On Large Amplitude Vibrations of the Softening Duffing Oscillator at Low Excitation Frequencies—Some Fundamental Considerations

On Large Amplitude Vibrations of the Softening Duffing Oscillator at Low Excitation Frequencies—Some Fundamental Considerations

The Duffing equation containing a cubic nonlinearity is probably the most popular example of a nonlinear oscillator. For its harmonically excited, slightly damped, and softening version, stationary large amplitude solutions at subcritical excitation frequencies are obtained when standard semi-analyt...

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Bibliographic Details
Main Authors: Utz von Wagner, Lukas Lentz, Hannes Dänschel, Nils Gräbner
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Applied Sciences
Subjects:
Duffing equation
softening behavior
harmonic balance
perturbation analysis
Online Access:https://www.mdpi.com/2076-3417/14/23/11411
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