Approximate periodic solutions for the Helmholtz-Duffing equation期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Approximate periodic solutions for the Helmholtz-Duffing equation

Authors:	H AskariZ Saadatnia D YounesianA Yildirim M Kalami-Yazdi

Affiliation:	^a School of Railway Engineering, Iran University of Science and Technology, Tehran 16846, Iran ^b Department of Mathematics, Ege University, 35100 Bornova-?zmir, Turkey ^c Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA ^d School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran, 16846, Iran

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.

Keywords:	Helmholtz-Duffing oscillator He&rsquo s Energy Balance Method He&rsquo s Frequency Amplitude Formulation
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