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. [1] Shandong University of Technology

     Shandong University of Technology

     China

     
  2. [2] Beijing Electro-Mechanical Engineering Institute (CN)
  3. [3] Technical University of Cartagena, Hospital de Marina (ES)

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• Localización: 3c Tecnología: glosas de innovación aplicadas a la pyme, ISSN-e 2254-4143, Vol. 12, Nº. 1, 2023, págs. 386-412
• Idioma: inglés
• DOI: 10.17993/3ctecno.2023.v12n1e43.386-412
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• Resumen

  • 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.