Passive nonlinear vibrations of a directly excited nanotube-reinforced composite cantilever beam

American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC

Volumn 74 DSC, Issue 2 PART B, 2005, Pages 1913-1920

  Mahmoodi, S N ^a   Jalili, Nader ^a   Khadem, S E ^b  

^a AMRL   (United States)

^b TARBIAT MODARES UNIVERSITY   (Iran)

Author keywords

CNT reinforced composite beams; Frequency response function; Kelvin Voigt damping model; Method of multiple scales; Nonlinear vibration of inextensible cantilever beams

Indexed keywords

CNT-REINFORCED COMPOSITE BEAMS; FREQUENCY RESPONSE FUNCTION; KELVIN-VOIGT DAMPING MODEL; METHOD OF MULTIPLE SCALES; NONLINEAR VIBRATION OF INEXTENSIBLE CANTILEVER BEAMS;

CANTILEVER BEAMS; COMPOSITE MATERIALS; DAMPING; NANOTUBES; STEEL; VIBRATION CONTROL;

NONLINEAR SYSTEMS;

EID: 33645669594     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/IMECE2005-81608     Document Type: Conference Paper

References (30)

1. Mahmoodi, S.N., Khadem, S.E. and Esmailzadeh, E., "Large Amplitude Equations on Nonlinear Motion of Viscoelastic Beam", Proceeding of ASME-IDETC/CIE Conf., Long Beach, CA (Sept. 2005).
2. Mahmoodi, S.N., Khadem, S.E. and Kokabi, M., "Non-linear Vibrations of Voigt-Kelvin Visco-elastic Continuous Systems", submitted to Journal of Sound and Vibration (Apr. 2004).
3. Avouris, P., Hertel, T., Martel, R., Schmidt, T., Shea, H. R. and Walkup, R. E., 1999, "Carbon Nanotubes: Nanomechanics, Manipulation and Electronic Devices", Applied Surface Science, 141, pp. 201-209.
4. Rajoria, H. and Jalili, N., "Determination of Strength and Damping Characteristics of Carbon Nanotube-Epoxy Composites", Proceedings of 2004 ASME International Mechanical Engineering Congress & Exposition, Anaheim, CA (Nov. 2004).
5. Rajoria, H. and Jalili, N., 2005, "Passive Vibration Damping Enhancement Using Carbon Nanotube-Epoxy Reinforced Composites", Composites Science and Technology Journal, in print, 1-15.
6. Bailey, T. and Hubbard, J. E. Jr., 1985, "Distributed Piezoelectric Polymer Active Vibration Control of a Cantilever Beam", AIAA Journal of Guidance Control Dynamic, 8, pp. 605-611.
7. Wang, Q. and Quek, S. T., 2000, "Flexural Vibration Analysis of Sandwich Beam Coupled with Piezoelectric Actuator, Smart Materials and Structures, 9, pp. 103-109.
8. Arafat, H. N., Nayfeh, A. H., and Chin, C., 1998, "Nonlinear Nonplanar Dynamics of Parametrically Excited Cantilever Beams", Nonlinear Dynamics, 15, pp. 31-61.
9. Crespo da Silva, M. R. M., 1988, "Non-linear Flexural-Flexural- Torsional-Extensional Dynamics of Beams-I. Formulation", International Journal of Solids Structures, 24, pp. 1225-1234.
10. Crespo da Silva, M. R. M., 1988, "Non-linear Flexural-Flexural- Torsional-Extensional Dynamics of Beams-II. Response Analysis", International Journal of Solid Structures, 24, pp. 1235-1242.
11. Crespo da Silva, M. R. M., 1991, "Equations for Nonlinear Analysis of 3D Motions of Beams", Applied Mechanical Reviews, 44, pp. s51-s59.
12. Crespo da Silva, M. R. M. and Glynn, C.C., 1978, "Nonlinear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. I. Equations of Motion", Journal of Structural Mechanics, 6, pp. 437-448.
