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Investigating bifurcations and chaos in magnetopiezoelastic vibrating energy harvesters using Melnikov theory

In this paper, we present a bifurcation and chaos analysis of a magnetopiezoelastic vibration energy harvester including inductance. We explain the behavior of these energy harvesters, particularly in the chaotic regime. We analyzed the model by using the Melnikov method, bifurcation diagrams, Lyapunov exponents and spectral methods. We determined the conditions for the onset of transition to chaos. This allows us to bound the regions of control parameters where the system displays desired chaotic oscillations and thus characterize the maximal harvestable power for this particular architecture.