Internal autoresonance in coupled oscillators with slowly decaying frequency
Agnessa Kovaleva1, Leonid I Manevitch2
1Space Research Institute, Russian Academy of Sciences, Moscow 117997, Russia.
Physical Review. E
|January 20, 2018
Summary
Internal autoresonance enables a linear oscillator to gain energy from a nonlinear one, even without external forcing. This phenomenon enhances the linear system's response while reducing the nonlinear actuator's.
Area of Science:
- Nonlinear dynamics
- Mechanical vibrations
- Energy transfer phenomena
Background:
- Resonance energy transfer is typically driven by external forces.
- Nonlinear oscillators can exhibit complex behaviors.
- Coupled oscillator systems are fundamental in physics and engineering.
Purpose of the Study:
- To investigate internal autoresonance in a nonlinear-actuator-linear-attachment system.
- To analyze energy transfer without external periodic forcing.
- To determine the influence of system parameters on autoresonance.
Main Methods:
- Analytical investigation of resonance energy transfer.
- Numerical simulations of coupled nonlinear and linear oscillators.
- Parameter space exploration for autoresonance stability.
Main Results:
- Demonstration of internal autoresonance: energy transfer from nonlinear to linear oscillator.
- Observed permanent response enhancement in the linear oscillator.
- Observed response reduction in the nonlinear oscillator.
- Identification of key system parameters governing autoresonance emergence and stability.
Conclusions:
- Internal autoresonance is a viable phenomenon in coupled nonlinear-linear systems.
- This effect allows for passive energy transfer and response modification.
- Understanding autoresonance is crucial for designing advanced vibration control and energy harvesting systems.
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