13. Crespo da Silva, M. R. M. and Glynn, C. C., 1987, "Nonlinear Flexural-Flexural-Torsional Dynamics of Inextensional Beams. II. Forced Motions", Journal of Structural Mechanics, 6, pp. 449-461.
14. Jalili, N., and Esmailzadeh, E., 2003, "A Nonlinear Double-winged Adaptive Neutralizer for Optimum Structural Vibration Suppression", Journal of Communications in Nonlinear Science and Numerical Simulation, 8 (2), pp. 113-134.
15. Esmailzadeh, E. and Jalili, N., 1998, "Parametric Response of Cantilever Timoshenko Beams with Tip Mass Under Harmonic Support Motion", International Journal of Non-Linear Mechanics, 33 (5), pp. 765-781.
16. Nayfeh, A. H., Chin, C., and Nayfeh, S. A., 1995, "Nonlinear Normal Modes of A Cantilever Beam", ASME Journal of Vibration and Acoustics, 117 (4), pp. 477-481.
17. Arafat, H. N. and Nayfeh, A. H., 1998, "Investigation of Subcombination Internal Resonances in Cantilever Beams", Shock and Vibration, 5 (5-6), pp. 289-296.
18. Nayfeh, A. H and Nayfeh, S. A., 1994, "On Non-linear Modes of Continuous Systems", ASME Journal of Vibration and Acoustics, 116, pp. 129-136.
19. Shaw, S. W. and Pierre, C., 1994, "Normal Modes of Vibration for Non-linear Continuous Systems", Journal of Sound and Vibration, 169, pp. 319-347.
20. Mahmoodi, S. N., Khadem, S. E. and Rezaee, M., 2004, "Analysis of Non-linear Mode Shapes and Natural Frequencies of Continuous Damped Systems", Journal of Sound and Vibration, 275, pp. 283-298.
21. Bratosin, D. and Sireteanu, T., 2002, "Hysteretic Damping Modeling by Nonlinear Kelvin-Voigt Model", Proceeding of the Romanian Academy, Series A, 3, pp. 1-6.
22. Esmailzadeh, E. and Jalali, M. A., 1999, "Nonlinear Oscillations of Viscoelastic Rectangular Plates", Nonlinear Dynamics, 18, pp. 311-319.
23. Chung, J. and Yoo, H. H., 2002, "Dynamic Analysis of a Rotating Cantilever Beam by Using the Finite Element Method", Journal of Sound and Vibration, 249(1), pp. 147-164.
24. Emam, S. A. and Nayfeh, A. H., 2004, "Nonlinear Response of Buckled Beams to Subharmonic-Resonance Excitations", Nonlinear Dynamics, 35, pp. 105-122.
25. Eissa, M. and Amer, Y. A., 2004, "Vibration control of a Cantilever Beam Subject to Both External and Parametric Excitation", Applied Mathematics and Computation, 152, pp. 611-619.
26. Kamel, M. M. and Amer, Y. A., 2002, "Response of Parametrically Excited One Degree of Freedom System with Non-linear Damping and Stiffness", Physica Scripta, 66, pp. 410-416.
27. Fung, R. F., Huang, J. S. and Chen, W. H., 1996, "Dynamic Stability of a Visco-elastic Beam Subjected to Harmonic and Parametric Excitations Simultaneously", Journal of Sound and Vibration, 198(1), pp. 1-16.
28. Yang, X. D. and Chen, L. Q., 2005, "Bifurcation and Chaos of an Axially Accelerating Viscoelastic Beam", Chaos, Solitons and Fractals, 23, pp. 249-258.
29. Nayfeh, A.H. and Balachandran, B., 1995, Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods, John Wiley & Sons, Inc.
30. Nayfeh, A.H., 1973, Perturbation Methods, John Wiley & Sons, Inc.