Combined feedback/feedforward active control of vibration of beams with ACLD treatments: Numerical simulation

Computers and Structures

Volumn 86, Issue 3-5, 2008, Pages 292-306

  Vasques, C M A ^a   Dias Rodrigues, J ^a  

^a UNIVERSITY OF PORTO   (Portugal)

Author keywords

Adaptive beam; Control; Feedback; Feedforward; Piezoelectric; Vibration; Viscoelastic

Indexed keywords

COMPUTER SIMULATION; CONTROL SYSTEMS; FEEDBACK CONTROL; FINITE ELEMENT METHOD; LAPLACE TRANSFORMS; VISCOELASTICITY; VOLTAGE CONTROL;

ADAPTIVE BEAMS; CONSTRAINED LAYER DAMPING (ACLD) TREATMENTS; SINGLE-INPUT SINGLE-OUTPUT (SISO);

ALUMINUM BEAMS AND GIRDERS;

EID: 38949169583     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2007.01.027     Document Type: Article

References (45)

1. Baz A. Active constrained layer damping. In: Proceedings of Damping'93, San Francisco, CA, USA, vol. 3, 1993. p. IBB 1-23.
2. Park C.H., and Baz A. Vibration damping and control using active constrained layer damping: a survey. Shock Vib. Digest 31 5 (1999) 355-364
3. Benjeddou A. Advances in hybrid active-passive vibration and noise control via piezoelectric and viscoelastic constrained layer treatments. J. Vib. Control 7 4 (2001) 565-602
4. Stanway R., Rongong J.A., and Sims N.D. Active constrained-layer damping: a state-of-the-art review. Proceedings of the Institution of Mechanical Engineers. Part I. J Syst Control Eng 217 6 (2003) 437-456
5. Meirovitch L. Dynamics and control of structures (1990), John Wiley & Sons, New York
6. Nelson P.A., and Elliott S.J. Active control of sound (1993), Academic Press, London
7. Fuller C.R., Elliott S.J., and Nelson P.A. Active control of vibration (1996), Academic Press, London
8. Clark R.L., Saunders W.R., and Gibbs G.P. Adaptive structures: dynamics and control (1998), John Wiley & Sons, New York
9. Hansen C.H., and Snyder S.D. Active control of noise and vibration (1997), E&FN Spon, London
10. Elliott S.J. Signal processing for active control (2001), Academic Press, San Diego, CA
11. Alkhatib R., and Golnaraghi M.F. Active structural vibration control: a review. Shock and Vibration Digest 35 5 (2003) 367-383
12. Poh S., Baz A., and Balachandran B. Experimental adaptive control of sound radiation from a panel into an acoustic cavity using active constrained layer damping. Smart Mater Struct 5 5 (1996) 649-659
13. Illaire H. A study of active-passive damping treatments. PhD thesis, Department of Applied Acoustics, Chalmers University of Technology, Göteborg, Sweden, 2004.
14. Vasques C.M.A., and Dias Rodrigues J. Adaptive feedforward control of vibration of a beam with active-passive damping treatments: numerical analysis and experimental implementation. 16th International conference on adaptive structures and technologies, 9-12 October 2005 (2006), DEStech Publications 255-262
15. Saunders W.R., Robertshaw H.H., and Burdisso R.A. An evaluation of feedback, adaptive feedforward and hybrid controller designs for active structural control of a lightly-damped structure. 2nd Conference on recent advances in active control of sound and vibration (1993), Technomic Press, Blacksburg, VA, USA 339-354
16. Clark R.L. Hybrid autonomous control approach. J Dynam Syst Measur Control 117 2 (1995) 232-240
17. De Man P., and Preumont A. Hybrid feedback-feedforward control for vibration suppression. J Struct Control 3 1-2 (1996) 33-34
18. Preumont A, De Man P, Carme C, Derrien D. Hybrid feedback-feedforward control for noise and vibration suppression. In: International conference on noise and vibration engineering, Leuven, Belgium, 1996.
19. Saunders W.R., Robertshaw H.H., and Burdisso R.A. A hybrid structural control approach for narrow-band and impulsive disturbance rejection. Noise Control Eng J 44 1 (1996) 11-21
