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Random vibration with non-linear damping

Published online by Cambridge University Press:  04 July 2016

C. L. Kirk
C. L. Kirk*
Affiliation:
Structural & Aerospace Dynamics Group, Cranfield Institute of Technology
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Extract

The purpose of this paper is to study the random vibration of linearly elastic, lumped-mass systems containing non-linear damping, to ideal stationary Gaussian white noise excitation.

The following practical examples of systems with non-linear damping are quoted. A random vibration absorber with (velocity)2 damping, (velocity)2 damping in an aircraft oleo pneumatic undercarriage, and spar cap beam dampers in which damping is produced by relative motion between friction surfaces during beam deflection. In the first two examples optimum system parameters are determined in order to minimise the mean square response. In the third case the root mean square acceleration of a beam with spar cap damping is determined experimentally, the results being compared with Caughey's theoretical results.

Type
Technical Notes
Information
The Aeronautical Journal , Volume 77 , Issue 755 , November 1973 , pp. 563 - 569
Copyright
Copyright © Royal Aeronautical Society 1973 

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References

1. Caughey, T. K. Equivalent linearisation techniques. Journal Acoustical Society of America, Vol 35, No 11, November 1963.Google Scholar
2. Kirk, C. L. and Perry, P. J. Analysis of taxying induced vibrations in aircraft by the power spectral density method. The Aeronautical Journal of the Royal Aeronautical Society, Vol 75, No 723, March 1971.Google Scholar
3. Crandall, S. H. and Mark, W. D. Random vibration in mechanical systems, p 72. Academic Press, 1963.Google Scholar
4. Den Hartog, J. P. Mechanical Vibrations, p. 128–129. McGraw-Hill Book Co. 1947.Google Scholar
5. Pian, T. H. H. and Halloweix, J. C. Structural damping in a simple built-up beam. Proc 1st US Nat Congr of Applied Mechanics, p 97, 1952.Google Scholar
6. Caughey, T. K. Random excitation of a system with bilinear hysteresis. Trans ASME. Journal of Applied Mechanics, p 649, December 1960.Google Scholar