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Wyszukujesz frazę "FGM beam" wg kryterium: Temat

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    Wyświetlanie 1-3 z 3
    Tytuł:
    Bending, buckling and free vibration of a beam with unsymmetrically varying mechanical properties
    Autorzy:
    Magnucki, K.
    Lewiński, J.
    Magnucka-Blandzi, E.
    Kędzia, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/279585.pdf
    Data publikacji:
    2018
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    FGM beam
    mathematical modelling
    numerical FEM calculations
    Opis:
    The subject of the paper is a beam with unsymmetrically varying mechanical properties in the depth direction. The nonlinear hypothesis of plane cross section deformation is assumed. Based on Hamilton’s principle, two differential equations of motion are obtained. The system of equations is analytically solved with a view to analyse the bending, buckling and free vibration problems of the beam. Moreover, the FEM model of the beam is developed and deflections, critical axial forces and natural frequencies of the beam are calculated. The results of these two methods are compared.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2018, 56, 4; 1163-1178
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Transient analysis of transversely functionally graded Timoshenko beam (TFGTB) in conjunction with finite element method
    Autorzy:
    Khafaji, Salwan Obaid Waheed
    Al-Shujairi, Mohammed A.
    Aubad, Mohammed Jawad
    Powiązania:
    https://bibliotekanauki.pl/articles/140231.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    FGM beam
    transient response
    free vibration
    fundamental frequency
    finite element method
    Timoshenko beam theory
    Opis:
    In this work, transient and free vibration analyses are illustrated for a functionally graded Timoshenko beam (FGM) using finite element method. The governing equilibrium equations and boundary conditions (B-Cs) are derived according to the principle of Hamilton. The materials constituents of the FG beam that vary smoothly along the thickness of the beam (along beam thickness) are evaluated using the rule of mixture method. Power law index, slenderness ratio, modulus of elasticity ratio, and boundary conditions effect of the cantilever and simply supported beams on the dynamic response of the beam are studied. Moreover, the influence of mass distribution and continuous stiffness of the FGM beam are deeply investigated. Comparisons between the current free vibration results (fundamental frequency) and other available studies are performed to check the formulation of the current mathematical model. Good results have been obtained. A significant effect is noticed in the transient response of both simply supported and cantilever beams at the smaller values of the power index and the modulus elasticity ratio.
    Źródło:
    Archive of Mechanical Engineering; 2020, LXVII, 3; 299-321
    0004-0738
    Pojawia się w:
    Archive of Mechanical Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The analysis of non-linear free vibration of FGM nano-beams based on the conformable fractional non-local model
    Autorzy:
    Rahimi, Z.
    Sumelka, W.
    Shafiei, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/201202.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    FGM nano beam
    nonlinear free vibration
    fractional calculus
    integer stress
    non-integer stress
    gradient’s order
    fractional non-local model
    rachunek różniczkowy
    FGM
    drgania swobodne
    Opis:
    Continuum models generalized by fractional calculus are used in different mechanical problems. In this paper, by using the conformable fractional derivative (CFD) definition, a general form of Eringen non-local theory as a fractional non-local model (FNM) is formulated. It is then used to study the non-linear free vibration of a functional graded material (FGM) nano-beam in the presence of von-Kármán non-linearity. A numerical solution is obtained via Galerkin and multiple scale methods and effects of the integer and non-integer (fractional) order of stress gradient (in the non-local stress-strain relation) on the ratio of the non-local non-linear natural frequency to classical non-linear natural frequency of simply-supported (S-S) and clamped-free (C-F) FGM nano-beams are presented.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 5; 737-745
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-3 z 3

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