Bending Vibrations of Multilayered Plates

N. F. Morozov, P. E. Tovstik, T. P. Tovstik

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Abstract: Small longwave free bending vibrations of a multilayered plate with alternating rigid and soft layers are considered. Approximate ways of determination of the transversal shear flexibility necessary when replacing a multiplayer plate by an equivalent single-layered Timoshenko–Reissner plate are discussed. A comparison with the exact solution of the three-dimensional problem of the theory of elasticity is performed. The dependence of shear flexibility and vibration frequencies on the ratio of Young’s moduli of the layers and their arrangement is investigated.

Original languageEnglish
Pages (from-to)281-285
Number of pages5
JournalDoklady Physics
Issue number8
StatePublished - Aug 2020

Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Physics and Astronomy(all)


  • generalized Timoshenko–Reissner model
  • longwave bending vibrations
  • multilayered plate
  • transverse shear stiffness

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