Nonlinear oscillators coupled by magnetic fields generated by electric coils connected in series and their applications in vibrations suppression and energy harvesting

In this paper an unique configuration of two nonlinear magneto-electro-mechanical oscillators coupled by magnetic fields produced by their electric coils connected in series is investigated in terms of numerical simulation and experimental analysis. The model of interaction between a permanent magnet and a single-layer electric coil existing in the literature is successfully adapted and applied to the interaction between magnet and multi-layer coil. Numerical analysis of coupled oscillators by using time histories, phase portraits and frequency characteristics is preceded by detailed mathematical modelling, identification and the study of the dynamics of the single oscillator. The identification of the key parameters of the system and experimental verification of the obtained simulation results are carried out based on the constructed experimental stand. It contains aerostatic supports allowing exact and axial guidance of the oscillators in linear motion without dry friction. A good agreement between numerical simulation and experimental data is achieved and illustrated, especially in terms of the values and shapes of the generated electromotive force and electrical power, which cannot be predicted in a simple way on the basis of empirical models. Eventually, some aspects of the investigated system in terms of vibrations suppression and energy harvesting are also considered and discussed.