Backwards waves in a fluid-filled cylindrical shell: Comparison of 2D shell theories with 3D theory of elasticity

George V. Filippenko, Maria V. Wilde

Research outputpeer-review

3 Citations (Scopus)

Abstract

Backward waves (wave with opposite signs of the phase and group velocities) in a circular cylindrical shell filled with an acoustic fluid are studied. Three theories are applied to describe the motions of the shell: Kirchhoff-Love theory, refined shell theory with modified inertia, and 3D theory of elasticity. Numerical results for combinations of parameters ensuring the existence of backward waves are presented. By comparison of these results, the limits of applicability of the shell theories are investigated. It is shown that the using of two-terms operator of transverse inertia is sufficient to extend the applicability of the shell theory up to high-frequency range.

Original languageEnglish
Title of host publicationProceedings of the International Conference Days on Diffraction, DD 2018
EditorsA.Ya. Kazakov, A.P. Kiselev, L.I. Goray, O.V. Motygin
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages112-117
Number of pages6
ISBN (Electronic)9781728103136
ISBN (Print)978-1-7281-0313-6
DOIs
Publication statusPublished - 29 Nov 2018
EventInternational conference Days on Diffraction-2018 - St Petersburg
Duration: 4 Jun 20188 Jun 2018

Publication series

NameProceedings of the International Conference Days on Diffraction, DD 2018

Conference

ConferenceInternational Conference on Days on Diffraction (DD)
CountryRussian Federation
CitySt Petersburg
Period4/06/188/06/18

Scopus subject areas

  • Mechanics of Materials
  • Safety, Risk, Reliability and Quality
  • Computational Mathematics
  • Astronomy and Astrophysics
  • Radiation

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