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

1 February 1966

journal article
research article
Published by Cambridge University Press (CUP) in Aeronautical Quarterly

Vol. 17 (1) , 21-30
https://doi.org/10.1017/s000192590000367x

Abstract

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.

Keywords

GENERALISED
COORDINATES
EXPLICIT
SPECTRA
MATRIX
CORRESPONDING
SUMMARY
EXCITATION
DEGREES OF FREEDOM

This publication has 1 reference indexed in Scilit:

A Theoretical Basis for the Practical Simulation of Random Motions
Journal of Mechanical Engineering Science, 1965