Smart Structures and Systems

  • 제29권4호
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  • Pages.549-560
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  • 2022
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  • 1738-1584(pISSN)
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  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
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DOI QR Code

Optimum parameters and performance of tuned mass damper-inerter for base-isolated structures

  • 투고 : 2021.03.28
  • 심사 : 2021.12.27
  • 발행 : 2022.04.25
⟨ 이전 논문 다음 논문 ⟩

초록

The optimum damping and tuning frequency ratio of the tuned mass damper-inerter (TMDI) for the base-isolated structure is obtained using the numerical searching technique under stationary white-noise and filtered white-noise earthquake excitation. The minimization of the isolated structure's mean-square relative displacement and absolute acceleration, as well as the maximization of the energy dissipation index, were chosen as the criteria for optimality. Using a curve-fitting technique, explicit formulae for TMDI damping and tuning frequency for white-noise excitation are then derived. The proposed empirical expressions for TMDI parameters are found to have a negligible error, making them useful for the effective design of base-isolated structures. The effectiveness of TMDI and its optimum parameters are influenced by the soil condition and isolation frequency, according to the comparison made of the optimized parameters and response with different soil profiles. The effectiveness of an optimally designed TMDI in controlling the displacement and acceleration response of the flexible isolated structure under real and pulse-type earthquakes is also observed and found to be increased as the inertance mass ratio increases.

