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In this paper, a model of an electromagnetic system with two levitating magnets is presented. Modeling was performed using the results of experiments. The data obtained make it possible to fit the magnetic forces between two magnets using a 5th order polynomial. The time series show that dry friction constitutes an important part of damping forces. The differential equations of motion consider strong nonlinearities of magnetic and damping forces. These terms cause the nonlinear hardening effect. The energy recovered by magnetic induction is dissipated in the resistors. Numerical simulations show that resistance has an impact on magnet dynamics and energy recovery. From the resonance characteristics obtained, optimal resistance is determined when energy recovery is the highest. [ABSTRACT FROM AUTHOR]

• The novel model of the system with two independent harvesting sources for vibration mitigation and energy recovery is proposed. • The new indicators for vibration mitigation and energy harvesting description are proposed. • The common region for vibration mitigation and energy harvesting has been found. This paper focuses on vibration mitigation and energy harvesting in a coupled oscillator-pendulum system. Generally, the concept of a vibration-based energy harvester is similar to a vibration absorber, it is naturally desired to use the same system for simultaneous vibration reduction and energy recovery. However, a problem of whether or not vibration mitigation and energy recovery is contradictory has arisen, based mainly on the intuition that the former tries to reduce vibration while the latter profits from large vibrations. In the paper, the pendulum construction is modified by the use of two independent electromagnetic harvester systems. The first harvester is based on oscillation of a levitating magnet in a coil. The second device is a DC electrical motor mounted in the pendulum's pivot. An effort is made to obtain comparison of an energy harvesting/vibration mitigation effectiveness of both harvesters. We propose new indicators to find a consistency between vibration suppression and energy recovery, and compliance regions were detected. Finally, we confirm some results by the means of a comparison with an experiment. The study gives an answer about effectiveness of the both harvesters and suggests that the proposed concept can be useful in practice. [ABSTRACT FROM AUTHOR]

The paper presents an analytical, numerical and experimental analysis of the special designed system for energy harvesting. The harvester system consists of two identical magnets rigidly mounted to the tube's end. Between them, a third magnet is free to magnetically levitate (pseudo-levitate) due to the proper magnet polarity. The behaviour of the harvester is significantly complicated by a electromechanical coupling. It causes resonance curves to have a distorted shape and a new solution from which the recovered energy is higher is observed. The Harmonic Balance Method (HBM) is used to approximately describe the response and stability of the mechanical and electrical systems. The analytical results are verified by a numerical path following (continuation) method and experiment test with use of a shaker. The influence of harvester parameters on the system response and energy recovery near a main resonance is studied in detail. [ABSTRACT FROM AUTHOR]