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

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 c...

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Bibliographic Details
Main Authors: Gruner, J., Scheidt, J. vom, Wunderlich, R.
Other Authors: TU Chemnitz, Fakultät für Mathematik
Format: Others
Language:English
Published: Universitätsbibliothek Chemnitz 1998
Subjects:
Online Access:http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801272
http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801272
http://www.qucosa.de/fileadmin/data/qucosa/documents/4206/data/a018.pdf
http://www.qucosa.de/fileadmin/data/qucosa/documents/4206/data/a018.dvi
http://www.qucosa.de/fileadmin/data/qucosa/documents/4206/data/a018.ps
http://www.qucosa.de/fileadmin/data/qucosa/documents/4206/19980127.txt
Description
Summary: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.