Resonance vibration of impact oscillator with biharmonic excitation
Vladimir Burd
TL;DR
This paper investigates the resonance vibrations of a damped impact oscillator driven by a biharmonic force, focusing on the conditions for the existence and stability of almost periodic resonance solutions.
Contribution
It provides new insights into the conditions under which resonance solutions exist and remain stable in impact oscillators with biharmonic excitation.
Findings
Derived conditions for resonance existence
Analyzed stability of resonance solutions
Identified parameters influencing resonance stability
Abstract
We consider a damped impact oscillator subject to the action of a biharmonic force. The conditions for the existence and stability of almost periodic resonance solutions are investigated.
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Taxonomy
TopicsNonlinear Dynamics and Pattern Formation · Quantum chaos and dynamical systems · Stability and Controllability of Differential Equations