Soft Suppression of Traveling Localized Vibrations in Medium-Length Thin Sandwich-Like Cylindrical Shells Containing Magnetorheological Layers via Nonstationary Magnetic Field

  • Gennadi MikhasevEmail author
  • Ihnat Mlechka
  • Holm Altenbach
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 182)


A medium length thin laminated cylindrical shell composed by embedding magnetorheological elastomers (MREs) between elastic layers is the subject of this investigation. Physical properties of MREs are assumed to be functions of the magnetic field induction. Differential equations with complex coefficients depending upon the magnetic field and based on experimental data for MREs are used as the governing ones. The shell is subjected to perturbations in their surface so that the initial displacements and velocities are localized in a neighborhood of some generatrix. The problem is to study the response of the MRE-based shell to the initial localized perturbations and the applied time-dependent magnetic field. The asymptotic solution of the initial boundary value problem for the governing equations is constructed by superimposing families of localized bending waves running in the circumferential direction. It is shown that applying the time-dependent magnetic field result in soft suppression of running waves.


Wave Packet Cylindrical Shell Applied Magnetic Field Elastic Layer Sandwich Beam 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The research leading to these results has received funding from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme FP7/2007-2013/under REA grant agreement PIRSES-GA-2013-610547-TAMER.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Gennadi Mikhasev
    • 1
    Email author
  • Ihnat Mlechka
    • 1
  • Holm Altenbach
    • 2
  1. 1.Belarusian State UniversityMinskBelarus
  2. 2.Otto-von-Guericke-Universität MagdeburgUniversitätsplatz 2MagdeburgGermany

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