Random transverse vibrations of a one-sided fixed beam and model reduction

Jürgen vom Scheidt, Hans-Jörg Starkloff and Ralf Wunderlich

Z. Angew. Math. Mech., 11-12(82):847-859, 2002.

Abstract :

This paper is devoted to the computation of second-order moment functions of the solution of large-scale systems of linear random ODEs. Such systems result from the semi-discretization of PDEs describing continuous vibration systems with random excitation. 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 a one-sided fixed beam subjected to a random excitation modeled by a random field are presented. Special attention is paid to epsilon-correlated excitations charcterized by a short correlation length.