Abstract
The study on long-time dynamical behaviors of thin plates or panels subjected to random excitations is an important issue. Motivated by problems arising in practical engineering, the dynamics of Von Karman plates without rotational inertia can be described by a partial differential equation driven by multiplicative white noises which can generate a random dynamical system (RDS). According to the estimation of energy function for the vibrations of the plate, it can be proved that there exist random attractors for the corresponding RDS.
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Acknowledgments
This research was supported by NSFC (NO.91216106 and NO.11472089)
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Chen, H., Cao, D., Jiang, J. (2016). Random Attractors for Von Karman Plates Subjected to Multiplicative White Noise Loadings. In: Awrejcewicz, J. (eds) Dynamical Systems: Theoretical and Experimental Analysis. Springer Proceedings in Mathematics & Statistics, vol 182. Springer, Cham. https://doi.org/10.1007/978-3-319-42408-8_6
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DOI: https://doi.org/10.1007/978-3-319-42408-8_6
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