Recent Developments and Applications of the Stochastic Averaging Method in Random Vibration

Abstract

Comprehensive surveys on the stochastic averaging method in random vibration until the late 1980s were given by Roberts and Spanos (1986) and Zhu (1988). The present paper reviews the recent developments and applications of the stochastic averaging method in random vibration since then. A major new development of the stochastic averaging method in recent years is the generalization of the method to multi-degree-of-freedom, quasi-Hamiltonian systems.