Global stability of the Euler- Bernoulli beams excited by multiplicative white noises

Abstract

This paper considers the global stability of the Euler-Bernoulli beam excited by multiplicative white noise. Based on the theory of global random attractors, the Hausdorff dimensions of the global random attractors for the system is obtained. According to the relationship between Hausdorff dimensions and global Lyapunov exponents, the global stability of the stochastic beam is derived.