DOI QR코드

DOI QR Code

Active tendon control of suspension bridges

  • Preumont, Andre (Active Structures Laboratory, Universite Libre de Bruxelles (ULB)) ;
  • Voltan, Matteo (Department of Mechanical Engineering, Polytecnico di Milano) ;
  • Sangiovanni, Andrea (Department of Mechanical Engineering, Polytecnico di Milano) ;
  • Mokrani, Bilal (Active Structures Laboratory, Universite Libre de Bruxelles (ULB)) ;
  • Alaluf, David (Active Structures Laboratory, Universite Libre de Bruxelles (ULB))
  • Received : 2015.09.26
  • Accepted : 2016.05.04
  • Published : 2016.07.25

Abstract

The paper first reviews the theory of active tendon control with decentralized Integral Force Feedback (IFF) and collocated displacement actuator and force sensor; a formal proof of the formula giving the maximum achievable damping is provided for the first time. Next, the potential of the control strategy for the control of suspension bridges with active stay cables is evaluated on a numerical model of an existing footbridge; several configurations are investigated where the active cables connect the pylon to the deck or the deck to the catenary. The analysis confirms that it is possible to provide a set of targeted modes with a considerable amount of damping, reaching ${\xi}=15%$. Finally, the control strategy is demonstrated experimentally on a laboratory mock-up equipped with four control stay cables equipped with piezoelectric actuators. The experimental results confirm the excellent performance and robustness of the control system and the very good agreement with the predictions.

Keywords

References

  1. Achkire, Y. and Preumont, A. (1996), "Active tendon control of cable-stayed bridges", Earthq. Eng. Struct. D., 25(6), 585-597. https://doi.org/10.1002/(SICI)1096-9845(199606)25:6<585::AID-EQE570>3.0.CO;2-I
  2. Achkire, Y. and Preumont, A. (1998), "Optical measurement of cable and string vibration", J. Shock Vib., 5(3), 171-179. https://doi.org/10.1155/1998/387973
  3. Achkire, Y., Bossens, F. and Preumont, A. (1998), "Active damping and flutter control of cable-stayed bridges", J. Wind Eng. Ind. Aerod., 74, 913-921.
  4. Auperin, M. and Dumoulin, C. (2000), "Structural control: Point of view of a civil engineering company in the field of cable-supported structures", Proceedings of the 3rd International Workshop on Structural Control, Paris, France, July.
  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. Bossens, F. and Preumont, A. (2001), "Active tendon control of cable-stayed bridges: a large-scale demonstration", Earthq. Eng. Struct. D., 30(7), 961-979. https://doi.org/10.1002/eqe.40
  7. Caetano, E., Cunha, A., Moutinho, C. and Magalhaes, F. (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
  8. Cannon, R.H. and Rosenthal, D.E. (1984), "Experiments in control of flexible structures with noncolocated sensors and actuators", J. Guid. Control Dynam., 7(5), 546-553. https://doi.org/10.2514/3.19893
  9. 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
  10. Costa, A.P.D., Martins, J.A.C., Branco, F. and Lilien, J.L. (1996), "Oscillations of bridge stay cables induced by periodic motions of deck and/or towers", J. Eng. Mech. - ASCE, 122(7), 613-622. https://doi.org/10.1061/(ASCE)0733-9399(1996)122:7(613)
  11. Fujino, Y. and Susumpow, T. (1994), "An experimental study on active control of in-plane cable vibration by axial support motion", Earthq. Eng. Struct. D., 23(12), 1283-1297. https://doi.org/10.1002/eqe.4290231202
  12. Fujino, Y., Warnitchai, P. and Pacheco, B.M. (1993), "Active stiffness control of cable vibration", J. Appl. Mech. -T ASME, 60(4), 948-953. https://doi.org/10.1115/1.2901006
  13. Gentile, C. (2014), Personal communication, Politecnico di Milano, Civil Engineering Department.
  14. Lilien, J.L. and Costa, A.P.D. (1994), "Vibration amplitudes caused by parametric excitation of cable stayed structures", J. Sound Vib., 174(1), 69-90. https://doi.org/10.1006/jsvi.1994.1261
  15. Liu, S.C., Tomizuka, M. and Ulsoy, A.G. (2005), "Challenges and opportunities in the engineering of intelligent systems", Smart Struct. Syst., 1(1), 1-12. https://doi.org/10.12989/sss.2005.1.1.001
  16. Nayfeh, A.H. and Mook, D.T. (1979), Non Linear Oscillations, Wiley, New York, NY, USA.
  17. Pacheco, B.M., Fujino, Y. and Sulekh, A. (1993), "Estimation curve for modal damping in stay cables with viscous damper", J. Struct. Eng. - ASCE,119(6), 1961-1979. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:6(1961)
  18. Preumont, A. (2011), Vibration Control of Active Structures, An Introduction, (3rd Ed.), Springer.
  19. Preumont, A. and Achkire, Y. (1997), "Active damping of structures with guy cables", J. Guid. Control Dynam., 20(2), 320-326. https://doi.org/10.2514/2.4040
  20. Preumont, A. and Bossens, F. (2000), "Active tendon control of vibration of truss structures: Theory and experiments", J. Intel. Mat. Syst. Str., 11(2), 91-99. https://doi.org/10.1177/104538900772664288
  21. Preumont, A., Achkire, Y. and Bossens, F. (2000), "Active tendon control of large trusses", AIAA J., 38(3), 493-498. https://doi.org/10.2514/2.987
  22. Preumont, A., Dufour, J.P. and Malekian, C. (1992), "Active damping by a local force feedback with piezoelectric actuators", J. Guid. Control Dynam., 15(2), 390-395. https://doi.org/10.2514/3.20848
  23. Sangiovanni, A. and Voltan, M. (2015), "Active tendon control of suspension bridges", MSc Thesis, Politecnico di Milano, Department of Mechanical Engineering, Milano.
  24. Tubino, F. and Piccardo, G. (2014), "Tuned mass damper optimization for the mitigation of human-induced vibrations of pedestrian bridges", Meccanica, 50(3), 809-824.
  25. Van Nimmen, K., Lombaert, G., De Roeck, G. and Van den Broeck, P. (2014), "Vibration serviceability of footbridges: Evaluation of the current codes of practice", Eng. Struct., 59, 448-461. https://doi.org/10.1016/j.engstruct.2013.11.006
  26. Warnitchai, P., Fujino, Y., Pacheco, B.M. and Agret, R. (1993), "An experimental study on active tendon control of cable-stayed bridges", Earthq. Eng. Struct. D., 22(2), 93-111. https://doi.org/10.1002/eqe.4290220202
  27. Yang, J.N. and Giannopoulos, F. (1979a), "Active control and stability of cable-stayed bridge", J. Eng. Mech. Div., 105(4), 677-694.
  28. Yang, J.N. and Giannopoulos, F. (1979b), "Active control of two-cable-stayed bridge", J. Eng. Mech. Div., 105(5), 795-810.

