Stochastic dynamics with fatigue-induced stiffness degradation

This article deals with stochastic dynamics coupled with simultaneous evolution of degradation of the system properties. We provide a general formulations and interpretations of various response-degradation problems associated with randomly vibrating systems and then an efficient analysis of vibratory systems with fatigue-induced stiffness degradation is presented. First, an approach to the random vibration problem with empirical characterization of stiffness degradation is sketched out and then the efficient sequential method for a coupled analysis of the response-degradation is presented in detail including numerical illustration of the results.