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Dynamic analysis of thick rotating blades with flexible roots

Published online by Cambridge University Press:  04 July 2016

B. A. H. Abbas
B. A. H. Abbas*
Affiliation:
Department of Mechanical Engineering, University of Basrah, Basrah, Iraq
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Summary

This paper presents a new finite element model for the dynamic analysis of thick rotating blades with flexible roots. The new model is based on the fast convergent element developed by Abbas and Thomas which can satisfy all the geometric and natural boundary conditions of a thick non-rotating blade. It is the only element developed so far which can distinguish between roots of blades that are rigidly clamped and are elastically supported.

Type
Research Article
Information
The Aeronautical Journal , Volume 89 , Issue 881 , January 1985 , pp. 10 - 16
Copyright
Copyright © Royal Aeronautical Society 1985 

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References

1. Downham, E. Vibration in Rotating Machinery: Malfunction Diagnosis — Art and Science, Vibrations in Rotating Machinery, IMechE Conference Publications 1976-9,1-6.Google Scholar
2. Carnegie, W. Vibrations of Rotating Cantilever Blading: Theoretical Approaches to the Frequency Problem Based on Energy Methods, Journal of Mechanical Engineering Science, 1959,1,3,235–240.Google Scholar
3. Carnegie, W., Stirling, C. and Fleming, J. Vibration Characteristics of Turbine Blading Under Rotation—Results of an Initial Investigation and Details of High Speed Test Installation, Proceedings of the Institution of Mechanical Engineers, 1966,180, Part 31,1–9.Google Scholar
4. Carnegie, W. and Rao, J. S. Effect of Pretwist and Rotation on Flexural Vibrations of Cantilever Beams Treated by the Extended Holzer Method, Bulletin of Mechanical Engineering Education, 1971,10, No 239.Google Scholar
5. Krupka, R. M. and Baumanis, A. M. Bending-Bending Mode of a Rotating Tapered Twisted Turbomachine Blade Including Rotary Inertia and Shear Deflection, Journal of Engineering for Industry, ASME, 1969,91,1017.Google Scholar
6. Stafford, R. O. and Giurgiutiu, V. Semi-Analytic Methods for Rotating Timoshenko Beams, International Journal of Mechanical Science, 1975,17,719–727.Google Scholar
7. Singh, V. K. Flexible Root Tapered Blade Vibration Using Myklestad Approach, J of MA CT, 1976,9,81–86.Google Scholar
8. Rawtani, S. and V. K., Singh, Effect of Root Flexibility on Vibration Characteristics of Tapered Blades, JofMACT, 1976, 9,23–32.Google Scholar
9. Rao, G. V. and Raju, K. K. A Galerkin Finite Element Analysis of a Uniform Beam Carrying a Concentrated Mass and Rotary Inertia with a Spring Hinge, J Sound and Vibration, 1974, 37, No 4, 567–569.Google Scholar
10. Grant, D. A. Vibration Frequencies for a Uniform Beam with One End Elastically Supported and Carrying a Mass at the Other End, J ApplMech, 1975,42,878–880.Google Scholar
11. Amba-Rao, C. L. and Hussaini, M. Y. On Free Vibrations of Finite Beams with Partially Fixed End Conditions Carrying Masses, J Appl Mech, 1975,42,735–736.Google Scholar
12. Abbas, B. A. H. Simple finite elements for dynamic analysis of thick pre-twisted blades, The Aeronautical Journal, November 1979,450–453.Google Scholar
13. Thomas, J. and Abbas, B. A. H. Finite element model for dynamic analysis of Timoshenko beam, Journal of Sound and Vibration, 1975,41,3,291–299.Google Scholar