Vibration Characteristics of Pre-twisted Blades of Asymmetrical Aerofoil Cross-Section

Author:

Carnegie W.,Dawson B.

Abstract

SummaryThe natural frequencies and mode shapes of vibration of cantilever aerofoil cross-section blades of pre-twist angle in the range 0 to 90 degrees are obtained. The beams are 152·4 mm long and the width / thickness ratio is such that they may be regarded as slender. Theoretical frequency ratios and mode shapes of vibration, neglecting shear and rotary inertia effects, are obtained for two sets of beams, one with clockwise pre-twist relative to the root cross-section and the other with anti-clockwise pre-twist. The effect of variation in the value of the centre-of-flexure coordinates upon the natural frequency ratios and mode shapes of vibration is investigated. The theoretical results are compared to corresponding experimental results.

Publisher

Cambridge University Press (CUP)

Subject

General Engineering

Reference11 articles.

1. Dawson B. The Ritz method applied to the vibration of pre-twist cantilever beams allowing for rotary inertia and shear deformation. To be published in the Journal of the American Society of Mechanical Engineers, (Brief Notes). (Accepted for publication).

2. Coupled bending and torsional vibrations in a twisted rotating blade;Montoya;Brown-Boveri Review,1966

3. Houbolt J. C. and Brook G. W. Differential equations of motion for combined flapwise bending, chordwise bending and torsion of twisted non-Uniform rotor blades. NACA Technical Report 1346, 1958.

4. Coupled Bending-Bending Vibrations of Pre-Twisted Cantilever Blading Treated by the Rayleigh-Ritz Energy Method

5. Isakson G. and Eisley G. J. Natural frequencies in coupled bending and torsion of twisted rotating and non-rotating blades. NASA, 1964. (Prepared under Grant No. NS6-27-59 by the University of Michigan.)

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