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    Wyświetlanie 1-3 z 3
    Tytuł:
    Static behaviour of functionally graded plates resting on elastic foundations using neutral surface concept
    Autorzy:
    Van-Loi, Nguyen
    Minh-Tu, Tran
    Van-Long, Nguyen
    Quang-Huy, Le
    Powiązania:
    https://bibliotekanauki.pl/articles/1845053.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    static analysis
    functionally graded plate
    Winkler-Pasternak foundation
    physical neutral surface
    four-variable refined theory
    analiza statyczna
    podłoże typu Winkler-Pasternak
    fizycznie neutralna powierzchnia
    Opis:
    In this study, static behaviors of functionally graded plates resting on Winkler-Pasternak elastic foundation using the four-variable refined theory and the physical neutral surface concept is reported. The four-variable refined theory assumes that the transverse shear strain has a parabolic distribution across the plate’s thickness, thus, there is no need to use the shear correction factor. The material properties of the plate vary continuously and smoothly according to the thickness direction by a power-law distribution. The geometrical middle surface of the functionally graded plate selected in computations is very popular in the existing literature. By contrast, in this study, the physical neutral surface of the plate is used. Based on the four-variable refined plate theory and the principle of virtual work, the governing equations of the plate are derived. Next, an analytical solution for the functionally graded plate resting on the Winkler-Pasternak elastic foundation is solved using the Navier’s procedure. In numerical investigations, a comparison of the static behaviors of the functionally graded plate between several models of displacement field using the physical neutral surface is given, and parametric studies are also presented.
    Źródło:
    Archive of Mechanical Engineering; 2021, LVIII, 1; 5-22
    0004-0738
    Pojawia się w:
    Archive of Mechanical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Free Vibrations of Uniform Timoshenko Beams on Pasternak Foundation Using Coupled Displacement Field Method
    Autorzy:
    Rajesh, K.
    Saheb, K. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/140207.pdf
    Data publikacji:
    2017
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    free vibrations
    coupled displacement field method
    uniform Timoshenko beam
    Pasternak foundation
    drgania swobodne
    metoda CDF
    jednolita belka Timoshenko
    podłoże Pasternaka
    Opis:
    Complex structures used in various engineering applications are made up of simple structural members like beams, plates and shells. The fundamental frequency is absolutely essential in determining the response of these structural elements subjected to the dynamic loads. However, for short beams, one has to consider the effect of shear deformation and rotary inertia in order to evaluate their fundamental linear frequencies. In this paper, the authors developed a Coupled Displacement Field method where the number of undetermined coefficients 2n existing in the classical Rayleigh-Ritz method are reduced to n, which significantly simplifies the procedure to obtain the analytical solution. This is accomplished by using a coupling equation derived from the static equilibrium of the shear flexible structural element. In this paper, the free vibration behaviour in terms of slenderness ratio and foundation parameters have been derived for the most practically used shear flexible uniform Timoshenko Hinged-Hinged, Clamped-Clamped beams resting on Pasternak foundation. The findings obtained by the present Coupled Displacement Field Method are compared with the existing literature wherever possible and the agreement is good.
    Źródło:
    Archive of Mechanical Engineering; 2017, LXIV, 3; 359-373
    0004-0738
    Pojawia się w:
    Archive of Mechanical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Free Vibration Analysis of Mindlin Plates Resting on Pasternak Foundation Using Coupled Displacement Method
    Autorzy:
    Rajesh, K.
    Saheb, K. M.
    Powiązania:
    https://bibliotekanauki.pl/articles/139827.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    fundamental frequency parameter
    Mindlin plate
    linear free vibrations
    computational fluid dynamics
    CFD
    Pasternak foundation
    parametr częstotliwości podstawowej
    płyta Mindlina
    liniowe drgania swobodne
    obliczeniowa mechanika płynów
    podłoże Pasternaka
    Opis:
    The authors developed a simple and efficient method, called the Coupled Displacement method, to study the linear free vibration behavior of the moderately thick rectangular plates in which a single-term trigonometric/algebraic admissible displacement, such as total rotations, are assumed for one of the variables (in both X,Y directions), and the other displacement field, such as transverse displacement, is derived by making use of the coupling equations. The coupled displacement method makes the energy formulation to contain half the number of unknown independent coefficients in the case of a moderately thick plate, contrary to the conventional Rayleigh-Ritz method. The smaller number of undetermined coefficients significantly simplifies the vibration problem. The closed form expression in the form of fundamental frequency parameter is derived for all edges of simply supported moderately thick rectangular plate resting on Pasternak foundation. The results obtained by the present coupled displacement method are compared with existing open literature values wherever possible for various plate boundary conditions such as all edges simply supported, clamped and two opposite edges simply supported and clamped and the agreement found is good.
    Źródło:
    Archive of Mechanical Engineering; 2018, LXV, 1; 107-128
    0004-0738
    Pojawia się w:
    Archive of Mechanical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-3 z 3

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