Sustained high-frequency energy harvesting through a strongly nonlinear electromechanical system under single and repeated impulsive excitations

High-frequency vibration energy harvesting from impulsive excitation utilizing intentional dynamic instability caused by strong nonlinearity

“…These impulsive orbits correspond to impulsive excitation of the primary system according to initial conditions (19). The previous work in [23,26,27] indicates that orbits of the lightly damped system in the neighborhood of the high-frequency IOM result in strong energy transfers from the primary system to the nonlinear attachment, which is beneficial for harvesting energy from the NES. These strong energy transfers take the form of "transient bursts" (instabilities) in the response of the nonlinear attachment, which arise at bifurcation points along damped transitions near the IOM.…”

“…Bursts in the response of the NES arise at bifurcation points along damped transitions in the neighborhood of the IOM, resulting in strong energy transfers from the directly excited primary system to the NES. This feature was exploited theoretically in [27] to produce superior energy harvesting performance for the same system with piezoelectric coupling elements and a simple circuit. The principal aim of this study is to show experimentally that high-frequency dynamic instabilities in the response of (15) exist and can provide an effective mechanism for vibration energy harvesting.…”

“…The dynamics of the underlying Hamiltonian system derived from (15) can be depicted in a frequency-energy plot (FEP), which is thoroughly explained in [23,26,27,30]. The underlying Hamiltonian system is obtained by removing the damping, electrical, and forcing terms from (15), by setting b 1 = b 2 = b e = F (t) = 0.…”

“…The computational study of system (17) is initiated by considering a single impulsive input to the primary system according to (19) and studying the resulting damped transitions via wavelet analysis, as described in the previous section. The numerical simulations carried out in this section are performed with several parameters resulting from an experimental apparatus designed and developed in previous works [23,26,27] by the authors. The experimental apparatus used in this study can be seen in Fig.…”

“…The authors in [26] expand upon the previous work to predict the presence of these transitions in the neighborhood of the high-frequency branch of the IOM and again prove the existence experimentally. Remick et al [27] theoretically explore the ap-plication of this high-frequency dynamic instability in an energy harvesting system utilizing piezoelectric coupling elements. The authors showed that the system can be placed into a state of sustained, high-frequency dynamic instability under impulsive loading conditions, which results in superior energy harvesting performance.…”