DOI QR코드

DOI QR Code

Motion-based design of TMD for vibrating footbridges under uncertainty conditions

  • Jimenez-Alonso, Javier F. (Department of Building Structures and Geotechnical Engineering, Universidad de Sevilla) ;
  • Saez, Andres (Department of Continuum Mechanics and Structural Analysis, Universidad de Sevilla)
  • 투고 : 2017.11.02
  • 심사 : 2018.03.09
  • 발행 : 2018.06.25

초록

Tuned mass dampers (TMDs) are passive damping devices widely employed to mitigate the pedestrian-induced vibrations on footbridges. The TMD design must ensure an adequate performance during the overall life-cycle of the structure. Although the TMD is initially adjusted to match the natural frequency of the vibration mode which needs to be controlled, its design must further take into account the change of the modal parameters of the footbridge due to the modification of the operational and environmental conditions. For this purpose, a motion-based design optimization method is proposed and implemented herein, aimed at ensuring the adequate behavior of footbridges under uncertainty conditions. The uncertainty associated with the variation of such modal parameters is simulated by a probabilistic approach based on the results of previous research reported in literature. The pedestrian action is modelled according to the recommendations of the Synpex guidelines. A comparison among the TMD parameters obtained considering different design criteria, design requirements and uncertainty levels is performed. To illustrate the proposed approach, a benchmark footbridge is considered. Results show both which is the most adequate design criterion to control the pedestrian-induced vibrations on the footbridge and the influence of the design requirements and the uncertainty level in the final TMD design.

