An experimental investigation of multimode responses in a cantilever beam

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 119, Issue 4, 1997, Pages 532-538

  Tabaddor, M ^a   Nayfeh, A H ^a  

^a State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CANTILEVER BRIDGES; ENERGY TRANSFER; FREQUENCY RESPONSE; MECHANICAL TESTING; NATURAL FREQUENCIES; RESONANCE;

CANTILEVER BEAMS;

BEAMS AND GIRDERS;

EID: 0031250890     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.2889756     Document Type: Article

References (18)

1. Anderson, T. J., Balachandran, B., and Nayfeh, A. H., 1992. “Observations of Nonlinear Interactions in a Flexible Cantilever Beam.” AIA A Paper No. 92-2332, in Proceedings of the 33rd AIAA Structures. Structural Dynamics, und Materials Conference. Dallas. TX.
2. Anderson, T. J., Halachandian, B., and Nayfeh, A. H., 1994, “Nonlinear Resonances in a Flexible Cantilever Beam.” ASME Journal or Vibration and Acoustics. Vol. 16. pp. 480-484.
3. Anderson, T. J., Nayfeh, A. H., and Balachandran, B., 1996a. “Coupling Between High-Frequency Modes and a I.ow-Frcquency Mode: Theory and Experiment,” Nonlinear Dynamics, In press.
4. Anderson, T. J., Nayfeh, A. H., and Balachandran, B., 1996b. “Experimental Verification of the Importance of the Nonlinear Curvature in the Response of a Cantilever Beam,” ASME Journal to Vibration and Acoustics. Vol 11H. pp. 21-27.
5. Blevins, K. D., 1979, Formulas for Natural Frequency and Mode Shape, Van Nostrand, New Yoit.
6. Dugundji, J., and Mukhopadhyay, V., 1973, “Lateral Bending-Torsion Vibrations of a Thin Beam under Parametric Excitation.” ASME Journal of Applied Mechanics, Vol. 44, pp. 693-698.
7. Dym, C. L., and Shames, I. H., 1973, Solid Mechanics: A Variational Approach. McGraw-Hill, New York.
8. Nayfeh, A., and Balachandran, B., 1989, “Modal Interaction in Dynamical and Structural Systems,” Applied Mechanic:. Review. Vol. 42, pp. S175-S201.
9. Nayfeh, A. H., and Balachandran, B., 1995, Applied Nonlinear Dynamics. Wiley. New York.
10. Nayfeh, A. H., and Mook, D. T., 1979. Nonlinear Oscillations. Wiley. New York
11. Nayfeh, A. H., and Mook, D. T., 1995, “Energy Transfer from High-Frequency to Low-Frequency Modes in Structures.” ASME Special50th Anniversary Design Issue. Vol. 117, pp. 186-195.
12. Nayfeh, S. A., and Nayfeh, A. H., 1993, “Nonlinear Interactions Between Two Widely Spaced Modes-Extemal Excitation,” International Journal of Bifurcation are Chaos. Vol. 3, pp. 417-427.
13. Nayfeh, S. A., and Nayfeh, A H., 1994. “Energy Transfer from High- to Low-Frequency Modes in a Flexible Structure via Modulation,” ASME Journal of Vibration and Acoustics. Vol. 116. pp 203-207
14. Oh, K., and Nayfeh, A., 1996a, “High- to Low-Frequency Modal Interactions in a Cantilever Composite Plate.” ASME Journal op Vibration and Acoustics, submitted.
15. Oh, K., and Nayfeh, A. H., 1996b. “Nonlinear Combination Resonances in Cantilever Composite Plates,” Nonlinear Dynamics, lit press.
16. Ostachowicz, W. M., and Krawczuk, M., 1991. “Analysis of the Effect of Cracks on the Natural Frequencies of a Cantilever Beam,” Journal of Sound and Vibration. Vol. 150, pp. 191-201.
17. Tahaddor, M., and Nayfeh, A., 1995, “Nonlinear Dynamics of a Transversely Excited Cantilever Beam,” in ASME 15th Biennial Mechanical Vibration and Noise Conference. Boston. MA. DE-Vol. 84-1. pp. 21-29.
18. Washizu, K., 1982, Variation Mathieu in Elasticity und Plasticity. Pergamum Press. Oxford, England.