  We consider a second-order linear system of ordinary differential equations
(ODEs) including random variables. A stochastic Galerkin method yields a larger
deterministic linear system of ODEs. We apply a model order reduction (MOR) of
this high-dimensional linear dynamical system, where its internal energy
represents a quadratic quantity of interest. We investigate the properties of
this MOR with respect to stability, passivity, and energy dissipation.
Numerical results are shown for a system modelling a mass-spring-damper
configuration.
