Abstract
The method of recurrence plots and joint recurrence plots are considered as tools for the nonlinear analysis of a dimensionless model of magnetoelastric piezoelectric energy harvester under wind flow excitation with low Reynolds number. The dynamics of the system is investigated by considering the bifurcation of the recurrence rate, the laminarity and the determinism and illustrations of system response are presented though the recurrence plots and phase diagrams. In order to enhance the efficiency of the system, a second degree of freedom is added to the mechanical part. The method of joint recurrence plot is used to analyze the global synchronization of the system. In this spirit, a feedback Master-Slave configuration is adopted to ensure optimal synchronized mechanical excursion and thus maximal electric voltage harvested in the electric load. Throughout the paper, attention is focussed on the effects of feedback coupling and mistuning parameter, as well as the relevance of the method of recurrence plots and joint recurrence plots in the analysis of such system. Specifically, it is shown that the joint recurrence plot synchronization parameter effectively detects domain of maximal output electric power as well as domain of out-of-phase motion leading to minimal output power.
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