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Elastic–plastic buckling behaviour of shafts in torsion

Published online by Cambridge University Press:  04 July 2016

W. S. Robotham
Affiliation:
School of Mechanical, Materials, Manufacturing Engineering and Management, University of Nottingham, Nottingham, UK
T. H. Hyde
Affiliation:
School of Mechanical, Materials, Manufacturing Engineering and Management, University of Nottingham, Nottingham, UK
E. J. Williams
Affiliation:
School of Mechanical, Materials, Manufacturing Engineering and Management, University of Nottingham, Nottingham, UK
J. W. Taylor
Affiliation:
Rolls-Royce, Derby, UK

Abstract

The development of more powerful and efficient aero-engines requires ways of increasing the torque transmitted by shafts, whilst also restricting their dimensions and weight. Thin-walled designs can assist this objective, but their use is limited by their torsional collapse behaviour. Of particular interest are conditions leading to buckling instability. The paper investigates the factors influencing this behaviour in order to provide the basis for an improved analysis method applicable to typical gas turbine aero-engine components.

The Riks finite element algorithm has been successfully applied to both plain shafts and shafts with holes. In the former case, it is shown that the perfect cylindrical geometry must be given an initial perturbation in order to give accurate predictions. The perturbation imposed is obtained by scaling the mode shape from an eigenvalue solution so that the maximum radial deformation is a percentage of the wall thickness. The predictions for both plain and holed shafts have been validated experimentally.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2000 

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References

1. Donnell, L.H. Stability of thin-walled tubes under torsion, NACA Report No 479,1933.Google Scholar
2. Timoshenko, S.P. Theory of Elastic Stability, 1st Edition, United Engineering Trustees, 1936.Google Scholar
3. Batdorf, S.B. A simplified method of elastic-stability analysis for thin cylindrical shells, NACA Report No 874, 1947.Google Scholar
4. Gerard, G. Compressive and torsional buckling of thin-wall cylinders in yield region, NACA Technical Note 3726, 1956.Google Scholar
5. Bruhn, E.F. Analysis and Design of Flight Vehicle Structures, Jacobs Publishing, 1973, pp C8.lC8.26.Google Scholar
6. ABAQUS/Standard, User Manuals, Version 5.6, Hibbitt Karlsson and Sorensen.Google Scholar
7. Riks, E. An incremental approach to the solution of snapping and buckling problems, Int J Sol Stru, 1979, 15, (7), pp 529551 Google Scholar
8. Crisfield, M.A. A fast incremental/iteration solution procedure that handles ‘snap-through’, Computers and Structures, 1981, 13, pp 5562.Google Scholar