키워드

과제정보

연구 과제 주관 기관 : Spanish Ministry for Science

참고문헌

  1. Arora, J.S. (2007), Optimization of Structural and Mechanical Systems, World Scientific Publishing Co. Pte. Ltd, Singapore.
  2. Ansys (2017), Mechanical Release http://www.ansys.com/
  3. Asami, T., Nishihara, O. and Baz, A.M. (2002), "Analytical solutions to $H{\infty}$ and H2 optimization of dynamic vibration absorbers attached to damped linear systems", J. Vib. Acoust., 124(2), 284-295. https://doi.org/10.1115/1.1456458
  4. Bekdas, G. and Nigdeli, S.M. (2011), "Estimating optimum parameters of tuned mass dampers using harmony search", Eng. Struct., 33(9), 2716-2723. https://doi.org/10.1016/j.engstruct.2011.05.024
  5. Bortoluzzi, D., Casciati, S., Elia, l. and Faravelli, L. (2015), "Design of a TMD solution to mitigate wind-induced local vibrations in an existing timber footbridge", Smart Struct. Syst., 16(3), 459-478. https://doi.org/10.12989/sss.2015.16.3.459
  6. Bucher, C. (2009), Computational Analysis of Randomness in Structural Mechanics, CRC Press Taylor & Francis Group, London, United Kingdom.
  7. Butz, C.H., Heinemeyer, C.H.; Goldack, A., Keil, A., Lukic, M., Caetano, E. and Cunha, A. (2007), "Advanced Load Models for Synchronous Pedestrian Excitation and Optimised Design Guidelines for Steel Footbridges (SYNPEX)". RFCS-Research Project RFS-CR-03019.
  8. Caetano, E., Cunha, A., Magalhaes, F. and Moutinho, C. (2010), "Studies for controlling human-induced vibration of the Pedro e Ines footbridge, Portugal. Part 2: Implementation of tuned mass dampers", Eng. Struct., 32(4), 1082-1091. https://doi.org/10.1016/j.engstruct.2009.12.033
  9. Caetano, E., Cunha, A., Raoul, J. and Hoorpah, W. (2009), Footbridge Vibration Design, CRC Press Taylor and Francis Group, Leuden, The Netherlands.
  10. Casciati, S. (2016), "Human induced vibration vs. cable-stay footbridge deterioration", Smart Struct. Syst., 18(1), 17-29. https://doi.org/10.12989/sss.2016.18.1.017
  11. Casciati, S., Chassiakos, A.G. and Masri, S.F. (2014), "Toward a paradigm for civil structural control", Smart Struct. Syst., 14 (5), 981-1004. https://doi.org/10.12989/sss.2014.14.5.981
  12. Clough, R.W. and Penzien, J. (1993), Dynamics of structures, McGraw-Hill Book Company, New York, United States.
  13. Connor, J. (2003), Introduction to Structural Motion Control, Prentice Hall, Pearson Education, Inc., New Jersey, United States.
  14. Crandall, S.H. and Mark, W.D. (1963), Random Vibration in Mechanical Systems, Academic Press, New York, United States.
  15. Dallard, P., Fitzpatrick, A.J., Le Bourva, S., Low, A., Smith, R., Wilford, M. and Flint, A. (2001), "The London Millenium Footbridge", Struct. Engineer, 79(22), 17-33.
  16. Den Hartog, J.P. (1956), Mechanical Vibrations, 4th ed., McGraw-Hill, New York, United States.
  17. Engen, M., Hendriks, M., Kohler, J., O verli, J.A. and A ldstedt, E. (2017), "A quantification of the modelling uncertainty of nonlinear finite element analyses of large concrete structures", Struct. Saf., 64: 1-8. https://doi.org/10.1016/j.strusafe.2016.08.003
  18. Hu, W.H., Caetano, E. and Cunha, A. (2013), "Structural health monitoring of a stress-ribbon footbridge", Eng. Struct., 57: 578-593. https://doi.org/10.1016/j.engstruct.2012.06.051
  19. Jimenez-Alonso J.F. and Saez, A. (2017a), "Motion-based design of a slender steel footbridge and assessment of its dynamic behaviour", Int. J.Steel Struct., 17(4), 1459-1470. https://doi.org/10.1007/s13296-017-1215-8
  20. Jimenez-Alonso J.F. and Saez, A. (2017b), "Robust optimum design of TMDs to mitigate pedestrian induced vibrations using multi-objective genetic algorithms", Struct. Eng. Int., 4,492-501.
  21. Koh Ghee, C. and Perry, M.C. (2010), Structural Identification and Damage Detection using Genetic Algorithms, CRC Press, Taylor and Francis Group, London, United Kingdom.
  22. Liang, Q.Q. (2007), "Performance-based optimization: A review", Adv. Struct. Eng., 10(6), 739-753. https://doi.org/10.1260/136943307783571418
  23. Lievens, K., Lombaert, G., De Roeck, G. and Van den Broeck, P. (2016), "Robust design of a TMD for the vibration serviceability of a footbridge", Eng. Struct., 123, 408-418. https://doi.org/10.1016/j.engstruct.2016.05.028
  24. Marano, G.C. and Cuaranta, G. (2009), "Robust optimum criteria for tuned mass dampers in fuzzy environments", Appl. Soft Comput., 9(4), 1232-1243. https://doi.org/10.1016/j.asoc.2009.03.010
  25. Marano, G.C., Greco, R. and Sgobba, S. (2010), "A comparison between different robust optimum design approaches: Application to tuned mass dampers", Probabilist. Eng. Mech., 25(1), 108-118. https://doi.org/10.1016/j.probengmech.2009.08.004
  26. Matlab, R. (2017), http://www.mathworks.com/.
  27. Mirzai, N.M., Zahrai, S.M. and Bozorgi, F. (2017), "Proposing optimum parameters of TMDs using GSA and PSO algorithms for drift reduction and uniformity", Struct. Eng. Mech., 63(2), 147-160. https://doi.org/10.12989/SEM.2017.63.2.147
  28. Nagarajaiah, S. and Jung, H.J. (2014), "Smart tuned mass dampers: Recent developments", Smart Struct. Syst., 13(2), 173-176. https://doi.org/10.12989/sss.2014.13.2.173
  29. Nocedal, J. and Wright, S.J. (1999), Numerical Optimization, Springer, New York, United States.
  30. Ramezani, M., Akbar Bathaei, A. and Seyed Mehdi Zahrai, S.M (2017), "Designing fuzzy systems for optimal parameters of TMDs to reduce seismic response of tall buildings", Smart Struct. Syst., 19(3), 269-277. https://doi.org/10.12989/sss.2017.19.3.269
  31. Salvi, J. and Rizzi, E. (2016), "Closed-form optimum tuning formulas for passive Tuned Mass Dampers under benchmark excitations", Smart Struct. Syst., 17(2), 231-256. https://doi.org/10.12989/sss.2016.17.2.231
  32. Setra (2006), Guide methodologique passerelles pietonnes (Technical Guide Footbridges: Assessment of vibration behaviour of footbridge under pedestrian loading).
  33. Soong, T.T. and Costantinou M.C. (1994), Passive and active control structural vibration control in civil engineering, Springer, State University of New York at Buffalo. Buffalo, United States.
  34. Soria J.M., Diaz I, Garcia-Palacios, J. and Iban N. (2016), "Vibration monitoring of a steel-plated stress-ribbon footbridge: uncertainties in the modal estimation", J. Bridge Eng. - ASCE, 21(8), C5015002. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000830
  35. Van Nimmen, K., Verbeke, P., Lombaert, G. and De Roeck, G. (2016), "Numerical and experimental evaluation of the dynamic performance of a footbridge with tuned mass dampers", J. Bridge Eng. - ASCE, 21(8), C4016001. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000815
  36. Venuti, F.V., Racic, V. and Corbetta, A. (2016), "Modelling framework for dynamic interaction between multiple pedestrians and vertical vibrations of footbridges", J. Sound Vib., 379, 245-263. https://doi.org/10.1016/j.jsv.2016.05.047
  37. Wang, X., Gao, X.Z. and Zenger, K. (2015), An Introduction to Harmony Search Optimization Method, SpringerBriefs in Applied Sciences and Technology, Dordrecht, The Netherlands.
  38. Wang, Z. and Chen, W. (2017), "Confidence-based adaptive extreme response surface for time-variant reliability analysis under random excitation", Struct. Saf., 64, 76-86. https://doi.org/10.1016/j.strusafe.2016.10.001
  39. Weber, F., Feltrin, G. and Hult, O. (2006), Guidelines for structural control, Structural Engineering Research Laboratory, Swiss Federal Laboratories for Materials Testing and Research, Dubendorf, Switzerland.
  40. Zang C., Friswell M.I. and Mottershead J.E. (2005), "A review of robust optimal design and its application in dynamics", Comput. Struct., 83, 315-326. https://doi.org/10.1016/j.compstruc.2004.10.007
  41. Zivanovic, S., Pavic A. and Reynolds P. (2007), "Finite element modelling and updating of a lively footbridge: The complete process", Eng. Struct., 301(1-2), 126-145.

피인용 문헌

  1. Improvement of dynamic responses of a pedestrian bridge by utilizing decorative wind chimes vol.30, pp.3, 2020, https://doi.org/10.12989/was.2020.30.3.317