Abstract
The paper presents an extended averaged equation approach to the investigation of nonlinear vibration problems. The proposed method is applied to some free and self-excited oscillators, the Duffing's forced oscillators including main resonance, subharmonic resonance and super harmonic resonance. The results in analyzing the vibration systems with arbitrary non-linearity show advantages of the method.
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Anh, N.D., Hai, N.Q. & Schiehlen, W. Nonlinear vibration analysis by an extended averaged equation approach. Nonlinear Dyn 47, 235–248 (2007). https://doi.org/10.1007/s11071-006-9070-8
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DOI: https://doi.org/10.1007/s11071-006-9070-8