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Wyszukujesz frazę "shear deformation theory" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
Bending of a generalized circular sandwich plate under a concentrated force with consideration of an improved shear deformation theory
Autorzy:
Magnucki, K.
Magnucka-Blandzi, E.
Wittenbeck, L.
Powiązania:
https://bibliotekanauki.pl/articles/38695688.pdf
Data publikacji:
2022
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
circular sandwich plate
shear deformation theory
axisymmetric bending
Opis:
The paper is devoted to an axisymmetric bending problem of a generalized circular sandwich plate with continuous variation of mechanical properties in the thickness direction of the core. The plate is clamped and carries a concentrated force in its center. The improved shear deformation theory of the normal straight line to the neutral surface is elaborated. The deformation of this normal straight line is graphically presented for the exemplary sandwich structures of the plate. Two differential equation of equilibrium of the plate are obtained based on the principle of stationary potential energy. This system of equations is analytically solved and the maximum deflection of the example plates are derived. Moreover, the deformation of the normal strain line and the maximum deflection of the plate are calculated numerically (FEM). Results of these calculations are compared.
Źródło:
Archives of Mechanics; 2022, 74, 4; 267-282
0373-2029
Pojawia się w:
Archives of Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Three models of a sandwich beam: bending, buckling, and free vibrations
Autorzy:
Magnucki, Krzysztof
Magnucka-Blandzi, Ewa
Wittenbeck, Leszek
Powiązania:
https://bibliotekanauki.pl/articles/38884025.pdf
Data publikacji:
2022
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
shear deformation theory
deflection; critical load
fundamental natural frequency
Opis:
This paper is devoted to the analytical modelling of a sandwich beam. Three models of this beam are elaborated. Two nonlinear individual shear theories of deformation of a plane cross-sections are proposed. Based on Hamilton’s principle, two differential equations of motion for each model are obtained. The bending, buckling and free flexural vibration problems of the simply-supported sandwich beam considering these three models are studied. The results of these analytical investigations are presented in tables.
Źródło:
Engineering Transactions; 2022, 70, 2; 97-122
0867-888X
Pojawia się w:
Engineering Transactions
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Three-point bending of a beam with non-homogeneous structure in the depth direction
Autorzy:
Magnucki, Krzysztof
Magnucka-Blandzi, Ewa
Witkowski, Dawid
Wittenbeck, Leszek
Powiązania:
https://bibliotekanauki.pl/articles/38912690.pdf
Data publikacji:
2023
Wydawca:
Instytut Podstawowych Problemów Techniki PAN
Tematy:
non-homogeneous beam
shear deformation theory
three-point bending
Opis:
This paper is devoted to the behavior of a non-homogeneous simply supported beam under three-point bending. The individual shear deformation function of a planar cross-section is adopted, and longitudinal displacements, strains, and stresses for two parts of the beam are explained. By applying the principle of stationary potential energy, a system of two differential equations of equilibrium is derived and solved analytically. The positions of the neutral axis, shear coefficients, and deflections are then calculated for three different beam families. Additionally, the bending problem of these beams is studied numerically using the finite element method (FEM). The results of both analytical and numerical calculations are presented in tables and figures. The main contribution of this paper lies in the development of an analytical model incorporating the individual shear deformation function and a numerical FEM model for this beam.
Źródło:
Engineering Transactions; 2023, 71, 4; 645-665
0867-888X
Pojawia się w:
Engineering Transactions
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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