vom Scheidt, Jürgen ; Starkloff, Hans-Jörg ; Wunderlich, Ralf : Low-dimensional approximations for random axial vibrations of beams

Author(s):

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

Title:

Low-dimensional approximations for random axial vibrations of beams

Electronic source:

application/postscript

Preprint series:

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 2, 2001

Mathematics Subject Classification:

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

Abstract:

The paper considers the computation of second-order moment functions of the solution of large-scale systems of linear random ODEs. Such systems arise from the semi-discretization of PDEs describing continuous vibration systems with random excitation. Since standard methods fail because of enormous computational problems model reduction techniques are applied. We find approximations of the desired moment functions of the large-scale system by computing them for a suitable low-dimensional system. Numerical results concerning axial vibrations of thin beams are presented.

Keywords:

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

Language:

English

Publication time:

9 / 2001