Cited by

  1. Passive damping of suspension bridges using multi-degree of freedom tuned mass dampers vol.153, 2017, https://doi.org/10.1016/j.engstruct.2017.10.028
  2. Damage Detection in Active Suspension Bridges: An Experimental Investigation vol.18, pp.9, 2018, https://doi.org/10.3390/s18093002
  3. Active tendon control of suspension bridges: Study on the active cables configuration vol.19, pp.5, 2016, https://doi.org/10.12989/sss.2017.19.5.463
  4. Modal flexibility based damage detection for suspension bridge hangers: A numerical and experimental investigation vol.23, pp.1, 2016, https://doi.org/10.12989/sss.2019.23.1.015
  5. optimization of an integral force feedback controller vol.25, pp.17, 2019, https://doi.org/10.1177/1077546319853165
  6. Review on the use of piezoelectric materials for active vibration, noise, and flow control vol.29, pp.5, 2016, https://doi.org/10.1088/1361-665x/ab7541
  7. Optimizing tuned mass damper parameters to mitigate the torsional vibration of a suspension bridge under pulse-type ground motion: A sensitivity analysis vol.26, pp.11, 2016, https://doi.org/10.1177/1077546319891591
  8. Experimental and Numerical Study on Dynamics of Two Footbridges with Different Shapes of Girders vol.10, pp.13, 2016, https://doi.org/10.3390/app10134505
  9. A Smart Tower Crane to Mitigate Turbulent Wind Loads vol.31, pp.1, 2016, https://doi.org/10.1080/10168664.2019.1668334
  10. A new active vibration control method on a ladder of turntable ladders vol.35, pp.6, 2016, https://doi.org/10.1007/s12206-021-0506-3
  11. The shock absorption efficiency of the newly developed neutral equilibrium mechanism in building vol.23, pp.4, 2021, https://doi.org/10.21595/jve.2021.21669
  12. Improved integral force feedback controllers for lightweight flexible structures vol.28, pp.1, 2016, https://doi.org/10.1177/1077546320974549