Quasiperiodic energy harvesting in a forced and delayed Duffing harvester device

This paper studies quasiperiodic vibration-based energy harvesting in a forced nonlinear harvester device in which time delay is inherently present. The harvester consists of a delayed Duffing-type oscillator subject to a harmonic excitation and coupled to a piezoelectric circuit. We consider the case of a monostable system and we use perturbation techniques to approximate quasiperiodic responses and the corresponding averaged power amplitudes near the primary resonance. The influence of different system parameters on the performance of the quasiperiodic vibration-based energy harvesting is examined and the optimal performance of the harvester device in term of time delay parameters is studied. It is shown that in the considered harvester system the induced large-amplitude quasiperiodic vibrations can be used to extract energy over broadband of excitation frequencies away from the resonance, thereby avoiding hysteresis and instability near the resonance.