Summary
The dynamic stability analysis of nonlinear viscoelastic plates is presented. The problem is formulated within the large deflections theory for isotropic plates, and the Leaderman representation of nonlinear viscoelasticity for the material behavior. The influence of the various parameters on the stability/instability possible situation is investigated within the concept of the Lyapunov exponents. In addition, it is shown that in some cases the system has a chaotic behavior.
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Touati, D., Cederbaum, G. Influence of large deflections on the dynamic stability of nonlinear viscoelastic plates. Acta Mechanica 113, 215–231 (1995). https://doi.org/10.1007/BF01212644
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DOI: https://doi.org/10.1007/BF01212644