Stability of elastic and viscoelastic systems under action of random stationary narrow-band loads

Abstract

The stability is considered of the equilibrium state of elastic and viscoelastic systems, subjected to random parametric loads, with respect to perturbations of initial conditions. The stability is explored in the sense of Liapunov. The loads are assumed in the form of random narrow-band stationary processes. A numerical method for the analysis of the stability of such systems is offered, which is based on a method of statistical simulation of random processes, and on the determination of maximum Liapunov exponents. With the help of the method proposed the influence of the form of probability distributions, and of characteristics of the material, on the asymptotic stability of elastic and viscoelastic rods is investigated.