Summary
The Bubnov-Galerkin method is applied to reduce partial differential equations governing the dynamics of flexible plates and shells to a discrete system with finite degrees of freedom. Chaotic behaviour of systems with various degrees of freedom is analysed. It is shown that the attractor dimension of a system has no relationship with the attractor dimension of any of its subsystems.
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This work has been partially supported by Department of Mathematics of the Central European University in Budapest.
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Awrejcewicz, J., Krys’ko, A. Analysis of complex parametric vibrations of plates and shells using Bubnov-Galerkin approach. Archive of Applied Mechanics 73, 495–504 (2003). https://doi.org/10.1007/s00419-003-0303-8
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DOI: https://doi.org/10.1007/s00419-003-0303-8