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Wyszukujesz frazę "Differential Transform Method" wg kryterium: Temat


Wyświetlanie 1-3 z 3
Tytuł:
Free vibration analysis of isotropic rectangular plates on Winkler foundation using differential transform method
Autorzy:
Kumar, Y.
Powiązania:
https://bibliotekanauki.pl/articles/265747.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
metoda transformacji
izotropia
differential transform method
isotropic
rectangular
Winkler foundation
Opis:
A differential transform method (DTM) is used to analyze free transverse vibrations of isotropic rectangular plates resting on a Winkler foundation. Two opposite edges of the plates are assumed to be simply supported. This semi-numerical-analytical technique converts the governing differential equation and boundary conditions into algebraic equations. Characteristic equations are obtained for three combinations of clamped, simply supported and free edge conditions on the other two edges, keeping one of them to be simply supported. Numerical results show the robustness and fast convergence of the method. Correctness of the results is shown by comparing with those obtained using other methods.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 2; 589-597
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A review: differential transform method for semi-analytical solution of differential equations
Autorzy:
Rashidi, M. M.
Rabiei, F.
Naser Nia, S.
Abbasbandy, S.
Powiązania:
https://bibliotekanauki.pl/articles/265637.pdf
Data publikacji:
2020
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
metoda transformacji różniczkowej
równania różniczkowe
metoda półanalityczna
differential transform method
differential transform - Pad'e approximation
semi-analytical method
differential equations
fuzzy differential transformation method
gS-differentiability
Opis:
In this article, the semi-analytical method known as the Differential Transform Method (DTM) for solving different types of differential equations is reviewed. First, basic definitions and formulas of DTM and Differential Transform-Padé approximation (DTM-Padé), which are used to increase the convergence and accuracy of DTM approximations, are discussed. Then both techniques of DTM and DTM-Padé, which have been successfully applied to partial differential equations, as well as the application of these methods in fluid mechanic and heat transfer are presented. In addition, the extension of DTM for integral differential equations and the fuzzy differential transformation method (FDTM) for fuzzy problems are discussed.
Źródło:
International Journal of Applied Mechanics and Engineering; 2020, 25, 2; 122-129
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Mixed convective fully developed flow in a vertical channel in the presence of thermal radiation and viscous dissipation
Autorzy:
Prasad, K. V.
Mallikarjun, P.
Vaidya, H.
Powiązania:
https://bibliotekanauki.pl/articles/265697.pdf
Data publikacji:
2017
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
mixed convection
thermal radiation
viscous dissipation
Differential Transform Method (DTM)
Perturbation Method (PM)
konwekcja mieszana
promieniowanie cieplne
metoda transformacji różnicowej
metoda zakłóceń
Opis:
The effect of thermal radiation and viscous dissipation on a combined free and forced convective flow in a vertical channel is investigated for a fully developed flow regime. Boussinesq and Roseseland approximations are considered in the modeling of the conduction radiation heat transfer with thermal boundary conditions (isothermal-thermal, isoflux-thermal, and isothermal-flux). The coupled nonlinear governing equations are also solved analytically using the Differential Transform Method (DTM) and regular perturbation method (PM). The results are analyzed graphically for various governing parameters such as the mixed convection parameter, radiation parameter, Brinkman number and perturbation parameter for equal and different wall temperatures. It is found that the viscous dissipation enhances the flow reversal in the case of a downward flow while it counters the flow in the case of an upward flow. A comparison of the Differential Transform Method (DTM) and regular perturbation method (PM) methods shows the versatility of the Differential Transform Method (DTM). The skin friction and the wall temperature gradient are presented for different values of the physical parameters and the salient features are analyzed.
Źródło:
International Journal of Applied Mechanics and Engineering; 2017, 22, 1; 123-144
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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