Damping analysis of beams submitted to passive and active control

Engineering Structures

Volumn 31, Issue 2, 2009, Pages 322-331

  Boudaoud, H ^a,b   Daya, E M ^a   Belouettar, S ^b   Duigou, L ^c   Potier Ferry, M ^a  

^a UNIVERSITÉ DE LORRAINE   (France)

^b LUXEMBOURG INSTITUTE OF SCIENCE AND TECHNOLOGY   (Luxembourg)

^c Lab Genie Mecan et Mat   (France)

Author keywords

Active control; Damping; Modal approach; Piezoelectric; Sandwich; Vibrations

Indexed keywords

CONTROL SYSTEM ANALYSIS; CONTROL THEORY; DAMPING; ELECTRIC FIELDS; ELECTRIC LOSSES; PIEZOELECTRICITY;

ACTIVE CONTROL; MODAL APPROACH; PIEZOELECTRIC; SANDWICH; VIBRATIONS;

FINITE ELEMENT METHOD;

CONTROL SYSTEM; DAMPING; FINITE ELEMENT METHOD; NUMERICAL METHOD; STRUCTURAL COMPONENT; VIBRATION;

EID: 57749193511     PISSN: 01410296     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engstruct.2008.08.009     Document Type: Article

References (38)

1. Kerwin E.M. Damping of flexural waves by a constrained viscoelastic layer. J Acoust Soc Am 31 7 (1959) 952-962
2. Ross D., Ungar E., and Kerwin E.M. Damping of plate flexural vibrations by means of viscoelastic laminae. In: Ruzicka J.E. (Ed). Structural damping (1959)
3. Ambartsumian S.A. On a theory of bending of anisotropic plates. Prikl Mat Mekh 22 (1958) 226-237
4. Carrera E. Historical review of zig-zag theories for multilayered plates and shells. Appl Mech Rev 56 (2003) 287-308
5. Hu H., Belouettar S., Potier-Ferry M., and Daya E.M. Review and assessment of various theories for modeling sandwich composites. Compos Struct 84 3 (2008) 282-292
6. Soni M.L. Finite element analysis of viscoelastically damped sandwich structures. Shock Vibration Bull 55 1 (1981) 97-109
7. Bathe K.J. Finite element procedures in engineering analysis (1982), Prentice-Hall, NJ
8. Rikards R., Chate A., and Barkanov E. Finite element analysis of damping the vibrations of laminated composites. Comput Struct 47 6 (1993) 1005-1015
9. Chen X., Chen H.L., and Hu Le. Damping prediction of sandwich structures by order-reduction-iteration approach. J Sound Vibration 222 5 (1999) 803-812
10. Daya E.M., and Potier-Ferry M. A numerical method for nonlinear eigenvalue problems: Application to vibrations of viscoelastic structures. Comput Struct 79 (2001) 533-541
11. Duigou L., Daya E.M., and Potier-Ferry M. Iterative algorithms for non-linear eigenvalue problems. Application to vibrations of viscoelastic shells. Comput Methods Appl Mech Eng 192 (2003) 1323-1335
12. Rao S.S., and Sunar M. Recent advances in sensing and control of flexible structures via piezoelectric material technology. Appl Mech Rev 52 (1999) 1-16
13. Nakra B.C. Vibration control with viscoelastic materials. Shock Vibration Digest 8 (1976) 3-12
14. Nakra B.C. Vibration control with viscoelastic materials-ii. Shock Vibration Digest 13 (1981) 17-20
15. Nakra B.C. Vibration control with viscoelastic materials-iii. Shock Vibration Digest 16 (1984) 17-22
16. Torvik PJ. The analysis and design of constrained layer damping treatments. In: Proceedings. ASME winter annual meeting. Damping applications for vibration control. 1980. p. 85-112
17. Mead D.J. A comparison of some equations for the flexural vibration of damped sandwich beams. J Sound Vibration 83 (1982) 363-377
18. Lee C.K. Theory of laminated piezoelectric plates for the design of distributed sensors/actuators. Part i: Governing equations and reciprocal relationships. J Acoust Am Soc 87 (1990) 1144-1158
19. Crawley E.F., and Lazarus K.B. Induced strain actuation of isotropic and anisotropic plates. Amer Institute Aeronaut Astronaut 29 6 (1991) 944-951
20. Preumont A. Vibration control of active structures (1997), Kluwer Academic Publishers, Dordrecht
21. Kapuria S., Ahmed A., and Dumir P.C. An efficient coupled zigzag theory for dynamic analysis of piezoelectric composite and sandwich beams with damping. J Sound Vibration 279 (2005) 345-371
22. Maurini C., Pouget J., and dell'Isola F. On a model of layered piezoelectric beams including transverse stress effect. Internat J Solids Structures 41 (2004) 4473-4502
23. Liew K.M., He X.Q., and Kitipornchai S. Finite element method for the feedback control of fgm shells in the frequency domain via piezoelectric sensors and actuators. Comput Methods Appl Mech Eng 193 (2004) 257-273
24. Park C.H., and Baz A. Vibration control of bending modes of plates using active constrained layer damping. J Sound Vibration 227 (1999) 711-734
25. Varadan V.V., Lim Y.H., and Varadan V.K. Closed loop finite-element modeling of active/passive damping in structural vibration control. Smart Mater Struct 227 5 (1996) 685-694
26. Balamurugan V., and Narayanan S. Finite element formulation and active vibration control study on beams using smart constrained layer damping (scld) treatment. J Sound Vibration 249 (2002) 227-250
27. Ray M.C., and Reddy J.N. Active control of laminated cylindrical shells using piezoelectric fiber reinforced composites. Compos Sci Technol 65 (2005) 1226-1236
28. Vasques C.M.A., and Dias Rodrigues J. Combined feedback/feedforward active control of vibration of beams with ACLD treatments: Numerical simulation. Comput Struct 86 3-5 (2008) 292-306
29. Heyliger P., and Brooks S. Exact solutions for laminated piezoelectric plates in cylindrical bending. J Appl Mech 63 (1996) 903-910
30. Vel S., Mewer R.C., and Batra R.C. Analytical solution for the cylindrical bending vibration of piezoelectric composite plates. Internat J Solids Structures 41 (2004) 1625-1643
31. Cupial P., and Niziol J. Vibration and damping analysis of three-layered composite plate with viscoelastic mid-layer. J Sound Vibration 183 1 (1995) 99-114
32. Franco Correia V.M., Aguia Gomes A.M., and Suleman A. Modelling and design of adaptive composite structures. Comput Methods Appl Mech Eng 185 (2000) 325-346
33. Duigou L., Daya E.M., and Potier-Ferry M. Equivalent stiffness and damping of sandwich piezoelectric beams submitted to active control. Smart Mater Struct 15 (2006) 623-630
34. ABAQUS Standard. Version 5.8 (1998), Hibbitt, Karlsson & Sorensen, Inc., Pawtucket, RI
35. De J.F., Galucio A.C., and Ohayon R. Dynamic responses of flexible-link mechanisms with passive/active damping treatment. Comput Struct 86 3-5 (2008) 258-265
36. Gopinathan S.V., Varadan V.V., and Varadan V.K. A review and critique of theories for piezoelectric laminates. Smart Mater Struct 9 (2000) 24-48
37. Duigou L. Modélisation numérique de l'amortissement passif et actif des tôles sandwichs comportant des couches viscoélastiques ou piezoélectriques, Thesis, 2002
38. Rao D.K. Frequency and loss factor of sandwich beams under various boundary conditions. J Mech Eng Sci 20 5 (1978) 271-282