Title: Cross spectral densities in random vibration analysis

Authors: J.D. Robson

Addresses: Rankine Professor of Mechanical Engineering, University of Glasgow, UK

Abstract: The paper aims to consider the particular character of multi-variate random processes as relevant in random-vibration problems. The ideas of cross spectral density and coherence are introduced and the relevance of matrix formulation is emphasized. The limited nature of analogy with the problem of harmonic response is also emphasized, but the value of the analogy is demonstrated. The consequences of complete coherency are discussed, some aspects of response formulation in terms of normal co-ordinates are explored and the concept of partial coherency is explained.

Keywords: random vibration; spectral analysis; spectral density; cross spectral density; partial coherency; complete coherency; residual spectra; normal coordinates; matrix formulation; harmonic response; response formulation.

DOI: 10.1504/IJVD.1980.061356

International Journal of Vehicle Design, 1980 Vol.1 No.2, pp.121 - 129

Available online: 25 May 2014 *

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