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The Natural Frequencies and Modes of Vibration of a Rotating Beam

Published online by Cambridge University Press:  28 July 2016

H. S. Liner
H. S. Liner*
Affiliation:
Structures Department, Bristol Aeroplane Co. Ltd.
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Extract

This note presents in matrix form the equations of motion of a rotating and vibrating beam. The natural frequencies of the system are obtained by plotting an impedance-frequency diagram and noting the frequencies at which the impedance vanishes. Uncoupled bending vibrations are considered but the analysis can easily be extended to include coupled bending-torsion vibrations. The arrangement of the method for solution on a digital computor is quite straight-forward.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 58 , Issue 525 , September 1954 , pp. 652 - 654
Copyright
Copyright © Royal Aeronautical Society 1954

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References

1. Myklestad, N. O. (1944). Vibration Analysis, pp. 210–214. McGraw-Hill, 1944.Google Scholar
2. Horvay, G. (1948). Chordwise and Beamwise Bending Frequencies of Hinged Rotor Blades. Journal of the Aeronautical Sciences, Volume 15, August 1948.CrossRefGoogle Scholar
3. Hirsch, H. The Contribution of Higher Mode Resonance to Helicopter Rotor Blade Bending (Fig. 5). (C.A.L. Report).Google Scholar