Nonlinear Dynamics of a 2DOF Magneto-Mechanical Harvester

The nonlinear two-degree-of-freedom (2DOF) harvester system based on magnetic levitation is modelled and investigated. The equations of motions have been derived while taking into account magnetic nonlinearity. The experimental relationships of magnetic forces versus the distance between the magnets were determined. Based on these dependencies a strongly nonlinear model of a system with two degrees of freedom was proposed. A proper configuration of transducer parameters can improve energy harvesting. Therefore, an effort is made to assess the influence of electromechanical coupling and coil resistance. Finally, the obtained results allowed the determination of nonlinear effects in the investigated system.