Trajectory of 1DOF Vibro-impact Oscillator under Initial Velocity Change from Steady State under VMF Excitation

Abstract

The effect of perturbations in initial velocity form steady state of undamped vibro-impact 1DOF oscillation is studied under excitation from vibration manipulation function, which was designed in three-vibro-impact oscillator under Grover algorithm. Quasi-periodic impact oscillations or almost-periodic impact oscillations in simulations were explained as state transitions on circular orbit in Poincare map from analytic formula of operators in the three-vibro-impact oscillator. In simulations chaotic divergence from long quasi-period oscillation was observed in the perturbed system just after the occurrence of Graze, which was explained as the function of a mal operator without impact from Grover algorithm.