Earthquakes and Structures

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High performance active tuned mass damper inerter for structures under the ground acceleration

  • Li, Chunxiang (Department of Civil Engineering, Shanghai University) ;
  • Cao, Liyuan (Department of Civil Engineering, Shanghai University)
  • Received : 2018.08.06
  • Accepted : 2018.12.27
  • Published : 2019.02.25
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Abstract

By integrating an active tuned mass damper (ATMD) and an inerter, the ATMDI has been proposed to attenuate undesirable oscillations of structures under the ground acceleration. Employing the mode generalized system, the dynamic magnification factors (DMF) of the structure-ATMDI system are formulated. The criterion can then be defined as the minimization of maximum values of the DMF of the controlled structure for optimum searching. By resorting to the defined criterion and the particle swarm optimization (PSO), the effects of varying the crucial parameters on the performance of ATMDI have been scrutinized in order to probe into its superiority. Furthermore, the results of both ATMD and tuned mass dampers inerter (TMDI) are included into consideration for comparing. Results corroborate that the ATMDI outperforms both ATMD and TMDI in terms of the effectiveness and robustness. Especially, the ATMDI may greatly reduce the demand on both the mass ratio and inerter mass ratio, thus being capable of further miniaturizing both the ATMD and TMDI. Likewise the miniaturized ATMDI still keeps nearly the same stroke as the TMDI with a larger mass ratio. Hence, the ATMDI is deemed to be a high performance control device with the miniaturization and suitable for super-tall buildings.

