Multiple Solutions of the Tristable Energy Harvester

This paper presents the results of numerical simulations a non-linear, tristable system for harvesting energy from vibrating mechanical devices. Detailed model tests were carried out in relation to consisting beam and three permanent magnets. Based on derived mathematical assuming range control parameter variability, three-dimensional image distribution largest Lyapunov exponent was plotted. On its basis, regions chaotic predictable movement considered exist have been established. With reference selected plane cross-sections, possible co-existing solutions identified. To identify multiple solutions, diagram (DS) used illustrate number existing their periodicity. The proposed calculation tool is based so-called fixed points Poincaré cross-section. In values ω, coexisting periodic identified which phase trajectories basins attraction presented. out, it found that order efficiently harvest energy, appropriate transducer adjustment required. Calibration necessary obtain greatest amplitude vibration beam, corresponds trajectory limited by external potential barriers. As expected, average voltage induced electrodes piezoelectric electrical power recorded resistive element are directly proportional kinetic beam.