A self-tuned rotative nonlinear vibration absorber and energy harvester: A conceptual case study

Abstract

In this work, we address the conceptual model of an innovative rotative non-linear vibration absorber (RNVA) with an inner oscillator in series with a piezoelectric element, which can simultaneously control a rigid cylinder's motion under parametric excitation, and harvest energy. The study is grounded on results obtained in previous publications, according to which the controlling features of the RNVA are enhanced after the standard constant rotation radius model is replaced by the self-tuned radius provided by the inner oscillator. Scenarios are numerically investigated for a range of relevant system parameters, considering the possibility of impact between the inner oscillator's mass and the cylinder internal wall. Qualitative analysis is also pursued using techniques such as the complexification/averaging and multiple scales methods, followed by stability analysis using, whenever possible, Lyapunov's first method, Poincaré map and Floquet theory, for impact-free cases.