Title: Results arising through the matrix formulation of random vibration analysis

Authors: J.D. Robson

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

Abstract: This paper presents a number of examples in which results of considerable practical importance have arisen as an immediate consequence of the apparently trivial circumstance of the matrix formulation of random vibration analysis. These examples are all concerned with the description of multivariate random vibration, but the results derived are very various in their nature concerning as they do the formulation of response relationships, restrictions on spectral densities, relationships between the various spectral densities - direct and cross - of multivariate responses, and limits to the repeated conditioning of recorded signals.

Keywords: random vibration analysis; matrix formulation; multivariate processes; spectral densities; Gaussian excitation.

DOI: 10.1504/IJVD.1982.061273

International Journal of Vehicle Design, 1982 Vol.3 No.3, pp.297 - 306

Published online: 25 May 2014 *

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