Dynamics of Cantilever Beams due to Time-Dependent Excitations and their Suppression

Abstract:

A Fourier Transform method is applied to determine the displacements of a cantilever beam subjected to a multi-frequency excitations at the base. To dampen the displacements of the beam, a point mass is attached to the beam. The position of the mass on the beam is determined such that the overall deflections of the beam are minimal. It is shown that these attachments to the beam are effective in reducing the vibrations of the beam but their position is frequency dependent. It is shown that the low frequency component of the external excitation is most important in finding the optimal position of the mass.

• Periodical: Applied Mechanics and Materials (Volume 232)
• Pages: 465-468
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.232.465
• Online since: November 2012
• Authors: Adnan Rebei, Khalid Al-Saif
• Keywords: Cantilever, Control, Mass Attachment, Multi-Frequency Excitations, Suppression, Vibration

References

[1] C. R. Fuller, S. J. Eliot, P.A. Nelson: Active control of vibration. (Academic Press, London 1997).

[2] R. F. Keltie and C. C. Cheng: J. Sound and vibration Vol. 187 (1995), p.213.

[3] P. D. Cha C. Pierre: J. of Sound and vibration Vol. 219 (1999), p.669.

[4] P. D. Cha: J. Sound and vibration Vol. 272 (2004), p.853.

[5] K. Alsaif and M. A. Foda: J. Sound and Vibration Vol. 256 (2002): p.629.

[6] D. A. Grant: J. Sound and Vibration Vol. 89 (1983), p.519.