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

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

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
Volume38
Issue number5
DOIs
Publication statusPublished - 1 Jan 2015
Externally publishedYes

Fingerprint

Temperature distribution
temperature distribution
Boundary conditions
boundary conditions
nonlinearity
Synchronization
Mathematical models
Heat transfer
deflection
electric contacts
synchronism
mathematical models
heat transfer
vibration
interactions

Keywords

  • Beam
  • Contact interaction
  • Temperature

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics

Cite this

On a contact problem of two-layer beams coupled by boundary conditions in a temperature field. / Krysko, Anton V.; Awrejcewicz, Jan; Kutepov, Igor E.; Krysko, Vadim A.

In: Journal of Thermal Stresses, Vol. 38, No. 5, 01.01.2015, p. 468-484.

Research output: Contribution to journalArticle

Krysko, Anton V. ; Awrejcewicz, Jan ; Kutepov, Igor E. ; Krysko, Vadim A. / On a contact problem of two-layer beams coupled by boundary conditions in a temperature field. In: Journal of Thermal Stresses. 2015 ; Vol. 38, No. 5. pp. 468-484.
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