Statistic moments of the total energy of potential systems and applicationto equivalent non-linearization

In this paper some properties of the total energy moments of potential syst ems, subjected to external white noise processes, are shown. Potential syst ems with a polynomial form of energy-dependent damping have been considered . It is shown that the analytical relations between the statistical moments of the energy associated with such systems can be obtained with the aid of the standard Ito calculus. Furthermore, it is shown that, for the stationa ry case, these analytical relations are very useful for the application of the equivalent non-linearization technique. (C) 200 Elsevier Science Ltd. A ll rights reserved.