A flexible rotating beam is modelled using Timoshenko beam theory and a non-inertial reference frame that leads to a pseudo-pinned-pinned formulation. The frequency equation and orthogonality conditions are derived and compared with those for the pseudo-pinned and pseudo-clamped formulations. A finite dimensional model is presented and is used to derive the transformations between the three formulations.
Issue Section:
Research Papers
1.
Agrawal
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Shabana
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1985
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.2.
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3.
White, M. W. D., and Heppler, G. R., 1993, “Vibration of a Rotating Timos-henko Beam,” Construct TR-93-002, University of Waterloo, Waterloo, Ontario, Canada.
4.
White
M. W. D.
Heppler
G. R.
1995
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,” ASME Journal of Applied Mechanics
, Vol. 62
, No. 1
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.5.
White
M. W. D.
Heppler
G. R.
1996
, “Vibration of a Rotating Timoshenko Beam
,” ASME JOURNAL OF VIBRATION AND ACOUSTICS
, Vol. 118
, No. 4
, pp. 606
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.
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