Random vibration systems with epsilon-correlated excitations
Jürgen vom Scheidt, Hans-Jörg Starkloff and Ralf Wunderlich
Z. Angew. Math. Mech., 81-S3:649-650, 2001.
In the paper asymptotic expansions for second-order moments of solutions to ordinary differential equations with weakly correlated random inhomogeneous terms are presented. Such equations arise e.g. in the mathematical modeling of vibration systems with an external random excitation. The given expansions allow an efficient approximative computation of moment functions of the solution process, particularly when the number of degrees of freedom is large.