An experimental investigation of nonlinear vibration and frequency response analysis of cantilever viscoelastic beams

Journal of Sound and Vibration

Volumn 311, Issue 3-5, 2008, Pages 1409-1419

  Mahmoodi, S Nima ^a   Jalili, Nader ^a   Khadem, Siamak E ^b  

^a AMRL   (United States)

^b TARBIAT MODARES UNIVERSITY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EULER EQUATIONS; FREQUENCY RESPONSE; NONLINEAR ANALYSIS; VIBRATION CONTROL; VISCOELASTICITY;

KELVIN-VOIGT DAMPING; VISCOELASTIC EULER-BERNOULLI BEAM;

CANTILEVER BEAMS;

EID: 38749090492     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.09.027     Document Type: Article

References (28)

1. Mahmoodi S.N., Khadem S.E., and Jalili N. Theoretical development and closed-form solution of nonlinear vibrations of a directly excited nanotube-reinforced composite cantilever beam. Archive of Applied Mechanics 75 (2006) 153-163
2. S.N. Mahmoodi, N. Jalili, S.E. Khadem, Passive nonlinear vibrations of a directly excited nanotube-reinforced composite cantilever beam, Proceedings of 2005 ASME International Mechanical Engineering Congress & Exposition, Symposium on Vibration and Noise Control, Orlando, FL, November 2005.
3. Bailey T., and Hubbard Jr. J.E. Distributed piezoelectric polymer active vibration control of a cantilever beam. AIAA Journal of Guidance Control Dynamic 8 (1985) 605-611
4. Wang Q., and Quek S.T. Flexural vibration analysis of sandwich beam coupled with piezoelectric actuator. Smart Materials & Structures 9 (2000) 103-109
5. Bratosin D., and Sireteanu T. Hysteretic damping modeling by nonlinear Kelvin-Voigt model. Proceeding of the Romanian Academy Series A 3 (2002) 1-6
6. Esmailzadeh E., and Jalali M.A. Nonlinear oscillations of viscoelastic rectangular plates. Nonlinear Dynamics 18 (1999) 311-319
7. Arafat H.N., Nayfeh A.H., and Chin C. Nonlinear nonplanar dynamics of parametrically excited cantilever beams. Nonlinear Dynamics 15 (1998) 31-61
8. Crespo da Silva M.R.M. Nonlinear flexural-flexural-torsional-extensional dynamics of beams-I. Formulation. International Journal of Solid Structures 24 (1988) 1225-1234
9. Crespo da Silva M.R.M. Nonlinear flexural-flexural-torsional-extensional dynamics of beams-II. Response analysis. International Journal of Solid 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. 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
12. 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
13. Jalili N., and Esmailzadeh E. A nonlinear double-winged adaptive neutralizer for optimum structural vibration suppression. Journal of Communications in Nonlinear Science and Numerical Simulation 8 (2003) 113-134
14. Esmailzadeh E., and Jalili N. Parametric response of cantilever Timoshenko beams with tip mass under harmonic support motion. International Journal of Nonlinear Mechanics 33 (1998) 765-781
15. Nayfeh A.H., Chin C., and Nayfeh S.A. Nonlinear normal modes of a cantilever beam. ASME Journal of Vibration and Acoustics 117 (1995) 477-481
16. Arafat H.N., and Nayfeh A.H. Investigation of subcombination internal resonances in cantilever beams. Shock and Vibration 5 (1998) 289-296
17. Nayfeh A.H., and Nayfeh S.A. On nonlinear modes of continuous systems. ASME Journal of Vibration and Acoustics 116 (1994) 129-136
18. Shaw S.W., and Pierre C. Normal modes of vibration for nonlinear continuous systems. Journal of Sound and Vibration 169 (1994) 319-347
19. Mahmoodi S.N., Khadem S.E., and Rezaee M. Analysis of nonlinear mode shapes and natural frequencies of continuous damped systems. Journal of Sound and Vibration 275 (2004) 283-298
20. Chung J., and Yoo H.H. Dynamic analysis of a rotating cantilever beam by using the finite element method. Journal of Sound and Vibration 249 (2002) 147-164
21. Emam S.A., and Nayfeh A.H. Nonlinear response of buckled beams to subharmonic-resonance excitations. Nonlinear Dynamics 35 (2004) 105-122
22. Eissa M., and Amer Y.A. Vibration control of a cantilever beam subject to both external and parametric excitation. Applied Mathematics and Computation 152 (2004) 611-619
23. Kamel M.M., and Amer Y.A. Response of parametrically excited one degree of freedom system with nonlinear damping and stiffness. Physica Scripta 66 (2002) 410-416
24. H. Rajoria, N. Jalili, Determination of strength and damping characteristics of carbon nanotube-epoxy composites, Proceedings of 2004 ASME International Mechanical Engineering Congress & Exposition, Anaheim, CA, November 2004.
25. Rajoria H., and Jalili N. Passive vibration damping enhancement using carbon nanotube-epoxy reinforced composites. Composites Science and Technology Journal 65 (2005) 2079-2093
26. Avouris P., Hertel T., Martel R., Schmidt T., Shea H.R., and Walkup R.E. Carbon nanotubes: nanomechanics, manipulation and electronic devices. Applied Surface Science 141 (1999) 201-209
27. Nayfeh A.H., and Balachandran B. Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods (1995), Wiley, New York
28. Nayfeh A.H. Perturbation Methods (1973), Wiley, New York