한국소음진동공학회논문집 (Transactions of the Korean Society for Noise and Vibration Engineering)

  • 제20권1호
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  • Pages.22-28
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  • 2010
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  • 1598-2785(pISSN)
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  • 2287-5476(eISSN)
한국소음진동공학회 (The Korean Society for Noise and Vibration Engineering)
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단자유도 건물의 지진응답제어를 위한 마찰감쇠기 설계

Design of Friction Dampers for Seismic Response Control of a SDOF Building

  • 발행 : 2010.01.20
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초록

Approximate analysis for a building installed with a friction damper is performed to get insight of its dynamic behavior. Energy balance equation is used to have a closed analytical form solution of dynamic magnification factor(DMF). It is found out that DMF is dependent on friction force ratio and resonance frequency. Approximation of DMF and equivalent damping ratio of a friction damper is proposed with such assumption that the building with a friction damper shows harmonic steady-state response and narrow banded response behavior near resonance frequency. Linear transfer function from input external force to output building displacement is suggested from the simplified DMF equation. Root mean square of a building displacement is derived under earthquake-like random excitation. Finally, design procedure of a friction damper is proposed by finding friction force corresponding to target control ratio. Numerical analysis is carried out to verify the proposed design procedure.

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참고문헌

  1. Den Hartog, J. P., 1931, “Forced Vibrations with Combined Coulomb and Viscous Friction,” Trans. ASME, Vol. 53, pp. 107-115.
  2. Hundal, M. S., 1979, “Response of a Base Excited System with Coulomb Viscous Friction,” Journal of Sound and Vibration, Vol. 64, No. 3, pp. 371-378. https://doi.org/10.1016/0022-460X(79)90583-2
  3. Liang, J. W., 2005, “Identifying Coulomb and Viscous Damping from Free-vibration Acceleration Decrements,” Journal of Sound and Vibration, Vol. 282, pp. 1208-1220. https://doi.org/10.1016/j.jsv.2004.04.034
  4. Lee, S.-H., Woo, S.-S., Cho, S.-H. and Ching, L., 2007, “Optimal Design of Tuned Mass Damper Considering the Friction between the Moving Mass and the Rail,” Transactions of the Korean Society for Noise and Vibration Engineering, Vol. 17, No. 6, pp. 553-559. https://doi.org/10.5050/KSNVN.2007.17.6.553
  5. Chopra, A. K., 2001, “Dynamics of Structures,” Prentice-Hall, U.S.A., p. 844.
  6. Crandall, S. H. and Mark, W. D., 1973, “Random Vibration,” Academic Press., U.S.A., p. 165.