The method of multiple scales for forced oscillators with some real-power nonlinearities in the stiffness and damping force

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• 作者：Ivana Kovacic ^{ivanakov@uns.ac.rs}
• 刊名：Chaos, Solitons and Fractals
• 出版年：2011
• 出版时间：October, 2011
• 年：2011
• 卷：44
• 期：10
• 页码：891-901
• 全文大小：1K

文摘

The steady-state response of forced damped nonlinear oscillators is considered, the restoring force of which has a non-negative real power-form nonlinear term and the linear term of which can be negative, zero or positive. The damping term is also assumed in a power form, thus covering polynomial and non-polynomial damping. The method of multiple scales with a new expansion parameter is presented in order to cover the cases when the nonlinearity is not necessarily small. Amplitude-frequency equations and approximate solutions for the steady-state response at the frequency of excitation are obtained and compared with numerical results, showing good agreement.