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    Wyświetlanie 1-3 z 3
    Tytuł:
    Vibration analysis of three-layered nanobeams based on nonlocal elasticity theory
    Autorzy:
    Kammoun, N.
    Jrad, H.
    Bouaziz, S.
    Soula, M.
    Haddar, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/280463.pdf
    Data publikacji:
    2017
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    beams theories
    nonlocal elasticity theory
    vibration analysis
    GDQ method
    Opis:
    In this paper, the first investigation on free vibration analysis of three-layered nanobeams with the shear effect incorporated in the mid-layer based on the nonlocal theory and both Euler Bernoulli and Timoshenko beams theories is presented. Hamilton’s formulation is applied to derive governing equations and edge conditions. In order to solve differential equations of motions and to determine natural frequencies of the proposed three-layered nanobeams with different boundary conditions, the generalized differential quadrature (GDQM) is used. The effect of the nanoscale parameter on the natural frequencies and deflection modes shapes of the three layered-nanobeams is discussed. It appears that the nonlocal effect is important for the natural frequencies of the nanobeams. The results can be pertinent to the design and application of MEMS and NEMS.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2017, 55, 4; 1299-1312
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Nonlocal analysis of single and double-layered graphene cylindrical panels and nano-tubes under internal and external pressures considering thermal effects
    Autorzy:
    Dastjerdi, S.
    Lotfi, M.
    Jabbarzadeh, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/281706.pdf
    Data publikacji:
    2017
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    cylindrical graphene panels
    nano-tube
    nonlocal elasticity theory
    first-order shear deformation theory
    Opis:
    Mechanical behavior of a bilayer graphene cylindrical panel and nano-tube is studied based on nonlocal continuum mechanics with regard to this aim, von-Karman assumptions and nonlocal theory of Eringen are considered. Then, the governing equations and boundary conditions have been derived applying energy method. While analyzing the bilayer cylindrical panel, the van der Waals interaction between the layers is considered in calculations. The constitutive equations are developed for nano-tubes under internal and external pressures. In order to solve the governing equations, the semi-analytical polynomial method (SAPM), which was presented by the authors before, is utilized and bending behavior of bilayer cylindrical panels and nano-tubes is investigated. Finally, the effects of temperature, boundary conditions, elastic foundation, loading, van der Waals interaction between the layers and single layer to bilayer analyses are studied for graphene cylindrical panels and nano-tubes.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2017, 55, 3; 883-896
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Mechanical nature of a single walled carbon nanotube using Legendre’s polynomials
    Autorzy:
    Tiwari, P.
    Nagar, P.
    Powiązania:
    https://bibliotekanauki.pl/articles/279475.pdf
    Data publikacji:
    2018
    Wydawca:
    Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
    Tematy:
    Euler-Bernoulli’s beam theory
    nonlocal elasticity theory
    Legendre’s polynomial
    aspect ratio
    critical buckling load
    Winkler and Pasternak elastic constants
    Opis:
    This paper is concerned with the mechanical response of a single-walled carbon nanotube. Euler-Bernoulli’s beam theory and Hamilton’s principle are employed to derive the set of governing differential equations. An efficient variational method is used to determine the solution of the problem and Legendre’s polynomials are used to define basis functions. Significance of using these polynomials is their orthonormal property as these shape functions convert mass and stiffness matrices either to zero or one. The impact of various parameters such as length, temperature and elastic medium on the buckling load is observed and the results are furnished in a uniform manner. The degree of accuracy of the obtained results is verified with the available literature, hence illustrates the validity of the applied method. Current findings show the usage of nanostructures in vast range of engineering applications. It is worth mentioning that completely new results are obtained that are in validation with the existing results reported in literature.
    Źródło:
    Journal of Theoretical and Applied Mechanics; 2018, 56, 4; 1153-1162
    1429-2955
    Pojawia się w:
    Journal of Theoretical and Applied Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-3 z 3

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