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참고문헌

  1. Bakre, S.V. and Jangid, R.S. (2007), "Optimum parameters of tuned mass damper for damped main system", Struct. Control Health Monitor., 14, 448-470. https://doi.org/10.1002/stc.166
  2. Bandivadekar, T.P. and Jangid, R.S. (2013), "Optimization of multiple tuned mass dampers for vibration control of system under external excitation", J. Vib. Control, 19, 1854-1871. https://doi.org/10.1177/1077546312449849
  3. Barredo, E., Mendoza Larios J.G., Mayen, J., Flores-Hernandez, A.A., Colin, J. and Arias Montiel, M. (2019), "Optimal design for high-performance passive dynamic vibration absorbers under random vibration", Eng. Struct., 195, 469-489. https://doi.org/10.1016/j.engstruct.2019.05.105
  4. Cao, L. and Li, C. (2019), "Tuned tandem mass dampers-inerters with broadband high effectiveness for structures under white noise base excitations", Struct. Control Health Monitor., 26(4), e2319. https://doi.org/10.1002/stc.2319
  5. Cao, L., Li, C. and Chen, X. (2020), "Performance of multiple tuned mass dampers-inerters for structures under harmonic ground acceleration", Smart Struct. Syst., Int. J., 26(1), 49-61. https://doi.org/10.12989/sss.2020.26.1.049
  6. Clough, R.W. and Penzien, J. (2003), Dynamics of Structures, (3rd Edition), Berkeley, CA, USA, Computers and Structures.
  7. De Angelis, M., Giaralis, A., Petrini, F. and Pietrosanti, D. (2019), "Optimal tuning and assessment of inertial dampers with grounded inerter for vibration control of seismically excited base-isolated systems", Eng. Struct., 196, 109250. https://doi.org/10.1016/j.engstruct.2019.05.091
  8. De Domenico, D. and Ricciardi, G. (2018a), An enhanced base isolation system equipped with optimal tuned mass damper inerter (TMDI)", Earthq. Eng. Struct. Dyn., 47(5), 1169-1192. https://doi.org/10.1002/eqe.3011
  9. De Domenico, D. and Ricciardi, G. (2018b), "Improving the dynamic performance of base-isolated structures via tuned mass damper and inerter devices: A comparative study", Struct. Control Health Monitor., 25(10), e2234. https://doi.org/10.1002/stc.2234
  10. De Domenico, D., Ricciardi, G. and Zhang, R. (2020), "Optimal design and seismic performance of tuned fluid inerter applied to structures with friction pendulum isolators", Soil Dyn. Earthq. Eng., 132, 106099. https://doi.org/10.1016/j.soildyn.2020.106099
  11. Di Matteo, A., Masnata, C. and Pirrotta, A. (2019), "Simplified analytical solution for the optimal design of Tuned Mass Damper Inerter for base isolated structures", Mech. Syst. Signal Process., 134, 106337. https://doi.org/10.1016/j.ymssp.2019.106337
  12. Garrido, H., Curadelli, O. and Ambrosini, D. (2013), "Improvement of tuned mass damper by using rotational inertia through tuned viscous mass damper", Eng. Struct., 56, 2149-2153. https://doi.org/10.1016/j.engstruct.2013.08.044
  13. Hu, Y., Chen, M.Z., Shu, Z. and Huang, L. (2015), "Analysis and optimisation for inerter-based isolators via fixed-point theory and algebraic solution", J. Sound Vib., 346, 17-36. https://doi.org/10.1016/j.jsv.2015.02.041
  14. Hwang, J.-S., Kim, J. and Kim, Y.-M. (2007), "Rotational inertia dampers with toggle bracing for vibration control of a building structure", Eng. Struct., 29(6), 1201-1208. https://doi.org/10.1016/j.engstruct.2006.08.005
  15. Jadhav, M.B. and Jangid, R.S. (2006), "Response of base-isolated liquid storage tanks to near-fault motions", Struct. Eng. Mech., Int. J., 23(6), 615-634. https://doi.org/10.12989/sem.2006.23.6.615
  16. Jangid, R.S. and Kelly, J.M. (2001), "Base isolation for near-fault motions", Earthq. Eng. Struct. Dyn., 30(5), 691-707. https://doi.org/10.1002/eqe.31
  17. Kataria, N.P. and Jangid, R.S. (2016), "Seismic protection of the horizontally curved bridge with semi-active variable stiffness damper and isolation system", Adv. Struct. Eng., 19(7), 1103-1117. https://doi.org/10.1177/1369433216634477
  18. Kelly, J.M. (1997), Earthquake-Resistant Design with Rubber, (2nd Ed.), London, UK, Springer-Verlag.
  19. Kiureghian, A.D. and Neuenhofer, A. (1992), "Response spectrum method for multi-support seismic excitations", Earthq. Eng. Struct. Dyn., 21(8), 713-740. https://doi.org/10.1002/eqe.4290210805
  20. Lazar, I.F. (2014), "Using an inerter-based device for structural vibration suppression", Earthq. Eng. Struct. Dyn., 43(8), 1129-1147. https://doi.org/10.1002/eqe.2390
  21. Li, Y. and Li, J. (2019), "Overview of the development of smart base isolation system featuring magnetorheological elastomer", Smart Struct. Syst., Int. J., 24(1), 37-52. https://doi.org/10.12989/sss.2019.24.1.037
  22. Li, C., Chang, K., Cao, L. and Huang, Y. (2021), "Performance of a nonlinear hybrid base isolation system under the ground motions", Soil Dyn. Earthq. Eng., 143, 106589. https://doi.org/10.1016/j.soildyn.2021.106589
