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

• 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: random vibrations; correlation function; asymptotic expansion; weakly correlated random function; MSC 70L05; MSC 60G10; ddc:510
• 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

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.