Tendon Control of Cable Structures

Chapter
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 246)

Abstract

The chapter begins with a discussion of the mechanisms involved in the active tendon control of strings and cables; the Integral Force Feedback (IFF with collocated actuator/sensor pairs) is then applied and confirmed by a basic experiment, even at the parametric resonance. Next, the linear theory of the decentralized active damping of cable structures with IFF is developed and closed-loop analytical results are established; the Beta controller is introduced to recover the static stiffness of the cables. The analytical results are confirmed by a set of experiments on a guyed truss and on a space truss representative of an interferometer. Next, a laboratory mock-up representative of a cable-stayed bridge during its construction phase is used to study the control of the parametric resonance of uncontrolled stay cables. A successful large scale experiment conducted on a mock-up of 30 m controlled with hydraulic actuators is also described. The final part of the chapter is devoted to the active damping of suspension bridges using active stay cables; it is applied numerically to the model of a pedestrian bridge and confirmed experimentally on a laboratory mock-up. The chapter concludes with a list of references.

Keywords

Cable structures Tendon control String Cable Integral Force Feedback (IFF) Beta controller Guyed truss Cable-stayed bridge Parametric resonance Pedestrian bridge Suspension bridge 

References

  1. 1.
    Achkire Y (1997) Active tendon control of cable-stayed bridges. Ph.D. thesis, Université Libre de Bruxelles, Active Structures LaboratoryGoogle Scholar
  2. 2.
    Achkire Y, Preumont A (1996) Active tendon control of cable-stayed bridges. Earthq Eng Struct Dyn 25(6):585–597CrossRefGoogle Scholar
  3. 3.
    Achkire Y, Preumont A (1998) Optical measurement of cable and string vibration. Shock Vib 5:171–179CrossRefGoogle Scholar
  4. 4.
    Auperin M, Dumoulin C (2001) Structural control: Point of view of a civil engineering company in the field of cable-supported structures. In: Proceedings of the third international workshop on structural control (Paris 6–8 July 2000) (Casciati F, Magonette G (eds) Structural control for civil and infrastructure engineering. World Scientific Publishing)Google Scholar
  5. 5.
    Bossens F (2001) Contrôle Actif des Structures Câblées: de la Théorie à l’Implémentation. Ph.D. thesis, Université Libre de Bruxelles, Active Structures LaboratoryGoogle Scholar
  6. 6.
    Bossens F, Preumont A (2001) Active tendon control of cable-stayed bridges: a large-scale demonstration. Earthq Eng Struct Dyn 30:961–979CrossRefGoogle Scholar
  7. 7.
    Chen J-C (1984) Response of large space structures with stiffness control. AIAA J Spacecr 21(5):463–467CrossRefGoogle Scholar
  8. 8.
    de Marneffe B (2007) Active and passive vibration isolation and damping via shunted transducers. Ph.D. thesis, Université Libre de Bruxelles, Active Structures LaboratoryGoogle Scholar
  9. 9.
    Fujino Y, Susumpow T (1994) An experimental study on active control of planar cable vibration by axial support motion. Earthq Eng Struct Dyn 23:1283–1297CrossRefGoogle Scholar
  10. 10.
    Fujino Y, Warnitchai P, Pacheco BM (1993) Active stiffness control of cable vibration. ASME J Appl Mech 60:948–953CrossRefGoogle Scholar
  11. 11.
    Fung YC (1969) An introduction to the theory of aeroelasticity. Dover, New YorkGoogle Scholar
  12. 12.
    Gentile C (2014) Politecnico di Milano. Civil Engineering Department, Personal communicationGoogle Scholar
  13. 13.
    Lilien J-L, Pinto da Costa A (1994) Vibration amplitudes caused by parametric excitation of cable-stayed structures. J Sound Vib 174:69–90CrossRefMATHGoogle Scholar
  14. 14.
    Nayfeh AH, Mook DT (1979) Nonlinear oscillations. Wiley, New YorkMATHGoogle Scholar
  15. 15.
    Neat GW, Abramovici A, Melody JM, Calvet RJ, Nerheim NM, O’brien JF (1997) Control technology readiness for spaceborne optical interferometer missions, proceedings SMACS-2, Toulouse, pp 13–32Google Scholar
  16. 16.
    Pinto da Costa A, Martins JAC, Branco F, Lilien J-L (1996) Oscillations of Bridge stay cables induced by periodic motion of deck and/or towers. J Eng Mech Div ASCE 122:613–622CrossRefGoogle Scholar
  17. 17.
    Preumont A, Achkire Y (1997) Active damping of structures with guy cables. AIAA J Guid Control Dyn 20(2):320–326CrossRefMATHGoogle Scholar
  18. 18.
    Preumont A, Achkire Y, Bossens F (2000) Active tendon control of large trusses. AIAA J 38(3):493–498CrossRefGoogle Scholar
  19. 19.
    Preumont A, Bossens F (2000) Active tendon control of vibration of truss structures: theory and experiments. J Intell Mater Syst Struct 2(11):91–99CrossRefGoogle Scholar
  20. 20.
    Preumont A, Voltan M, Sangiovanni A, Bastaits R, Mokrani B, Alaluf D (2015) An investigation of the active damping of suspension bridges. Math Mech Complex Syst 3(4):385–406CrossRefMATHGoogle Scholar
  21. 21.
    Preumont A, Voltan M, Sangiovanni A, Mokrani B, Alaluf D (2016) Active tendon control of suspension bridges. J Smart Struct Syst 18(1):31–52CrossRefMATHGoogle Scholar
  22. 22.
    Sangiovanni A, Voltan M (2015) Active tendon control of suspension bridges. MSc thesis, Politecnico di Milano, department of mechanical engineeringGoogle Scholar
  23. 23.
    Scanlan RH, Tomko J (1974) Airfoil and bridge deck flutter derivatives. ASCE J Eng Mech Div 100:657–672Google Scholar
  24. 24.
    van Nimmen K, Lombaert G, de Roeck G, van den Broeck P (2014) Vibration serviceability of footbridges: evaluation of the current codes of practice. Eng Struct 59:448–461CrossRefGoogle Scholar
  25. 25.
    Warnitchai P, Fujino Y, Pacheco BM, Agret R (1993) An experimental study on active tendon control of cable-stayed bridges. Earthq Eng Struct Dyn 22(2):93–111CrossRefGoogle Scholar
  26. 26.
    Yang JN, Giannopoulos F (1979a) Active control and stability of cable-stayed bridge. ASCE J Eng Mech Div 105:677–694Google Scholar
  27. 27.
    Yang JN, Giannopoulos F (1979b) Active control of two-cable-stayed bridge. ASCE J Eng Mech Div 105:795–810Google Scholar

Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Active Structures LaboratoryUniversité Libre de BruxellesBrusselsBelgium

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