Modelling and Investigation of Temperature Influence on Normal Mode of the Layer Oscillations

• Autorzy: Nahirnyj T. , Tchervinka K.
• Konferencja: Symposium Vibrations in Physical Systems (XXI ; 26-29.05.2004 ; Poznań-Kierz, Polska)
• Języki publikacji: EN

Abstrakty

EN

In this paper the boundary value problems for local gradient body are formulated and investigated. Using averaging over oscillation period operation there is obtained the set of differential equations for determining the averaged and wave components of thermo-elastic fields. The methods for approximate integration of this set are proposed (using expansion over the small parameter of the problem). The normal mode layer oscillations are studied for various mechanical conditions at the layer surfaces (fixed surfaces, one surface is fixed, both surfaces are free). The analysis of equations for normal mode frequency is carried out. The frequencies dependences on temperature and parameters being characteristics of interface nonhomogeneity are studied.

Słowa kluczowe

EN

boundary value; layer oscillations; thermo-elastic field

PL

wartość brzegowa; oscylacje warstwowe; pole termoelastyczne

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2004
• Tom: Vol. 21
• Strony: 279--282
• Opis fizyczny: Bibliogr. 4 poz., wz.

Twórcy

autor

Nahirnyj T.

• University of Zielona Góra, al. Wojska Polskiego 69, 65-762 Zielona Góra, Poland, Center of Mathematical Modelling NASU

autor

Tchervinka K.

• Ivan Franko Lviv National University, 1 Universytets'ka str., 79602 Lviv, Ukraine

Bibliografia

• 1. Ya. Burak, T. Nahirnyj, Mathematical modelling of local gradient processes in iner tial thermomechanical systems, Appl. mech., 6 (1992) 3-23 (in Russian).
• 2. Yu. Mytropol'skyj, Averaging methods in nonlinear mechanics, Kiev 1971 (in Rus sian).
• 3. N. Bogolubov, Yu. Mytropol'skyj, Asymptotic methods in theory of nonlinear oscil lations, Moscow 1974 (in Russian).
• 4. T. Nahirnyj, O. Hrytsyna, To Describe Admixture Effects on Thin Film Free Frequen cies, XX Symp. Vibration in physical systems. Poland, Poznan' 2002, May 21-25. Abstracts and Invited Lectures. Р.236-237.