What question did this study set out to answer?

This research aims to analyze the nonlinear dynamics and stability of a harmonically excited Duffing oscillator coupled with a nonlinear energy sink.

July 2, 2026MathematicsOpen Access

Bifurcation, Stability, and Nonlinear Vibration Analysis of a Harmonically Excited Duffing Oscillator Coupled with a Two-Degree-of-Freedom Nonlinear Energy Sink

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Authors

AAAhmad AlmutlgQassim University GMGalal M. MoatimidAin Shams University TAT. S. AmerTanta University

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Implication

Randomized trial assesses dynamics and stability in a Duffing oscillator with a nonlinear energy sink, indicating significant impact of parameters on behavior.

Key Points

This research aims to analyze the nonlinear dynamics and stability of a harmonically excited Duffing oscillator coupled with a nonlinear energy sink.
Investigated nonlinear dynamics using non-perturbation approach without small-parameter assumptions
Analyzed governing nonlinear ordinary differential equations
Compared analytical results with numerical simulations for validation.
Significant effects of nonlinear coupling and stiffness parameters on response amplitudes and stability
Identified transitions between periodic, quasi-periodic, and chaotic regimes
Revealed multi-stability and sensitivity to initial conditions.

Cite This Study

Almutlg et al. (2026) studied this question.

synapsesocial.com/papers/6a4600a29ed1343031310b50 https://doi.org/10.3390/math14132315

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Implication

Randomized trial assesses dynamics and stability in a Duffing oscillator with a nonlinear energy sink, indicating significant impact of parameters on behavior.

Bifurcation, Stability, and Nonlinear Vibration Analysis of a Harmonically Excited Duffing Oscillator Coupled with a Two-Degree-of-Freedom Nonlinear Energy Sink

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Cite This Study

Bifurcation, Stability, and Nonlinear Vibration Analysis of a Harmonically Excited Duffing Oscillator Coupled with a Two-Degree-of-Freedom Nonlinear Energy Sink

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