Computing Simulation of the Generalized Duffing Oscillator Basedon EBM and MHPM

• Autorzy: Azimi A. , Azimi M.
• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with analytical approximate solutions, to the generalized Duffing oscillation. Modified Homotopy Perturbation Method (MHPM) and Energy Balance Method (EBM) are applied to solve nonlinear equation and consequently the relationship between the natural frequency and the initial amplitude is obtained in an analytical form. The general solution can be used to yield the relationship between amplitude and frequency in different strengths of nonlinearity. To verify the accuracy of the present approach, illustrative examples are provided and compared with exact solutions. The procedure yields rapid convergence with respect to the exact solution obtained by numerical integration.

Słowa kluczowe

EN

nonlinear oscillation; generalized Duffing equation; Modified Homotopy Perturbation Method; Energy Balance Method

PL

nieliniowe oscylacje; równanie Duffinga; metoda bilansu energetycznego

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2016
• Tom: Vol. 20, nr 4
• Strony: 595--604
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Azimi A.

• Department of Chemical Engineering, Collaege of Chemical Engineering, Mahshahr Branch, Islamic Azad University, Mahshahr, IRI

autor

Azimi M.

• Faculty of New Sciences and Technologies University of Tehran, Tehran, Iran

Bibliografia

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• [14] Azimi, A., Azimi, M. and Javanfar, A.: Application of HPM to find analytical solution of Coette flow with variable viscosity, Acta Mechanica et Automatica, 9, 1, 5–8, 2015.
• [15] Azimi, M. and Riazi, R.: Analytical solution of unsteady GO-water nanofluid flow and heat transfer between two parallel moving plates, Indian Journal of Chemical Technology, 23, 1, 47–52, 2016.
• [16] Azimi, M., Azimi, A. and Mirzaei, M.: Investigation of the unsteady graphene oxide nanofluid flow between two moving plates, Journal of Computational and Theoretical Nanoscience, 11, 10, 2104–2108, 2014.
• [17] Azimi, M. and Riazi, R.: Heat transfer analysis of magnetohydrodynamics graphene oxide-water nanofluid flow through convergent–divergent channels, Journal of Computational and Theoretical Nanoscience, 13, 1, 659–665, 2016.
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• [19] Azimi., M. and Azimi, A.: Investigation on Reaction Diffusion Process Inside a Porous Bio–Catalyst Using DTM, Journal of Bioequivalence and Bioavailability, 7, 123–126, 2015.