Non-linear free vibrations of Kelvin-Voigt visco-elastic beams

International Journal of Mechanical Sciences

Volumn 49, Issue 6, 2007, Pages 722-732

  Mahmoodi, S N ^a   Khadem, S E ^a   Kokabi, M ^a  

^a TARBIAT MODARES UNIVERSITY   (Iran)

Author keywords

Non linear free vibrations; Viscoelastic beam

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; CONTROL NONLINEARITIES; DAMPING; HINGES; NATURAL FREQUENCIES; VISCOELASTICITY;

HINGED-HINGED BEAM; NON-LINEAR FREE VIBRATIONS; VISCOELASTIC BEAMS;

LATTICE VIBRATIONS;

EID: 33847618871     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijmecsci.2006.10.005     Document Type: Article

References (33)

1. Bar-Cohen Y. Electro active polymer (EPA) actuators as artificial muscles, reality, potential, and challenges (2001), SPIE Press
2. Horr A.M., and Schmidt L.C. Modeling of non-linear damping characteristics of a viscoelastic structural damper. Engineering Structures 18 (1996) 154-161
3. Suire G., and Cederbaum G. Periodic and chaotic behavior of viscoelastic non-linear (elastica) bars under harmonic excitations. International Journal of Mechanical Sciences 37 (1995) 753-772
4. Argyris J., Belubekian V., Ovakimyan N., and Minasyan M. Chaotic vibrations of a nonlinear viscoelastic beam. Chaos, Solitons & Fractals 7 (1996) 151-163
5. Beldica C.E., and Hilton H.H. Nonlinear viscoelastic beam bending with piezoelectric control-analytical and computational simulations. Composite Structures 51 (2001) 195-203
6. Crespo da Silva M.R.M., and Glynn C.C. Nonlinear flexural-flexural-torsional dynamics of inextensional beams. I. Equations of motion. Journal of Structural Mechanics 6 (1978) 437-448
7. Crespo da Silva M.R.M., and Glynn C.C. Nonlinear flexural-flexural-torsional dynamics of inextensional beams. II. Forced motions. Journal of Structural Mechanics 6 (1978) 449-461
8. Crespo da Silva M.R.M. Non-linear flexural-flexural-torsional-extensional dynamics of beams-I. Formulation. International Journal of Solids Structures 24 (1988) 1225-1234
9. Crespo da Silva M.R.M. Non-linear flexural-flexural-torsional-extensional dynamics of beams-II. Response analysis. International Journal of Solids Structures 24 (1988) 1235-1242
10. Crespo da Silva M.R.M. Equations for nonlinear analysis of 3D motions of beams. Applied Mechanics Reviews 44 (1991) s51-s59
11. Nayfeh A.H., and Nayfeh S.A. On non-linear modes of continuous systems. Journal of Vibration and Acoustics 116 (1994) 129-136
12. Nayfeh A.H., Chin C., and Nayfeh A.S. Nonlinear normal modes of a cantilever beam. Journal of Vibration and Acoustics 117 (1995) 477-481
13. Nayfeh A.H., and Nayfeh S.A. Nonlinear normal modes of a continuous system with quadratic nonlinearities. Journal of Vibration and Acoustics 117 (1995) 199-207
14. Pakdemirli M., and Nayfeh A.H. Nonlinear vibrations of a beam-spring-mass system. Journal of Vibration and Acoustics 116 (1994) 433-439
15. Nayfeh A.H., Nayfeh J.F., and Mook D.T. On methods for continuous systems with quadratic and cubic nonlinearities. Nonlinear Dynamics 3 (1992) 145-162
16. Chin C., and Nayfeh A.H. Three-to-one internal resonances in parametrically excited hinged-clamped beams. Nonlinear Dynamics 20 (1999) 131-158
17. Chin C., and Nayfeh A.H. Three-to-one internal resonances in hinged-clamped beams. Nonlinear Dynamics 12 (1997) 129-154
18. Queini S.S., and Nayfeh A.H. Single-mode control of a cantilever beam under principal parametric excitation. Journal of Sound and Vibration 224 (1999) 33-47
19. Queini S.S., Nayfeh A.H., and Pratt J.R. A nonlinear vibration absorber for flexible structures. Nonlinear Dynamics 15 (1998) 259-288
20. Pratt J.R., Queini S.S., and Nayfeh A.H. A terfenol-d nonlinear vibration absorber. SPIE 3041 (1997) 56-66
21. Bratosin D., and Sireteanu T. Hysteretic damping modeling by nonlinear Kelvin-Voigt model. Proceeding of the Romanian Academy, Series A 3 (2002) 1-6
22. Dalenbring M. Validation of estimated isotropic viscoelastic material properties and vibration response prediction. Journal of Sound and Vibration 256 (2003) 269-287
23. Dalenbring M. Experimental material damping estimation for planar isotropic laminate structures. International Journal of Solids and Structures 39 (2002) 5053-5079
24. Ruta R., and Wojcicki Z. Sensivity analysis applied to a dynamic railroad model. Journal of Sound and Vibration 266 (2003) 1-13
25. Hou Z., and Zu J.W. Nonlinear free oscillations of moving viscoelastic belts. Mechanism and Machine Theory 37 (2002) 925-940
26. Zhu S., Weng X., and Chen G. Modeling of the stiffness of elastic body. Journal of Sound and Vibration 262 (2003) 1-9
27. Leung A.Y.T., Zhu B., Zheng J., and Yang H. Two-dimensional viscoelastic vibration by analytic Fourier p-elements. Thin-Walled Structures 41 (2003) 1159-1170
28. Mahmoodi S.N., Khadem S.E., and Rezaee M. Analysis of non-linear modes shapes and natural frequencies of continuous damped systems. Journal of Sound and Vibration 275 (2004) 283-298
29. Love A.E.H. A treatise on the mathematical theory of elasticity (1944), Dover Publications
30. Meirovitch L. Analytical methods in vibrations (1967), Macmillan Publishing Co., Inc.
31. Nayfeh A.H. Perturbation methods (1973), Wiley, New York
32. Nayfeh A.H., and Mook D.T. Non-linear oscillations (1979), Wiley, New York
33. Kevorkian J., and Cole J.D. Perturbation methods in applied mathematics (1981), Springer, Berlin