Nonlinear damping and forced vibration analysis of laminated composite beams

Composites Part B: Engineering

Volumn 43, Issue 3, 2012, Pages 1147-1154

  Youzera, Hadj ^a   Meftah, Sid Ahmed ^a   Challamel, Noël ^b   Tounsi, Abdelouahed ^a  

^a UNIVERSITY OF SIDI BEL ABBES   (Algeria)

^b UNIVERSITÉ EUROPÉENNE DE BRETAGNE   (France)

Author keywords

A. Carbon fibre; B. Vibration; C. Analytical modelling; C. Laminate mechanics

Indexed keywords

AMPLITUDE EQUATION; ANALYTICAL FORMULATION; B. VIBRATION; C. ANALYTICAL MODELLING; C. LAMINATE MECHANICS; COMPLEX COEFFICIENTS; FORCED VIBRATION; FREQUENCY-RESPONSE CURVES; GALERKIN; GEOMETRICALLY NONLINEAR; HARMONIC BALANCE METHOD; HIGHER ORDER; LAMINATED COMPOSITE BEAM; LARGE VIBRATIONS; MATERIAL PROPERTY; NONLINEAR DAMPING; NONLINEAR FREQUENCY; SIMPLY SUPPORTED BEAMS; SYMMETRIC LAMINATED; ZIGZAG THEORY;

CARBON FIBERS; COMPOSITE BEAMS AND GIRDERS; FREQUENCY RESPONSE; LAMINATED COMPOSITES; VIBRATION ANALYSIS;

DAMPING;

EID: 84858159278     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compositesb.2012.01.008     Document Type: Article

References (37)

1. R.F. Gibson, and R. Plunkett Dynamic stiffness and damping of reinforced composite material Shock Vib Dig 9 1977 9 17
2. R.F. Gibson, and D.G. Wilson Dynamic mechanical properties of fiber-reinforced composite materials Shock Vib Dig 11 1979 3 11
3. B.C. Nakra Vibration control with viscoelastic material, II Shock Vib Dig 13 1981 17 20
4. B.C. Nakra Vibration control with viscoelastic material, II Shock Vib Dig 16 1984 17 22
5. H. Heng, S. Belouatar, M. Poitier-Ferry, and E.M. Daya Review and assessment of various theories for modelling sandwich composites Compos Struct 84 2008 282 292
6. M.K. Rao Frequency and loss factors of sandwich beams under various bandary conditions J Mech Eng Sci 20 5 1978 271 282
7. R. Rikards Finite element analysis of vibration and damping of laminated composites Compos Struct 24 1993 193 204
8. A. Bhimaraddi Sandwich beam theory and the analysis of constrained layer damping J Sound Vib 179 1995 591 602
9. E.J. Kovac, W.J. Anderson, and R.A. Scott Forced non-linear vibration of damped sandwich beam J Sound Vib 17 1971 25 39
10. M.W. Hyer, W.J. Anderson, and R.A. Scott Nonlinear vibrations of three-layer beam with viscoelastic core I: Theory J Sound Vib 46 1976 121 136
11. M.W. Hyer, W.J. Anderson, and R.A. Scott Nonlinear vibrations of three-layer beam with viscoelastic core II: Experiment J. Sound Vib. 61 1978 25 30
12. S.A. Emam, and A.H. Nayfeh Postbuckling and free vibrations of composite beams Compos Struct 88 2009 636 642
13. S. Belouettar, L. Azrar, E.M. Daya, V. Laptev, and M. Potier Ferry Active control of nonlinear vibration of sandwich piezoelectric beams: a simplified approach Comput Struct 86 2008 386 397
14. E. Reissner The effect of transverse shear deformation on the bending of elastic plates ASME, J Appl Mech 12 1945 69 76
15. R.D. Mindlin Influence of rotatory inertia and shear in flexural motions of isotropic elastic plates J Appl Mech 18 1951 1031 1036
16. N.J. Pagano Exact solutions for composite laminates in cylindrical bending J Comput Mater 3 1969 398 411
17. S.P. Timoshenko On the transverse vibration of bars with uniform cross-section Philos Mag 43 1922 125 131
18. T.P. Khatua, and Y.K. Cheung Bending and vibration of multilayer sandwich beams and plates Int J Num Methods Eng 6 1973 11 24
19. K. Chandrashekhara, K. Krisnamurthy, and S. Roy Free vibration of composite beams including rotary inertia and shear deformation Compos Struct 14 1990 269 279
20. K.M. Liew, and Y.Q. Huang Bending and buckling of thick symmetric rectangular laminates using the moving least square differential quadrature method Int J Mech Sci 45 2003 95 114
21. Y.Q. Huang, and Q.S. Li Bending and buckling analysis of antisymmetric laminates using the moving least square differential quadrature method Comput Methods Appl Mech Eng 193 2004 3471 3492
22. J.N. Reddy A simple higher-order theory of laminated composite plate J Appl Mech 51 1984 745 752
23. M. Touratier An efficient standard plate theory Int J Eng Sci 529 1991 901 916
24. Afaq KS, Karama M, Mistou S. Un nouveau modle raffiné pour les structures multicouches. In Comptes rendues des 13éme journées nationales sur les composites. Strasbourg; 2003. p. 289-92.
25. M.K. Rao, and Y.M. Desai Analytical solution for vibrations of laminated and sandwich plates using mixed theory Compos Struct 63 2004 361 373
26. M.K. RaO, K. Scherbatiuk, Y.M. Deesai, and A.H. Shah Natural vibrations of laminated and sandwich plates J Eng Mech 130 2004 1268 1278
27. S. Kapuria, P.C. Dumir, and N.K. Jain Assessment of zig-zag theory for static loading, buckling, free and forced response of composite and sandwich beam Compos Struct 64 2004 317 327
28. P.A. Zinoviev, and Y.N. Ermakov Energy dissipation in composite materials 1994 Technomic Publishing Co., Inc. Lancaster (PA)
29. T.P. Marcelo, and H.C. Victor Linear viscoelastic analysis of straight and curved thin-walled laminated composite beams Int J Solids Struct 45 2008 3466 3493
30. H.M. Anastasia, and H.A. Rami A multi-scale framework for layered composites with thermo-rheologically complex behaviours Int J Solids Struct 45 2008 2937 2963
31. J.D.D. Melo, and D.W. Radford Viscoelastic characterization of transversely isotropic composite laminate J Compos Mater 37 2003 129 145
32. E.M. Daya, L. Azrar, and M. Poitier Ferry An amplitude equation for the non-linear vibration of viscoelastically damped sandwich beams J Sound Vib 271 2004 789 813
33. M. Bilasse, E.M. Daya, and L. Azrar Linear and nonlinear vibrations analysis of viscoelastic sandwich beams J Sound Vib 329 2010 4950 4969
34. J.N. Reddy A simplified higher-order theory for laminated composite plates J Appl Mech 51 1984 745 752
35. G. Shi, and G.Z. Voyiadjis A sixth-order theory of shear deformable beams with variational consistent boundary conditions J Appl Mech 78 2011 1 11 021019
36. N. Challamel Higher-order shear beam theories and enriched continuum Mech Res Commun 38 2011 388 392
37. MATLAB 7.1 2006 The MathWorks Inc. Natick (MA)