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Wyszukujesz frazę "pasternak" wg kryterium: Temat


Wyświetlanie 1-2 z 2
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:
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 1-2 z 2

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