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Shock and Vibration
Volume 2015, Article ID 795606, 28 pages
http://dx.doi.org/10.1155/2015/795606
Research Article

A New Approach for Studying Nonlinear Dynamic Response of a Thin Plate with Internal Resonance in a Fractional Viscoelastic Medium

Research Center for Wave Dynamics of Solids and Structures, Voronezh State University of Architecture and Civil Engineering, 20-Letija Oktjabrja Street 84, Voronezh 394006, Russia

Received 24 November 2014; Accepted 15 February 2015

Academic Editor: Dumitru I. Caruntu

Copyright © 2015 Yury A. Rossikhin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [3 citations]

The following is the list of published articles that have cited the current article.

  • Marina V. Shitikova, Yury A. Rossikhin, and Jean Cl. Ngenzi, “Fractional Calculus Application in Problems of Non-linear Vibrations of Thin Plates with Combinational Internal Resonances,” Procedia Engineering, vol. 144, pp. 849–858, 2016. View at Publisher · View at Google Scholar
  • Marina V. Shitikova, Yury A. Rossikhin, and Vladimir Kandu, “Interaction of internal and external resonances during force driven vibrations of a nonlinear thin plate embedded into a fractional derivative medium,” Procedia Engineering, vol. 199, pp. 832–837, 2017. View at Publisher · View at Google Scholar
  • Pol D. Spanos, and Giovanni Malara, “Random Vibrations of Nonlinear Continua Endowed with Fractional Derivative Elements,” Procedia Engineering, vol. 199, pp. 18–27, 2017. View at Publisher · View at Google Scholar