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The Random Vibration Response of a System Having Many Degrees of Freedom

Published online by Cambridge University Press:  07 June 2016

J. D. Robson
J. D. Robson*
Affiliation:
(Department of Mechanical Engineering, University of Glasgow)*
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Summary

The paper treats the general problem of the response to multiple random excitation of a system having n degrees of freedom. Analysis is developed which connects the spectral density matrix of a set of generalised coordinates with that of corresponding generalised forces, and makes explicit the contributions of the various normal modes. The case of two degrees of freedom is considered in detail. The importance of cross-correlations between modes is shown by determining their effects on spectra and on mean-square response.

Type
Research Article
Information
Aeronautical Quarterly , Volume 17 , Issue 1 , February 1966 , pp. 21 - 30
Copyright
Copyright © Royal Aeronautical Society. 1966

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References

1. Robson, J. D. An introduction to random vibration. Edinburgh University Press, 1963.Google Scholar
2. Powell, A. On the response of structures to random pressures. Random Vibration (edited by Crandall, S. H.), Chap. 8. Technology Press/Wiley, 1958.Google Scholar
3. Robson, J. D. and Roberts, J. W. A theoretical basis for the practical simulation of random motions. Journal of Mechanical Engineering Science, Vol. 7, 1965.Google Scholar
4. Crandall, S. H. and Mark, W. D. Random vibration in mechanical systems. Academic Press, London, 1963.Google Scholar