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A Method for the Generation of Assumed Modes in Vibration Analysis

Published online by Cambridge University Press:  07 June 2016

E. Nissim
E. Nissim*
Affiliation:
Technion—Israel Institute ot Technology
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Summary

A method for the generation of assumed modes in beams with arbitrary boundary conditions is described. The method is applied to two cantilevered beams using a modified Rayleigh-Ritz vibration analysis. The results obtained show excellent agreement with those obtained by exact methods of analysis.

Type
Research Article
Information
Aeronautical Quarterly , Volume 21 , Issue 3 , August 1970 , pp. 280 - 290
Copyright
Copyright © Royal Aeronautical Society. 1970

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References

1. Harris, C. M. and Crede, C. E. Shock and vibration handbook, Vol. 1. pp. 7-13, 7-14, McGraw-Hill, 1961.Google Scholar
2. Cranch, E. T. and Adler, A. A. Bending vibrations of variable section beams. Journal of Applied Mechanics, pp. 105-108, March 1956.CrossRefGoogle Scholar
3. Bisplinghoff, R. L., Ashley, H. and Halfman, R. L. Aeroelasticity, pp. 136-138, Addison-Wesley, 1955.Google Scholar