vom Scheidt, Jürgen ; Starkloff, Hans-Jörg ; Wunderlich, Ralf : Transverse vibrations of a beam with random epsilon-correlated excitation and model reduction

Author(s):

vom Scheidt, Jürgen
Starkloff, Hans-Jörg
Wunderlich, Ralf

Title:

Transverse vibrations of a beam with random epsilon-correlated excitation and model reduction

Electronic source:

application/postscript

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 3, 2001

Mathematics Subject Classification:

34F05			[ Equations and systems with randomness ]
70L05			[ Random vibrations ]

Abstract:

This paper is devoted to the computation of second-order moment functions of the solution of large- scale systems of linear random ODEs which arise in the modeling of randomly excited linear vibration systems. Model reduction techniques are applied to find approximations of the desired moment functions of the large-scale system by computing them for a suitable low-dimensional system. Numerical results concerning transverse vibrations of thin beams are presented.

Keywords:

random vibration, stationary stochastic process, epsilon-correlated process, semi-discretization of PDEs, model reduction

Language:

English

Publication time:

11 / 2001