Low-dimensional approximations for random axial vibrations of beams

Jürgen vom Scheidt, Hans-Jörg Starkloff and Ralf Wunderlich

Dynamic Systems and Applications, 2(11):143-165, 2002

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.