Using 0–1 test to diagnose periodic and chaotic motions of nonlinear vortex-induced vibration energy harvesters

Abstract

Nonlinear wind-induced vibration energy harvesters have rich response dynamic behaviors, and diagnosing these response characteristics is crucial for promoting their application. This paper uses the analysis method of “0–1 test” to distinguish response characteristics of bistable and tristable vortex-induced vibration energy harvesters (VIVEHs), and the identification results are compared with the phase portraits, frequency spectrum and Lyapunov exponents. Results indicate that the analysis method of “0–1 test” can effectively distinguish the periodic and chaotic behaviors of the nonlinear VIVEHs by the trajectories of p-q, asymptotic growth rate K(c) and the mean square displacement M_c(n). Overall, this study indicates that the “0–1 test” method is feasible and reliable for identifying the dynamic characteristics of nonlinear vibration energy harvesters, which is meaningful to the optimization analysis of such harvesters.