Approximate periodic solutions for the Helmholtz-Duffing equation

Authors:
H. Askari;Z. Saadatnia;D. Younesian;A. Yildirim;M. Kalami-Yazdi
Affiliations:
School of Railway Engineering, Iran University of Science and Technology, Tehran 16846, Iran;School of Railway Engineering, Iran University of Science and Technology, Tehran 16846, Iran;School of Railway Engineering, Iran University of Science and Technology, Tehran 16846, Iran;Department of Mathematics, Ege University, 35100 Bornova-İzmir, Turkey and Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA;School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, 16846, Iran
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 7
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He's frequency-amplitude formulation for nonlinear oscillators with an irrational force

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Periodic solutions for some strongly nonlinear oscillations by He's energy balance method

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Frequency analysis of strongly nonlinear generalized Duffing oscillators using He's frequency-amplitude formulation and He's energy balance method

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Asymptotic methods for vibrations of the pure non-integer order oscillator

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Corrigendum: Corrigendum to "Analysis of nonlinear oscillations of a punctual charge in the electric field of a charged ring via a Hamiltonian approach and the energy balance method" [Computers & Mathematics with Applications 62 (2011) 486-490]

Computers & Mathematics with Applications

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Abstract

Approximate periodic solutions for the Helmholtz-Duffing oscillator are obtained in this paper. He's Energy Balance Method (HEBM) and He's Frequency Amplitude Formulation (HFAF) are adopted as the solution methods. Oscillation natural frequencies are analytically analyzed. Error analysis is carried out and accuracy of the solution methods is evaluated.