  23. Lin, P.Y., Roschke, P.N. and Loh, C.H. (2006), "Hybrid base-isolation with magnetorheological damper and fuzzy control", Struct. Control Health Monitor., 14(3), 384-405. https://doi.org/10.1002/stc.163
  24. Madhekar, S.N. and Jangid, R.S. (2009), "Variable dampers for earthquake protection of benchmark highway bridges", Smart Mater. Struct., 18(11), 115011. https://doi.org/10.1088/0964-1726/18/11/115011
  25. Makris, N. and Chang, S.-P. (2000a), "Effect of viscous, viscoelastic and friction damping on the response of seismic isolated structures", Earthq. Eng. Struct. Dyn., 29(1), 85-107. https://doi.org/10.1002/(SICI)1096-9845(200001)29:1%3C85::AID-EQE902%3E3.0.CO;2-N
  26. Makris, N. and Chang, S.-P. (2000b), "Response of damped oscillators to cycloidal pulses", J. Eng. Mech., 126(2), 123-131. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:2(123)
  27. Makris, N. and Moghimi, G. (2019), "Displacements and forces in structures with inerters when subjected to earthquakes", J. Struct. Eng., 145(2), 04018260. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002267
  28. Marian, L. and Giaralis, A. (2014), "Optimal design of a novel tuned mass damper-inerter (TMDI) passive vibration control configuration for stochastically support-excited structural systems", Probabil. Eng. Mech., 38, 156-164. https://doi.org/10.1016/j.probengmech.2014.03.007
  29. Masri, S.F. and Caffrey, J.P. (2017), "Transient response of a SDOF system with an inerter to nonstationary stochastic excitation", J. Appl. Mech., 84(4), 041005. https://doi.org/10.1115/1.4035930
  30. Matsagar, V.A. and Jangid, R.S. (2008), "Base isolation for seismic retrofitting of structures", Pract. Period. Struct. Des. Constr., 13(4), 175-185. https://doi.org/10.1061/(ASCE)1084-0680(2008)13:4(175)
  31. Mazza, F. (2018), "Seismic demand of base-isolated irregular structures subjected to pulse-type earthquakes", Soil Dyn. Earthq. Eng., 108, 111-129. https://doi.org/10.1016/j.soildyn.2017.11.030
  32. Mazza, F. (2019), "Effects of the long-term behaviour of isolation devices on the seismic response of base-isolated buildings", Struct. Control Health Monitor., 26(4), e2331. https://doi.org/10.1002/stc.2331
  33. Mazza, F. (2021), "Base-isolation of a hospital pavilion against inplane-out-of-plane seismic collapse of masonry infills", Eng. Struct., 228, 111504. https://doi.org/10.1016/j.engstruct.2020.111504
  34. Nagarajaiah, S. and Sen, D. (2020), "Apparent-weakening by adaptive passive stiffness shaping along the height of multistory building using negative stiffness devices and dampers for seismic protection", Eng. Struct., 220, 110754. https://doi.org/10.1016/j.engstruct.2020.110754
  35. Patil, V.B. and Jangid, R.S. (2011), "Optimum multiple tuned mass dampers for the wind excited benchmark building", J. Civil Eng. Manag., 17(4), 540-557. https://doi.org/10.3846/13923730.2011.619325
  36. Pietrosanti, D., De Angelis, M. and Basili, M. (2017), "Optimal design and performance evaluation of systems with Tuned Mass Damper Inerter (TMDI)", Earthq. Eng. Struct. Dyn., 46(8), 1367-1388. https://doi.org/10.1002/eqe.2861
  37. Rao, P.B. and Jangid, R.S. (2001), "Performance of sliding systems under near-fault motions", Nuclear Eng. Des., 203, 259-272. https://doi.org/10.1016/S0029-5493(00)00344-7
  38. Reigles, D.G. and Symans, M.D. (2006), "Supervisory fuzzy control of a base-isolated benchmark building utilizing a neuro-fuzzy model of controllable fluid viscous dampers", Struct. Control Health Monitor., 13, 724-747. https://doi.org/10.1002/stc.108
  39. Roberts, J.B. and Spanos, P.D. (1990), Random Vibration and Statistical Linearization, Chichester, UK, Wiley.
  40. Salvi, J. and Rizzi, E. (2016), "Closed-form optimum tuning formulas for passive tuned mass dampers under benchmark excitations", Smart Struct. Syst., Int. J., 17(2), 231-256. https://doi.org/10.12989/sss.2016.17.2.231
  41. Spencer Jr, B.F. and Nagarajaiah, S. (2003), "State of the art of structural control", J. Struct. Eng., 129(7), 845-856. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:7(845)
  42. Tigli, O.F. (2012), "Optimum vibration absorber (tuned mass damper) design for linear damped systems subjected to random loads", J. Sound Vib., 331(13), 3035-3049. https://doi.org/10.1016/j.jsv.2012.02.017
  43. Tiong, P.L.Y., Kelly, J.M. and Or, T.T. (2017), "Design approach of high damping rubber bearing for seismic isolation", Smart Struct. Syst., Int. J., 20(3), 303-309. https://doi.org/10.12989/sss.2017.20.3.303
  44. Wang, B., Zhu, S. and Casciati, F. (2020), "Experimental study of novel self-centering seismic base isolators incorporating superelastic shape memory alloys", J. Struct. Eng., 146(7), 04020129. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002679
  45. Wen, Y., Chen, Z. and Hua, X. (2017), "Design and evaluation of tuned inerter-based dampers for the seismic control of MDOF structures", J. Struct. Eng., 143(4), 04016207. https://doi.org/10.1061/(ASCE)ST.1943-541X.0001680