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Non-Linear Vibrations of Rotating Cantilever Beams

Published online by Cambridge University Press:  04 July 2016

J. S. Rao  and
W. Carnegie
J. S. Rao
Affiliation:
Indian Institute of Technology, Kharagpur, India, at present Commonwealth Fellow, University of Surrey
W. Carnegie
Affiliation:
University of Surrey
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Extract

The problem of flexural vibration of a rotating cantilever blade is non-linear when the vibration takes place in a plane other than perpendicular to the plane of rotation. The non-linearity arises from the effects of Coriolis accelerations due to the rotation of the blade mounted on the periphery of a disc. Lo and Renbarger neglected the non-linear terms in their investigation and arrived at a simple relation for the frequency of vibration in terms of the stationary frequency of the beam, the rotating speed and the orientation of the plane of vibration. Lo in his analysis simplified the non-linear problem by assuming the blade to be rigid everywhere excepting at the root and presented the solution in a phase plane. Isakson and Eisley have considered a similar model to determine the natural frequencies in coupled bending and torsion of twisted rotating cantilever blades.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 74 , Issue 710 , February 1970 , pp. 161 - 165
Copyright
Copyright © Royal Aeronautical Society 1970 

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References

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