20. Vasques CMA, Mace BR, Gardonio P, Dias Rodrigues J. Analytical formulation and finite element modelling of beams with arbitrary active constrained layer damping treatments. Institute of Sound and Vibration Research, Technical Memorandum TM934; 2004.
21. Vasques C.M.A., Mace B.R., Gardonio P., and Dias Rodrigues J. Arbitrary active constrained layer damping treatments on beams: finite element modelling and experimental validation. Comput Struct 84 22-23 (2006) 1384-1401
22. Nye J.F. Physical properties of crystals: their representation by tensors and matrices (1957), Clarendon Press, Oxford
23. The Institute of Electrical and Electronics Engineers, Inc. (IEEE). Standard on Piezoelectricity. ANSI/IEEE Std 176-1987, 1988.
24. Krommer M., and Irschik H. On the influence of the electric field on free transverse vibrations of smart beams. Smart Mater Struct 8 3 (1999) 401-410
25. Vasques C.M.A., and Rodrigues J.D. Coupled three-layered analysis of smart piezoelectric beams with different electric boundary conditions. Int J Numer Methods Eng 62 11 (2005) 1488-1518
26. Tiersten H.F. Linear piezoelectric plate vibrations (1969), Plenum Press, New York
27. Reddy J.N. An introduction to the finite element method (1984), McGraw-Hill, New York
28. Vasques CMA. Modelização do Controlo Activo de Vibrações de Vigas com Sensores e Actuadores Piezoeléctricos. MSc thesis, Faculdade de Engenharia da Universidade do Porto, Porto, Portugal, 2003 [in Portuguese].
29. Christensen R.M. Theory of viscoelasticity: an introduction. 2nd ed. (1982), Academic Press, New York
30. Nashif A., Jones D., and Henderson J. Vibration damping (1985), John Wiley & Sons, New York
31. Jones D.I.G. Handbook of viscoelastic vibration damping (2001), John Wiley & Sons, Chichester
32. Moreira R., and Rodrigues J.D. Constrained damping layer treatments: finite element modeling. J Vib Control 10 4 (2004) 575-595
33. Lesieutre G.A., and Bianchini E. Time domain modeling of linear viscoelasticity using anelastic displacement fields. J Vib Acoust 117 4 (1995) 424-430
34. Lesieutre G.A., Bianchini E., and Maiani A. Finite element modeling of onedimensional viscoelastic structures using anelastic displacement fields. J Guidance Control Dynam 19 3 (1996) 520-527
35. Lesieutre G.A. Finite elements for dynamic modeling of uniaxial rods with frequency dependent material properties. Int J Solids Struct 29 12 (1992) 1567-1579
36. Trindade M.A., Benjeddou A., and Ohayon R. Modeling of frequency-dependent viscoelastic materials for active-passive vibration damping. J Vib Acoust 122 2 (2000) 169-174
37. Burl J.B. Linear optimal control (1999), Addison-Wesley, California
38. Kwakernaak H., and Sivan R. Linear optimal control systems (1972), John Wiley & Sons, New York
39. Balas M.J. Feedback control of flexible systems. IEEE Trans Automat Control AC-23 4 (1978) 673-679
40. Lam M.J., Inman D.J., and Saunders W.R. Hybrid damping models using the Golla-Hughes-McTavish method with internally balanced model reduction and output feedback. Smart Mater Struct 9 3 (2000) 362
41. Bouc R, Friot E. Contrôle optimal par retroaction du rayonnement d'une plaque munie de capteurs et d'actionneurs piézo-électriques non colocalisés. In: 2eme Colloque GDR Vibroacoustique. Marseille, France, 1996. p. 229-48.
42. Vasques C.M.A., and Dias Rodrigues J. Active vibration control of smart piezoelectric beams: comparison of classical and optimal feedback control strategies. Comput Struct 84 22-23 (2006) 1402-1414
43. Widrow B., and Stearns S.D. Adaptive signal processing (1985), Prentice-Hall, Englewood Cliffs, NJ
44. Haykin S.S. Adaptive filter theory. 4th ed. (2001), Prentice-Hall, Upper Saddle River, NJ
45. 3M. Scotchdamp Vibration Control Systems: Product Information and Performance Data. 3M Industrial Tape and Specialties Division, St. Paul, MN, USA, 1993.