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 language | English |
|---|---|
| Pages (from-to) | 468-484 |
| Number of pages | 17 |
| Journal | Journal of Thermal Stresses |
| Volume | 38 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 Jan 2015 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - On a contact problem of two-layer beams coupled by boundary conditions in a temperature field
AU - Krysko, Anton V.
AU - Awrejcewicz, Jan
AU - Kutepov, Igor E.
AU - Krysko, Vadim A.
PY - 2015/1/1
Y1 - 2015/1/1
N2 - 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.
AB - 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.
KW - Beam
KW - Contact interaction
KW - Temperature
UR - http://www.scopus.com/inward/record.url?scp=84929457022&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84929457022&partnerID=8YFLogxK
U2 - 10.1080/01495739.2015.1015848
DO - 10.1080/01495739.2015.1015848
M3 - Article
VL - 38
SP - 468
EP - 484
JO - Journal of Thermal Stresses
JF - Journal of Thermal Stresses
SN - 0149-5739
IS - 5
ER -