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Analysis of complex parametric vibrations of plates and shells using Bubnov-Galerkin approach

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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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Authors and Affiliations

  1. Department of Automatics and Biomechanics, Technical University of Lodz, 1/15 Stefanowskiego St., 90–924, Lodz Poland

    J. Awrejcewicz

  2. Department of Mathematics, Saratov State University, B. Sadovaja 96A f. 77, 410054, Saratov Russia

    A. V. Krys’ko

Authors
  1. J. Awrejcewicz
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  2. A. V. Krys’ko
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Correspondence to J. Awrejcewicz.

Additional information

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

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