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Vibration Characteristics of Straight Blades of Asymmetrical Aerofoil Cross-Section

Published online by Cambridge University Press:  07 June 2016

W. Carnegie  and
B. Dawson
W. Carnegie
Affiliation:
University of Surrey
B. Dawson
Affiliation:
University of Surrey
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Summary

Theoretical and experimental natural frequencies and modal shapes up to the fifth mode of vibration are given for a straight blade of asymmetrical aerofoil cross-section. The theoretical procedure consists essentially of transforming the differential equations of motion into a set of simultaneous first-order equations and solving them by a step-by-step finite difference procedure. The natural frequency values are compared with results obtained by an analytical solution and with standard solutions for certain special cases. Good agreement is shown to exist between the theoretical results for the various methods presented. The equations of motion are dependent upon the coordinates of the axis of the centre of flexure of the beam relative to the centroidal axis. The effect of variations of the centre of flexure coordinates upon the frequencies and modal shapes is shown for a limited range of coordinate values. Comparison is made between the theoretical natural frequencies and modal shapes and corresponding results obtained by experiment.

Type
Research Article
Information
Aeronautical Quarterly , Volume 20 , Issue 2 , May 1969 , pp. 178 - 190
Copyright
Copyright © Royal Aeronautical Society. 1969

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References

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