Keywords

References

  1. Amini, F., Hazaveh, N.K. and Rad, A.A. (2013), "Wavelet PSO-based LQR algorithm for optimal structural control using active tuned mass dampers", Comput. Aid. Civil Inf. Eng., 28(7), 542-557. https://doi.org/10.1111/mice.12017
  2. Anajafi, C.H. and Medina, R.A. (2018), "Robust design of a multi-floor isolation system", Struct. Control Hlth. Monit., 25(4), e2130. https://doi.org/10.1002/stc.2130
  3. Bekdas, G. and Nigdeli, S.M. (2013), "Mass ratio factor for optimum tuned mass damper strategies", Int. J. Mech. Sci., 71, 68-84. https://doi.org/10.1016/j.ijmecsci.2013.03.014
  4. Bozer, A. and Ozsariyildiz, S.S. (2018), "Free parameter search of multiple tuned mass dampers by using artificial bee colony algorithm", Struct Control Hlth. Monit., 25(2), e2066. https://doi.org/10.1002/stc.2066
  5. Cao, L. and Li, C. (2018), "Enhanced hybrid active tuned mass dampers for structures", Struct. Control Hlth. Monit., 25, e2067. https://doi.org/10.1002/stc.2067
  6. Casciati, F. and Giuliano, F. (2009), "Performance of Multi-TMD in the towers of suspension bridges", J. Vib. Control, 15(6), 821-847. https://doi.org/10.1177/1077546308091455
  7. Chang, C.C. and Yang, H.T.Y. (1995), "Control of buildings using active tuned mass dampers", J. Eng. Mech., ASCE, 121(3), 355-366. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:3(355)
  8. Chang, J.C.H. and Soong, T.T. (1980), "Structural control using active tuned mass damper", J. Eng. Mech., ASCE, 106(6), 1091-1098.
  9. Chung, L.L., Wu, L.Y., Yang, C.S.W., Lien, K.H., Lin, M.C. and Huang, H.H. (2013), "Optimal design formulas for viscous tuned mass dampers in wind-excited structures", Struct. Control Hlth. Monit., 20(3), 320-336. https://doi.org/10.1002/stc.496
  10. Clerc, M. and Kennedy, J. (2002), "The particle swarm-explosion, stability, and convergence in a multidimensional complex space", IEEE Tran. Evol. Comput., 61, 58-73. https://doi.org/10.1109/4235.985692
  11. Collins, R., Basu, B. and Broderick, B. (2006), "Control strategy using bang-bang and minimax principle for FRF with ATMDs", Eng. Struct., 28(3), 349-356. https://doi.org/10.1016/j.engstruct.2005.08.012
  12. Daniel, Y. and Lavan, O. (2014), "Gradient based optimal seismic retrofitting of 3D irregular buildings using multiple tuned mass dampers", Comput. Struct., 139, 84-97. https://doi.org/10.1016/j.compstruc.2014.03.002
  13. Daniel, Y., Lavan, O. and Levy, R. (2012), "Multiple-tuned mass dampers for multimodal control of pedestrian bridges", J. Struct. Eng., ASCE, 138(9), 1173-1178. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000527
  14. Dinh, V.N. and Basu, B. (2015), "Passive control of floating offshore wind turbine nacelle and spar vibrations by multiple tuned mass dampers", Struct. Control Hlth. Monit., 22(1), 152-176. https://doi.org/10.1002/stc.1666
  15. Domenico, D.D. and Ricciardi, G. (2018), "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
  16. Eason, R.P., Sun, C., Dick, A.J. and Nagarajaiah, S. (2013), "Attenuation of a linear oscillator using a nonlinear and a semi-active tuned mass damper in series", J. Sound Vib., 332(1), 154-166. https://doi.org/10.1016/j.jsv.2012.07.048
  17. Fadel Miguel, L.F., Lopez, R.H., Miguel, L.F.F. and Torii, A.J. (2016), "A novel approach to the optimum design of MTMDs under seismic excitations", Struct. Control Hlth. Monit., 23(11), 1290-1313. https://doi.org/10.1002/stc.1845
  18. Fu, T.S. and Johnson, E.A. (2011), "Distributed mass damper system for integrating structural and environmental controls in buildings", J. Eng. Mech., ASCE, 137(3), 205-213. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000211
  19. Giaralis, A. and Petrini, F. (2017), "Wind-induced vibration mitigation in tall buildings using the tuned mass-damper-inerter", J. Struct. Eng., ASCE, 143(9), 04017127.
  20. Giaralis, A. and Taflanidis, A.A. (2018), "Optimal tuned mass-damper-inerter (TMDI) design for seismically excited MDOF structures with model uncertainties based on reliability criteria", Struct. Control Hlth. Monit., 25, e2082. https://doi.org/10.1002/stc.2082
  21. Guclu, R. and Yazici, H. (2008), "Vibration control of a structure with ATMD against earthquake using fuzzy logic controllers", J. Sound Vib., 318(1-2), 36-49. https://doi.org/10.1016/j.jsv.2008.03.058
  22. Ikago, K., Saito, K. and Inoue, N. (2012), "Seismic control of single-degree-of-freedom structure using tuned viscous mass damper", Earthq. Eng. Struct. Dyn., 41(3), 463-474.
  23. Jangid, R.S. (1995), "Dynamic characteristics of structures with multiple tuned mass dampers", Struct. Eng. Mech., 3(5), 497-509. https://doi.org/10.12989/sem.1995.3.5.497
  24. Jangid, R.S. (1999), "Optimum multiple tuned mass dampers for base-excited undamped system", Earthq. Eng. Struct. Dyn., 28(9), 1041-1049. https://doi.org/10.1002/(SICI)1096-9845(199909)28:9<1041::AID-EQE853>3.0.CO;2-E
  25. Jokic, M., Stegic, M. and Butkovic, M. (2011), "Reduced-order multiple tuned mass damper optimization: A bounded real lemma for descriptor systems approach", J. Sound Vib., 330(22), 5259-5268. https://doi.org/10.1016/j.jsv.2011.06.005
  26. Kannan, S.M., Sivasubramanian, R. and Jayabalan, V. (2009), "Particle swarm optimization for minimizing assembly variation in selective assembly", Int. J. Adv. Manuf. Technol., 42(7-8), 793-803. https://doi.org/10.1007/s00170-008-1638-7
