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Similarity Relations for Vibrating Cylinder with Temperature Gradient across the Thickness

Published online by Cambridge University Press:  04 July 2016

V. J. Modi
V. J. Modi*
Affiliation:
Department of Mechanical Engineering, University of British Columbia, Canada
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Extract

The dynamic analysis of heated structures is of considerable importance. Significant heating of a flight vehicle may take place at high speed causing reduction in its structural stiffness and vibration frequencies. Such changes in frequencies and mode shapes can substantially affect various static and dynamic aeroelastic instabilities.

In general, availability of a similarity law simplifies the solution of a problem. The following presentation studies similarity relations existing between an unheated vibrating cylinder and one with temperature gradient across its thickness.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 69 , Issue 654 , June 1965 , pp. 412 - 414
Copyright
Copyright © Royal Aeronautical Society 1965

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References

1.Timoshenko, S.Theory of Plates and Shells. Chapter 11, McGraw-Hill Book Company, Inc, New York, 1940.Google Scholar
2.Reissner, E. Nonlinear Effects in Vibration of Cylindrical Shells. Aeromechanics Report No. AM5-6, Ramo-Wool- dridge Corp, August 1955.Google Scholar
3.Funo, Y. C., Sechler, E. E. and Kaplan, A.On the Vibration of Thin Cylindrical Shells Internal Pressure. Jour Aero Sci, Vol. 24, No. 9, pp 650–660, September 1957.Google Scholar