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    Wyświetlanie 1-4 z 4
    Tytuł:
    Thermosensitive response of a functionally graded cylinder with fractional order derivative
    Autorzy:
    Lamba, Navneet Kumar
    Powiązania:
    https://bibliotekanauki.pl/articles/2174162.pdf
    Data publikacji:
    2022
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    termoczułość
    naprężenia termiczne
    wytwarzanie ciepła
    time fractional
    thermal stresses
    thick hollow cylinder
    internal heat generation
    FGMs
    thermosenstive
    Opis:
    The present paper deals with thermal behaviour analysis of an axisymmetric functionally graded thermosensitive hollow cylinder. The system of coordinates are expressed in cylindrical-polar form. The heat conduction equation is of time-fractional order02<α≤, subjected to the effect of internal heat generation. Convective boundary conditions are applied to inner and outer curved surfaces whereas heat dissipates following Newton’s law of cooling. The lower surface is subjected to heat flux, whereas the upper surface is thermally insulated. Kirchhoff’s transformation is used to remove the nonlinearity of the heat equation and further it is solved to find temperature and associated stresses by applying integral transformation method. For numerical analysis a ceramic-metal-based functionally graded material is considered and the obtained results of temperature distribution and associated stresses are presented graphically.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2022, 27, 1; 107--124
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Thermal stresses due to non-uniform internal heat generation in functionally graded hollow cylinder
    Autorzy:
    Rani, P.
    Singh, K.
    Muwal, R.
    Powiązania:
    https://bibliotekanauki.pl/articles/1839847.pdf
    Data publikacji:
    2021
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    źródło ciepła
    temperatura
    cylinder
    functionally graded material
    non-uniform heat source
    thermal stresses
    hollow thick cylinder
    temperature
    Opis:
    Thermal stresses of a functionally graded hollow thick cylinder due to non-uniform internal heat generation are studied in this paper. Analytical solutions are obtained with radially varying properties by using the theory of elasticity. Thermal stresses distribution for different values of the powers of the module of elasticity and varying power law index of heat generation are studied. The results have been computed numerically and illustrated graphically.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2021, 26, 2; 186-200
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Using the Erfi function in the problem of the shape optimization of the compressed rod
    Autorzy:
    Marcinowski, J.
    Sadowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/265861.pdf
    Data publikacji:
    2020
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    pręt ściskany
    optymalizacja kształtu
    wyboczenie
    program Mathematica
    compressed rod
    hollow rod
    shape optimization
    buckling criterion
    analytical approach
    Erfi function
    Opis:
    The shape of the optimal rod determined in the work meets the condition of mass conservation in relation to the reference rod. At the same time, this rod shows a significant increase in resistance to axial force. In the examples presented, this increase was 80% and 117%, respectively, for rods with slenderness of 125 and 175. A practical benefit from the use of compression rods of the proposed shapes is clearly visible. The example presented in this publication shows how great the utility in the structural mechanics can be, resulting from the applications of complex analysis (complex numbers). This approach to many problems can find its solutions, while they are lacking in the real numbers domains. What is more, although these are operations on complex numbers, these solutions have often their real representations, as the numerical example shows. There are too few applications of complex numbers in the technique and science, therefore it is obvious that the use of complex analysis should have an increasing range. One of the first people to use complex numbers was Girolamo Cardano. Cardano, using complex numbers, was solving cubic equations, unsolvable to his times – as the famous Franciscan and professor of mathematics Luca Pacioli put it in his paper Summa de arithmetica, geometria, proportioni et proportionalita (1494). It is worth mentioning that history has given Cardano priority in the use of complex numbers, but most probably they were discovered by another professor of mathematics – Scipione del Ferro (cf. [1]). We can see, that already then, they were definitely important (complex numbers).
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2020, 25, 2; 75-87
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Phase velocity and attenuation of longitudinal shear vibrations of hollow poroelastic cylinders
    Autorzy:
    Ahmed Shah, S.
    Javvad Hussaini, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/955126.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    prędkość fazowa
    tłumienie drgań podłużnych
    teoria Biota
    Biot's theory
    hollow cylinder
    shear waves
    frequency equation
    phase velocity
    attenuation
    wavenumber
    dissipation
    Opis:
    The present paper is devoted to the study of phase velocity and attenuation of longitudinal shear vibrations of hollow poroelastic circular cylinders in the presence of dissipation. The explicit expressions for phase velocity and attenuation of longitudinal shear vibrations are derived. The frequency equation of longitudinal shear vibrations and modes obtained in a previous paper are used to compute the phase velocity and attenuation for different dissipations for thin and thick poroelastic cylindrical shells and poroelastic solid cylinder. The physical parameters of sandstone saturated with kerosene and sandstone saturated with water are used for the purpose of computation. It is found that the phase velocity is linear beyond certain frequency. Phase velocity is smaller for a typical anti-symmetric mode compared to the flexural mode. It is greater for the second mode than that of the first mode. Also the phase velocity is larger for a thin poroelastic cylindrical shell than that of a thick poroelastic cylindrical shell. The same is true for attenuation also. Attenuation is very high for the considered dissipations and it increases with the increase in dissipation.
    Źródło:
    International Journal of Applied Mechanics and Engineering; 2014, 19, 2; 337-346
    1734-4492
    2353-9003
    Pojawia się w:
    International Journal of Applied Mechanics and Engineering
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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