soong, T.T. and Grigoriu, M. (1993), Random Vibration in Mechanical and Structural Systems, Prentice-Hall, Englewood Cliffs, N.J.
  21. Soong, T.T. and Costantinou, M.C. (1994), Passive and Active Structural Vibration Control in Civil Engineering, Springer-Verlag Wien, New York
  22. Zhang, R.H. and Soong, T.T. (1992), 'Seismic design of viscoelastic dampers for structural applications', J. Struct. Eng., 118(5), 1375-1392 https://doi.org/10.1061/(ASCE)0733-9445(1992)118:5(1375)

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