  27. Lazar, I.F., Neild, S.A. and Wagg, D.J. (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
  28. Li, C. (2000), "Performance of multiple tuned mass dampers for attenuating undesirable oscillations of structures under the ground acceleration", Earthq. Eng. Struct. Dyn., 29(9), 1405-1421. https://doi.org/10.1002/1096-9845(200009)29:9<1405::AID-EQE976>3.0.CO;2-4
  29. Li, C. (2012), "Effectiveness of the active multiple tuned mass dampers for asymmetric structures considering soil-structure interaction effects", Struct Des. Tall Spec. Build., 21(8), 543-565. https://doi.org/10.1002/tal.624
  30. Li, C. and Cao, B. (2015), "Hybrid active tuned mass dampers for structures under the ground acceleration", Struct. Control Hlth. Monit., 22(4), 757-773. https://doi.org/10.1002/stc.1716
  31. Li, C. and Han, B. (2011), "Effect of dominant ground frequency and soil on multiple tuned mass dampers", Struct Des. Tall Spec. Build., 20(2), 151-163. https://doi.org/10.1002/tal.519
  32. Li, C. and Liu, Y. (2003), "Optimum multiple tuned mass dampers for structures under ground acceleration based on the uniform distribution of system parameters", Earthq. Eng. Struct. Dyn., 32(5), 671-690. https://doi.org/10.1002/eqe.239
  33. Li, C. and Liu, Y. (2004), "Ground motion dominant frequency effect on the design of multiple tuned mass dampers", J. Earthq. Eng., 8(1), 89-105. https://doi.org/10.1080/13632460409350482
  34. Li, C. and Qu, W. (2006), "Optimum properties of multiple tuned mass dampers for reduction of translational and torsional response of structures subject to ground acceleration", Eng. Struct., 28(4), 472-494. https://doi.org/10.1016/j.engstruct.2005.09.003
  35. Li, C., Li, J. and Qu, Y. (2010), "An optimum design methodology of active tuned mass damper for asymmetric structures", Mech. Syst. Signal Pr., 24(3), 746-765. https://doi.org/10.1016/j.ymssp.2009.09.011
  36. Lin, C.C., Chen, C.L. and Wang, J.F. (2010), "Vibration control of structures with initially accelerated passive tuned mass dampers under near-fault earthquake excitation", Comput. Aid. Civil Inf. Eng., 25(1), 69-75. https://doi.org/10.1111/j.1467-8667.2009.00607.x
  37. Lin, C.C., Lin, G.L. and Chiu, K.C. (2017), "Robust design strategy for multiple tuned mass dampers with consideration of frequency bandwidth", Int. J. Struct. Stab. Dyn., 17(1), 1750002.
  38. Lin, C.C., Lu, L.Y., Lin, G.L. and Yang, T.W. (2010), "Vibration control of seismic structures using semi-active friction multiple tuned mass dampers", Eng. Struct., 32(10), 3404-3417. https://doi.org/10.1016/j.engstruct.2010.07.014
  39. Lin, C.C., Wang, J.F., Lien, C.H., Chiang, H.W. and Lin, C.S. (2010), "Optimum design and experimental study of multiple tuned mass dampers with limited stroke", Earthq. Eng. Struct. Dyn., 39(14), 1631-1651. https://doi.org/10.1002/eqe.1008
  40. Lu, X. and Chen, J. (2011), "Mitigation of wind-induced response of Shanghai Center Tower by tuned mass damper", Struct Des. Tall Spec Build., 20(4), 435-452. https://doi.org/10.1002/tal.659
  41. Lu, X. and Chen, J. (2011), "Parameter optimization and structural design of tuned mass damper for Shanghai centre tower", Struct Des. Tall Spec. Build., 20(4), 453-471. https://doi.org/10.1002/tal.649
  42. Lucchini, A., Greco, R., Marano, G. and Monti, G. (2014), "Robust design of tuned mass damper systems for seismic protection of multistory buildings", J. Struct. Eng., ASCE, 140(8), A4014009.
  43. Luo, J., Wierschem, N., Fahnestock, L., Bergman, L., Spencer, Jr. B., AL-Shudeifat, M., McFarland, D., Quinn, D. and Vakakis, A. (2014), "Realization of a strongly nonlinear vibration mitigation device using elastomeric bumpers", J. Eng. Mech., ASCE, 140(5), 1-11. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000641
  44. 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", Prob. Eng. Mech., 38, 156-164. https://doi.org/10.1016/j.probengmech.2014.03.007
  45. Matta, E. (2013), "Effectiveness of tuned mass dampers against ground motion pulses", J. Struct. Eng., ASCE, 139(2), 188-198. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000629
  46. Mohebbi, M., Shakeri, K., Ghanbarpour, Y. and Majzoub, H. (2013), "Designing optimal multiple tuned mass dampers using genetic algorithms (GAs) for mitigating the seismic response of structures", J. Vib. Control, 19(4), 605-625. https://doi.org/10.1177/1077546311434520
  47. Pietrosanti, D., Angelis, M.D. 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
  48. Smith, M.C. (2002), "Synthesis of mechanical networks: the inerter", IEEE Tran. IEEE Trans. Autom. Control., 47 1648-1662. https://doi.org/10.1109/TAC.2002.803532
  49. Sun, C., Eason, R.P., Nagarajaiah, S. and Dick, A.J. (2013), "Hardening Duffing oscillator attenuation using a nonlinear TMD, a semi-active TMD and multiple TMD", J. Sound Vib., 332(4), 674-686. https://doi.org/10.1016/j.jsv.2012.10.016
  50. Wang, F., Hong, M. and Lin, T. (2010), "Designing and testing a hydraulic inerter", Proc. Inst. Mech. Eng. Part C: J. Mech. Eng. Sci., 225(1), 66-72. https://doi.org/10.1243/09544062JMES2199
  51. Xu, K. and Igusa, T. (1992), "Dynamic characteristics of multiple substructures with closely spaced frequencies", Earthq. Eng. Struct. Dyn. 21(12), 1059-1070. https://doi.org/10.1002/eqe.4290211203

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