On a contact problem of two-layer beams coupled by boundary conditions in a temperature field

Anton V. Krysko, Jan Awrejcewicz, Igor E. Kutepov, Vadim A. Krysko

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4 Citations (Scopus)


We consider a mathematical model of two-layer beams coupled by boundary conditions in a stationary temperature field taking into account geometric nonlinearity. The stationary temperature field is defined by a 2D heat transfer equation with boundary conditions of the first kind. The geometric nonlinearity is introduced via von Kármán's relations for both beams. Equations of beam deflection are derived due to the Euler-Bernoulli hypothesis. The contact interaction is described using Winkler's model. Scenarios of a transition from regular to chaotic regimes are studied. Phase synchronization of beam vibrations versus both character and intensity of the applied temperature field is investigated.

Original languageEnglish
Pages (from-to)468-484
Number of pages17
JournalJournal of Thermal Stresses
Issue number5
Publication statusPublished - 1 Jan 2015
Externally publishedYes



  • Beam
  • Contact interaction
  • Temperature

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

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