Global stability of the Euler-Bernoulli beams excited by multiplicative white noises
- Zhenzhen Li 1
- Kun Zhao 2
- Hongkui Li 1
- Juan L.G. Guirao 3
- Huatao Chen 1
- 1 Shandong University of Technology, ZiBo (CN)
- 2 Beijing Electro-Mechanical Engineering Institute (CN)
- 3 Technical University of Cartagena, Hospital de Marina (ES)
ISSN: 2254-4143
Year of publication: 2023
Volume: 12
Issue: 1
Pages: 386-412
Type: Article
More publications in: 3c Tecnología: glosas de innovación aplicadas a la pyme
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.