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    Wyświetlanie 1-3 z 3
    Tytuł:
    Buckling of heated temperature dependent FGM cylindrical shell surrounded by elastic medium
    Autorzy:
    Sabzikar Boroujerdy, M
    Naj, R
    Kiani, Y
    Powiązania:
    https://bibliotekanauki.pl/articles/279968.pdf
    Data publikacji:
    2014
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    cylindrical shell
    thermal buckling
    Pasternak foundation
    functionally graded materials
    Opis:
    Based on the Donnell theory of shells combined with the von-Karman type of geometrical nonlinearity, three coupled equilibrium equations for a through-the-thickness functionally graded cylindrical shell embedded in a two parameter Pasternak elastic foundation are ob- tained. Equivalent properties of the shell are obtained based on the Voigt rule of mixture in terms of a power law volume fraction for the constituents. Properties of the constituents are considered to be temperature dependent. The temperature profile through the shell thick- ness is obtained by means of the central finite difference method. Linear prebuckling analysis is performed to obtain the prebuckling forces of the cylindrical shell. Stability equations are derived based on the well-known adjacent equilibrium criterion. Three coupled partial dif- ferential stability equations are solved with the aid of a hybrid Fourier-GDQ method. After validating the numerical results, some parametric studies are conducted to investigate the influence of various parameters, especially foundation interaction. It is shown that elastic foundation enhances the critical buckling temperature difference of the shell and violates the buckled pattern.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2014, 52, 4; 869-881
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    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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