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Nonlinear vibration analysis by an extended averaged equation approach |
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| Authors: | Nguyen Dong Anh Ninh Quang Hai Werner Schiehlen |
| Affiliation: | (1) Institute of Mechanics, 264 Doi Can St. Ba Dinh distric, Hanoi, Vietnam;(2) Head of Mathematics Department, Hanoi Architectural University, Hanoi, Vietnam;(3) Institute of Engineering and Computational Mechanics, Stuttgart University, Stuttgart, Germany |
| 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. |
| Keywords: | Free oscillation Self-excited oscillation Main resonance Subharmonic resonance Super harmonic resonance Averaged |
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