Structural Engineering and Mechanics

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Inserting the mass proportional damping (MPD) system in a concrete shear-type structure

  • Received : 2002.12.20
  • Accepted : 2003.06.13
  • Published : 2003.08.25
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Abstract

This paper presents an illustrative example of the advantages offered by inserting added viscous dampers into shear-type structures in accordance with a special scheme based upon the mass proportional damping (MPD) component of the Rayleigh viscous damping matrix. In previous works developed by the authors, it has been widely shown that, within the class of Rayleigh damped systems and under the "equal total cost" constraint, the MPD system provides best overall performance both in terms of minimising top-storey mean square response to a white noise stochastic input and maximising the weighted average of modal damping ratios. A numerical verification of the advantages offered by the application of MPD systems to a realistic structure is presented herein with reference to a 4-storey reinforced-concrete frame. The dynamic response of the frame subjected to both stochastic inputs and several recorded earthquake ground motions is here analysed in detail. The results confirm the good dissipative properties of MPD systems and indicate that this is achieved at the expense of relatively small damping forces.

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References

  1. Brown, P., Aiken, I.D. and Jafarzadeh, F.J. (2001), "Seismic Retrofit of the W. F. Bennett Federal building", Modern Steel Construction.
  2. Chiarugi, A., Terenzi, G. and Sorace, S. (2001), "Metodo di progetto di dispositivi siliconici per l'isolamento allabase: applicazione a due casi sperimentali", Atti del $10{\circ}$ Convegno Nazionale ANIDIS, Potenza-Matera, Italy.
  3. Chopra, A.K. (1995), Dynamics of Structures, Theory and Applications to Earthquake Engineering, PrenticeHall, Englewood Cliffs.
  4. Clough, R.W. and Penzien, J. (1993), Dynamics of Structures, 2nd edition, McGraw-Hill International Editions,Civil Engineering Series, New York.
  5. Contantinou, M.C. and Tadjbakhsh, I.G. (1983), "Optimum design of a first story damping system", Comp. Struct., 17(2), 305-310. https://doi.org/10.1016/0045-7949(83)90019-6
  6. Crandall, S.H. and Mark, W.D. (1963), Random Vibrations in Mechanical Systems, Academic Press, New Yorkand London.
  7. De Silva, C.W. (1981), "An algorithm for the optimal design of passive vibration controllers for flexiblesystems", J. Sound Vib., 75(4), 495-502. https://doi.org/10.1016/0022-460X(81)90437-5
  8. Hahn, G.D. and Sathiavageeswaran, K.R. (1992), "Effects of added-damper distribution on the seismic responseof buildings", Comp. Struct., 43(5), 941-950. https://doi.org/10.1016/0045-7949(92)90308-M
  9. Hart, G.C. and Wong, K. (2000), Structural Dynamics for Structural Engineers, John Wiley & Sons, New York.
  10. Lopez Garcia, D. (2001), "A simple method for the design of optimal configurations in MDOF structures",Earthquake Spectra, 17(3), 387-398. https://doi.org/10.1193/1.1586180
  11. Singh, M.P. and Moreschi, L.M. (2001), "Optimal seismic response control with dampers", Earth. Eng. Struct.Dyn., 30(4), 553-572. https://doi.org/10.1002/eqe.23
  12. Singh, M.P. and Moreschi, L.M. (2002), "Optimal placement of dampers for passive response control", Earth.Eng. Struct. Dyn., 31(4), 955-976. https://doi.org/10.1002/eqe.132
  13. Skalmierski, B. and Tylikowski, A. (1982), Stochastic Processes in Dynamics, Martinus Nijhoff Publishers, London or PWN/Polish scientific publishers, Warsawa.
  14. Takewaki, I. (1997), "Optimal damper placement for minimum transfer functions", Earth. Eng. Struct. Dyn., 26,1113-1124. https://doi.org/10.1002/(SICI)1096-9845(199711)26:11<1113::AID-EQE696>3.0.CO;2-X
  15. Takewaki, I. (1998), "Optimal damper positioning in beams for minimum dynamic compliance", Comp. Meth.Appl. Mech. Eng., 156, 363-373. https://doi.org/10.1016/S0045-7825(97)00221-1
  16. Takewaki, I. (1999), "Displacement-acceleration control via stiffness-damping collaboration", Earth. Eng. Struct.Dyn., 28(12), 1113-1124.
  17. Takewaki, I. (2000), "Optimal damper placement for critical excitation", Prob. Eng. Mech., 15, 317-325. https://doi.org/10.1016/S0266-8920(99)00033-8
  18. Trombetti, T., Ceccoli, C. and Silvestri, S. (2001), "Mass proportional damping as a seismic design solution foran 18-storey concrete-core & steel-frame structure", Proc. of the Speciality Conf. on "The ConceptualApproach to Structural Design", Singapore, August 2001.
  19. Trombetti, T., Silvestri, S. and Ceccoli, C. (2002) "Inserting viscous dampers in shear-type structures: Analyticalformulation and efficiency of MPD system", Proc. of the Second Int. Conf. on Advances in StructuralEngineering and Mechanics (ASEM'02), Pusan, Korea, August 2002.
  20. Trombetti, T., Silvestri, S. and Ceccoli, C. (2002), "Added viscous dampers in shear-type structures: theeffectiveness of mass proportional damping", N. T. $n^{\circ}$ 58. DISTART, Universita di Bologna, Italy.
  21. Zhang, R.H. and Soong, T.T. (1992), "Seismic design of viscoelastic dampers for structural applications", J. Str.Eng., ASCE, 118(5), 1375-1392. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:5(1375)
  22. http://nisee.berkeley.edu/prosys/applications.html
  23. http://www.arup.com/dyna/applications/seismic/seismic.htm
  24. http://www.aisc.org/Content/ContentGroups/Modern_Steel_Construction3/August_2001/0108_03_seismicretrofit.pdf

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