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Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin–Voigt type

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Abstract

We consider vibrations of an elastic rod loaded by axial force of constant intensity and positioned on a viscoelastic foundation of complex order fractional derivative type. The solution to the problem is obtained by the separation of variables method. The critical value of axial force, guaranteeing stability, is determined.

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Acknowledgments

This research is supported by the Serbian Ministry of Education and Science Projects 174005, 174024, III44003 and TR32035, as well as by the Secretariat for Science of Vojvodina Project 114-451-1084.

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Authors and Affiliations

  1. Department of Mechanics, Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovica, 6, 21000, Novi Sad, Serbia

    Teodor M. Atanackovic

  2. Mathematical Institute, Serbian Academy of Arts and Sciences, Kneza Mihaila, 36, 11000, Beograd, Serbia

    Marko Janev & Dusan Zorica

  3. Department of Mathematics, Faculty of Sciences, University of NoviSad, Trg D. Obradovica, 4, 21000, Novi Sad, Serbia

    Sanja Konjik & Stevan Pilipovic

Authors
  1. Teodor M. Atanackovic
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  2. Marko Janev
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  3. Sanja Konjik
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  4. Stevan Pilipovic
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  5. Dusan Zorica
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Correspondence to Dusan Zorica.

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Atanackovic, T.M., Janev, M., Konjik, S. et al. Vibrations of an elastic rod on a viscoelastic foundation of complex fractional Kelvin–Voigt type. Meccanica 50, 1679–1692 (2015). https://doi.org/10.1007/s11012-015-0128-x

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  • DOI: https://doi.org/10.1007/s11012-015-0128-x

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