- Tytuł:
- Approximate formulation of the rigid body motions of an elastic rectangle under sliding boundary conditions
- Autorzy:
-
Şahin, Önur
Erbaş, Barış
Wilson, Brent - Powiązania:
- https://bibliotekanauki.pl/articles/1837937.pdf
- Data publikacji:
- 2021
- Wydawca:
- Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
- Tematy:
-
elastic rectangle
low frequency
rigid body motion
perturbation schemes
sliding boundary conditions - Opis:
- Low-frequency analysis of in-plane motion of an elastic rectangle subject to end loadings together with sliding boundary conditions is considered. A perturbation scheme is employed to analyze the dynamic response of the elastic rectangle revealing nonhomogeneous boundary-value problems for harmonic and biharmonic equations corresponding to leading and next order expansions, respectively. The solution of the biharmonic equation obtained by the separation of variables, a consequence of sliding boundary conditions, gives an asymptotic correction to the rigid body motion of the rectangle. The derived explicit approximate formulae are tested for different kinds of end loadings together with numerical examples demonstrating the comparison against the exact solutions.
- Źródło:
-
Acta Mechanica et Automatica; 2021, 15, 2; 82-90
1898-4088
2300-5319 - Pojawia się w:
- Acta Mechanica et Automatica
- Dostawca treści:
- Biblioteka Nauki
Artykuł