乘性白噪声激励下欧拉-伯努利光束的全局稳定性

3C Tecnología_Glosas de innovación aplicadas a la pyme Pub Date : 2023-03-31 DOI:10.17993/3ctecno.2023.v12n1e43.386-412

Zhenzhen Li, Kangning Zhao, Hongkui Li, Juan L. G. Guirao, Huatao Chen

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引用次数: 0

摘要

研究了乘性白噪声激励下欧拉-伯努利光束的全局稳定性问题。基于全局随机吸引子理论，得到了系统全局随机吸引子的Hausdorff维数。根据Hausdorff维数与全局Lyapunov指数的关系，导出了随机梁的全局稳定性。

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

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.

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3C Tecnología_Glosas de innovación aplicadas a la pyme

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