Frequency dependent iteration method for forced nonlinear oscillators

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• 作者：T. Hoang ; ^{tien.hoang@enpc.fr} ; D. Duhamel ; G. Foret ; H.P. Yin ; P. Argoul
• 关键词：Forced nonlinear oscillator ; Harmonic balance method ; Iteration procedure ; Duffing oscillator
• 刊名：Applied Mathematical Modelling
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：42
• 期：Complete
• 页码：441-448
• 全文大小：863 K
• 卷排序：42

文摘

A new iteration method is developed for forced nonlinear oscillators. The iteration schemas for low and for high harmonics are proposed differently. A sufficient condition of the schema’s convergence is proposed and proved. The schemas can converge to different solutions of the same frequency.