Autor: Şahin, Önur - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Vibration of a composite elastic beam on an inhomogeneous elastic foundation
Autorzy:: Sahin, Onur
Powiązania:: https://bibliotekanauki.pl/articles/1839827.pdf
Data publikacji:: 2020
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: composite beam
elastic foundation
low-frequency vibration
perturbation method
belka kompozytowa
belka zespolona
podłoże sprężyste
metoda zaburzeń
wibracje niskiej częstotliwości
Opis:: The lowest vibration modes of a composite beam resting on an inhomogeneous elastic foundation in the case of a clamped-free boundary condition are investigated. It is observed that the relation between the frequency and foundation constant has an effect on the valid solution of the problem. An asymptotic procedure is employed to derive the eigenfrequencies as well as the eigenforms revealing that only under certain conditions on the ratios of material parameters. Numerical illustrations are presented to confirm that the obtained asymptotic frequencies agree well with the exact frequencies in the lowest frequency range. Comparisons of asymptotic and exact displacements are also presented and a remarkable agreement is observed for high-contrast beam components.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 2; 107-119
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

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

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