Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Acta Mechanica et Automatica

1 2021

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: sliding boundary conditions

Sortuj według:

Ogranicz wyniki do:

Approximate formulation of the rigid body motions of an elastic rectangle under sliding boundary conditions

Şahin Önur, Erbaş Barış, Wilson Brent

Acta Mechanica et Automatica

2021

Vol. 15, no. 2

82--90

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.