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Wyszukujesz frazę "Pasternak foundation" wg kryterium: Temat

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    Wyświetlanie 1-6 z 6
    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 vibration analysis of porous functionally graded piezoelectric microplates resting on an elastic medium subjected to electric voltages
    Autorzy:
    Wu, C.-P.
    Lin, E.-L.
    Powiązania:
    https://bibliotekanauki.pl/articles/38695702.pdf
    Data publikacji:
    2022
    Wydawca:
    Instytut Podstawowych Problemów Techniki PAN
    Tematy:
    consistent couple stress theory
    functionally graded material
    Winkler-Pasternak foundation
    piezoelectric microplates
    porous microplates
    vibration
    Opis:
    Basing on the consistent couple stress theory (CCST), we develop a unified size-dependent shear deformation theory to analyze the free vibration characteristics of simply supported, porous functionally graded (FG) piezoelectric microplates which resting on the Winkler-Pasternak foundation are subjected to electric voltages. Various CCST-based shear deformation theories can be reproduced by incorporating their corresponding shape functions, which characterize the through-thickness distributions of the shear deformations, into the unified size-dependent theory. The reproduced CCST-based plate theories include the classical plate theory (CPT), the first-order shear deformation plate theory (SDPT), Reddy’s refined SDPT, the sinusoidal SDPT, the exponential SDPT, and the hyperbolic SDPT. The unified size-dependent theory is subsequently used to determine the natural frequencies of simply supported, porous FG piezoelectric microplates and their corresponding vibration mode shapes. The effects of the material length scale parameter, the length-to-thickness ratio, the material-property gradient index, different values of the applied voltages, the porosity parameter, different porosity distribution patterns, the Winkler spring coefficient, and the shear modulus of the surrounding medium on the natural frequencies of the porous FG piezoelectric microplates are examined and appear to be significant.
    Źródło:
    Archives of Mechanics; 2022, 74, 6; 463-511
    0373-2029
    Pojawia się w:
    Archives of Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    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:
    Dynamic stability of a cracked pipe conveying fluid and resting on a Pasternak elastic foundation
    Autorzy:
    Lolov, Dimitar
    Lilkova-Markova, Svetlana
    Powiązania:
    https://bibliotekanauki.pl/articles/2203084.pdf
    Data publikacji:
    2022
    Wydawca:
    Politechnika Śląska. Wydawnictwo Politechniki Śląskiej
    Tematy:
    pipe
    fluid
    dynamic stability
    crack
    critical velocity
    Pasternak elastic foundation
    rura
    płyn
    stabilność dynamiczna
    pęknięcie
    prędkość krytyczna
    Opis:
    Pipeline transport is used worldwide in many sectors of the economy. Its main advantages are continuity of transport, large transportation volumes, small energy consumption, safety, reliability and high environmental benefits. However, the safety problems of pipes attract much interest in science and industry. This paper deals with a cracked pipe with a static scheme of a simply supported beam. It rests along its entire length on a Pasternak elastic foundation. The flowing fluid is considered non-compressible and heavy. The Galerkin method is employed to approach the problem numerically. Conclusions are drawn based on the influence of the crack and the parameters of the Pasternak elastic foundation on the critical flow velocity of the fluid.
    Źródło:
    Zeszyty Naukowe. Transport / Politechnika Śląska; 2022, 117; 103--113
    0209-3324
    2450-1549
    Pojawia się w:
    Zeszyty Naukowe. Transport / Politechnika Śląska
    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 1-6 z 6

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