Temat: Differential Transform Method - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Application of the differential transform method to the free vibration analysis of functionally graded timoshenko beams
Autorzy:: Özdemir, Ö.
Powiązania:: https://bibliotekanauki.pl/articles/281244.pdf
Data publikacji:: 2016
Wydawca:: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
Tematy:: differential transform method
functionally graded beam
Timoshenko beam
Opis:: In this study, free vibration characteristics of a functionally graded Timoshenko beam that undergoes flapwise bending vibration is analysed. The energy expressions are derived by introducing several explanotary figures and tables. Applying Hamilton’s principle to the energy expressions, governing differential equations of motion and boundary conditions are obtained. In the solution part, the equations of motion, including the parameters for rotary inertia, shear deformation, power law index parameter and slenderness ratio are solved using an efficient mathematical technique, called the differential transform method (DTM). Natural frequencies are calculated and effects of several parameters are investigated.
Źródło:: Journal of Theoretical and Applied Mechanics; 2016, 54, 4; 1205-1217
1429-2955
Pojawia się w:: Journal of Theoretical and Applied Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

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

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Skocz do pozycji: 3.

Tytuł:: Application of the multi-step differential transform method to solve a fractional human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells
Autorzy:: Zurigat, M.
Ababneh, M.
Powiązania:: https://bibliotekanauki.pl/articles/357712.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Rzeszowska im. Ignacego Łukasiewicza. Oficyna Wydawnicza
Tematy:: fractional differential equations
differential transform method
HTLV-I
numerical solution
równanie różniczkowe cząstkowe
obliczenia numeryczne
Opis:: Human T-cell Lymphotropic Virus I (HTLV-I) infection of $CD4^{+}$ T-Cells is one of the causes of health problems and continues to be one of the significant health challenges. In this article, a multi-step differential transform method is implemented to give approximate solutions of fractional modle of HTLV-I infection of $CD4^{+}$ T-cells. Numerical results are compared to those obtained by the fourth-order Runge-Kutta method in the case of intger-order derivatives. The suggested method is efficient as the Runge-Kutta method. Some plots are presented to show the reliability and simplicity of the method.
Źródło:: Journal of Mathematics and Applications; 2015, 38; 171-180
1733-6775
2300-9926
Pojawia się w:: Journal of Mathematics and Applications
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

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

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Skocz do pozycji: 5.

Tytuł:: The Generalized Differential Transform Method for solution of a free vibration linear differential equation with fractional derivative damping
Autorzy:: Das, Deepanjan
Powiązania:: https://bibliotekanauki.pl/articles/122961.pdf
Data publikacji:: 2019
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: fractional differential equations
Caputo fractional derivative
generalized
differential transform method
analytic solution
ułamkowe równania różniczkowe
ułamkowa pochodna Caputo
metoda transformacji różnicowej
rozwiązanie analityczne
ułamkowe równanie różniczkowe
Opis:: In the present paper, the Generalized Differential Transform Method (GDTM) is used for obtaining the approximate analytic solutions of a free vibration linear differential equation of a single-degree-of-freedom (SDOF) system with fractional derivative damping. The fractional derivatives are described in the Caputo sense.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 2; 19-29
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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