Study on Modal Shape of the Vibration of an Axially Moving Cantilever Beam with Tip Mass

Abstract:

Article Preview

The transverse vibration equation of an axially moving cantilever beam with tip mass is given. The instant linearized equations are set up based on Galerkin’s method. The tip mass influences to the first three order modes of the beam are computed. The calculated responses using the modes with tip mass are compared with the results using the modes without tip mass. Modes without tip mass can replace the modes with tip mass while the tip mass is small. The heavier the tip mass is, the bigger the difference of using the replacement is. It is found that the experimental result is fit well with the theoretical result using the modes with tip mass.

Info:

Periodical:

Advanced Materials Research (Volumes 211-212)

Edited by:

Ran Chen

Pages:

200-204

Citation:

L. Wang et al., "Study on Modal Shape of the Vibration of an Axially Moving Cantilever Beam with Tip Mass", Advanced Materials Research, Vols. 211-212, pp. 200-204, 2011

Online since:

February 2011

Export:

Price:

$41.00

[1] C. D. Mote Jr., A study of band saw vibrations, Journal of the Franklin Institute, Vol. 279-6 (1965), pp.430-444.

DOI: https://doi.org/10.1016/0016-0032(65)90273-5

[2] Zajaczkowski, J., and Lipinski, J., Instability of the Motion of a Beam of Periodically Varying Length, Journal of Sound and Vibration. Vol. 63 (1979), pp.9-18.

DOI: https://doi.org/10.1016/0022-460x(79)90373-0

[3] Zajaczkowski, J., and Yamada, G., Further Results on Instability of the Motion of a Beam of Periodically Varying Length, Journal of Sound and Vibration, Vol. 68-2 (1980), pp.173-180.

DOI: https://doi.org/10.1016/0022-460x(80)90462-9

[4] Vu-Quoc L., Li S., Dynamics of sliding geometrically-exact beams: large angle maneuver and parametric resonance, Computer Methods in Applied Mechanics and Engineering, Vol. 120 -1-2 (1995) , pp.65-118.

DOI: https://doi.org/10.1016/0045-7825(94)00051-n

[5] Behdinan, K., Stylianou, M.C., Tabarrok, B., Dynamics of flexible sliding beams - Non-linear analysis part I: Formulation, Journal of Sound and Vibration, Vol. 208-4 (1997), pp.517-539.

DOI: https://doi.org/10.1006/jsvi.1997.1167

[6] Zhu, W. D., and Ni, J., Energetics and Stability of Translating Media with an Arbitrarily Varying Length, Journal of Vibration and Acoustics, Vol. 122 (2000), p.295–304.

DOI: https://doi.org/10.1115/1.1303003

[7] Zhu W. D., Ni J. and Huang J., Active Control of Translating Media With Arbitrarily Varying Length. Journal of Vibration and Acoustics, Vol. 123-6 (2001), pp.347-358.

DOI: https://doi.org/10.1115/1.1375809

[8] S. S. Tadikonda and H. Baruh, Dynamic and control of a translating beam with prismatic joint. Journal of Dynamic Systems, Measurement and Control. Vol. 114 (1992), pp.422-427.

DOI: https://doi.org/10.1115/1.2897364