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

Jürgen vom Scheidt, Hans-Jörg Starkloff and Ralf Wunderlich

Preprint 2001-3, TU Chemnitz, Faculty of Mathematics

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.