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    Wyświetlanie 1-6 z 6
    Tytuł:
    Three-point bending of an expanded-tapered beam with consideration of the shear effect
    Autorzy:
    Magnucki, Krzysztof
    Lewiński, Jerzy
    Magnucka-Blandzi, Ewa
    Stawecka, Hanna
    Powiązania:
    https://bibliotekanauki.pl/articles/2055049.pdf
    Data publikacji:
    2020
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    expanded-tapered
    beamshear deformation theory
    shear stresses
    Opis:
    The paper is devoted to an expanded-tapered beam of rectangular cross section subjected to three-point bending. The analytical model of the beam is formulated with consideration of a non-linear hypothesis of the cross section deformation. The problem of shear stress distribution in the beam is analysed based on the above mentioned hypothesis. Moreover, a numerical FEM model (SolidWorks) is developed. Examplary computations have been carried out based on the analytical and numerical models.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2020, 58, 3; 661--672
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Bending of a stepped sandwich beam: the shear effect
    Autorzy:
    Kustosz, Joanna
    Magnucki, Krzysztof
    Goliwąs, Damian
    Powiązania:
    https://bibliotekanauki.pl/articles/38890053.pdf
    Data publikacji:
    2022
    Wydawca:
    Instytut Podstawowych Problemów Techniki PAN
    Tematy:
    stepped sandwich beam
    clamped ends
    shear effect
    bending
    Opis:
    This paper is devoted to the stepped sandwich beam with clamped ends subjected to a uniformly distributed load. The bending problem of the beam is formulated and solved with consideration of the classical sandwich beam of constant face thickness. Two differential equations of equilibrium based on the principle of the stationary potential energy of the classical beam are obtained and analytically solved. Moreover, numerical-FEM models of the beams are developed. Deflections for an exemplary beam family with the use of two methods are calculated. The results of the study are presented in figures and tables.
    Źródło:
    Engineering Transactions; 2022, 70, 4; 373-390
    0867-888X
    Pojawia się w:
    Engineering Transactions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Free axisymmetric flexural vibrations of circular plate with symmetrically varying mechanical properties supported on elastic foundation
    Autorzy:
    Magnucki, Krzysztof
    Powiązania:
    https://bibliotekanauki.pl/articles/2146562.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Poznańska. Instytut Mechaniki Stosowanej
    Tematy:
    circular plate
    elastic foundation
    shear effect
    axisymmetric flexural vibration
    płyta kołowa
    podłoże sprężyste
    efekt ścinania
    osiowosymetryczne drgania giętne
    Opis:
    The subject of the paper is a circular plate with clamped edge supported on elastic foundation. Mechanical properties of the plate symmetrically vary in its thickness direction. Free axisymmetric flexural vibration problem of the plate with consideration of the shear effect is analytically studied. Two partial differential equations of motion based on the Hamilton principle are obtained. The system of equations is analytically solved and the fundamental natural frequency of axisymmetric vibration for example plates is derived.
    Źródło:
    Vibrations in Physical Systems; 2020, 31, 2; art. no. 2020217
    0860-6897
    Pojawia się w:
    Vibrations in Physical Systems
    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:
    Strength of a bent sandwich beam with clamped ends
    Autorzy:
    Kustosz, Joanna
    Magnucki, Krzysztof
    Goliwąs, Damian
    Powiązania:
    https://bibliotekanauki.pl/articles/33342991.pdf
    Data publikacji:
    2023-11-30
    Wydawca:
    Sieć Badawcza Łukasiewicz - Poznański Instytut Technologiczny
    Tematy:
    Deflection
    Classical sandwich beam
    Supports – clamped ends
    Shear effect
    Stresses
    Opis:
    The subject of the work is a symmetrical sandwich beam with clamped ends under uniformly distributed load. The system of two equilibrium equations, formulated taking into account the literature, was solved analytically. The function of the shear effect and the maximum deflection of the beam were determined. The stress state at the clamped end of the beam is described in detail. The significant influence of the shear effect on the normal stresses in the outer layers of the beam near the clamped end was indicated. Exemplary calculations were made for the adopted family of beams. Moreover, the numerical FEM model of the beam was developed and calculations were made for this adopted family of beams. A comparative analysis of the obtained results was carried out.
    Źródło:
    Rail Vehicles/Pojazdy Szynowe; 2023, 1-2; 3-7
    0138-0370
    2719-9630
    Pojawia się w:
    Rail Vehicles/Pojazdy Szynowe
    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 1-6 z 6

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