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Finite Fourier Transform Analysis of the Flexure of a Non-Uniform Beam

Published online by Cambridge University Press:  28 July 2016

E. E. Jones
E. E. Jones*
Affiliation:
University of Nottingham
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Extract

The object of this paper is to present an analytical method of investigating the flexure of a non-uniform beam under transverse loading. A method due to Strandhagen for a uniform beam is extended to the case of a non-uniform beam, the deflection appearing in the form of a Fourier series, the coefficients of which are functions of the loading, the end-conditions, and parameters which define the non-uniform flexural rigidity of the beam.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 60 , Issue 552 , December 1956 , pp. 805 - 806
Copyright
Copyright © Royal Aeronautical Society 1956

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References

1. Strandhagen, A. G. (1944). Use of Sine Transform for Non-Simply Supported Beams, Quarterly of Applied Mathematics, Vol. 1, p. 346, 1944.CrossRefGoogle Scholar
2. Sneddon, I. N. (1951). Fourier Transforms. 1st Ed., McGraw-Hill, pp. 71, 119, 1951.Google Scholar
3. Hetényi, M. (1937). Deflection of Beams of Varying Cross-Section, Journal of Applied Mechanics, Vol. 4, p. A49, 1937.CrossRefGoogle Scholar
4. Thomson, W. T. (1949). Vibrations of Slender Bars with Discontinuities in Stiffness. Journal of Applied Mechanics, Vol. 16, p. 203, 1949.CrossRefGoogle Scholar
5. Jones, E. E. (1955). The Flexure of a Non-Uniform Beam. Pacific Journal of Mathematics, Vol. 5, Supp. 1, p. 799, 1955.CrossRefGoogle Scholar
6. Macauley, W. H. (1919). Note on Deflection of Beams. Messenger of Mathematics, Vol. 48, p. 129, 1919.Google Scholar
7. Timoshenko, S. (1941). Strength of Materials, 2nd Ed., Nostrand, D. Van, p. 44, 1941Google Scholar