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

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