J. Gruner; J. vom Scheidt; R. Wunderlich : On the analytic representation of the correlation function of linear random vibration systems

Author(s) :

J. Gruner; J. vom Scheidt; R. Wunderlich

Title :

On the analytic representation of the correlation function of linear random vibration systems

Electronic source :

[gzipped dvi-file] 15 kB
[gzipped ps-file] 46 kB

Preprint series

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 97-18, 1997

Mathematics Subject Classification :

70L05 [ Random vibrations (general mechanics) ]

60G10 [ Stationary processes ]

Abstract :

This paper is devoted to the computation of statistical characteristics of the response of discrete vibration systems with a random external excitation. The excitation can act at multiple points and is modeled by a time-shifted random process and its derivatives up to the second order. Statistical characteristics of the response are given by expansions as to the correlation length of a weakly correlated random process which is used in the excitation model. As the main result analytic expressions of some integrals involved in the expansion terms are derived.

Keywords :

random vibrations, correlation function, asymptotic expansion, weakly correlated random function

Language :

english

Publication time :

10/1997