Analysis and development of a systematic design procedure for energy harvesting systems based on piezoelectric-nonlinear energy sinks assembly for aeroelastic instabilities via the Method of Multiple Scales
Aeroelastic systems can operate in a self-excited mechanism. Under this condition, these can exhibit self-sustained oscillations resulting in a catastrophic unstable behavior or undesired limit cycle oscillations (LCOs). The mitigation and/or harvesting process of the energy contained in the structures when these phenomena take place has been received significant interest from the researchers. The present research proposal focuses on developing a systematic procedure for these self-excited problems to design piezoelectric energy harvesting systems enhanced by employing nonlinear energy sinks (i.e., referred to in this proposal by piezo-NES assembly). The used harvesting device comprises a NES with a small mass, pure cubic hardening stiffness, and linear viscous damping coupled to a piezoelectric transducer. Two aeroelastic problems are considered: ($i$) nonlinear flutter in a typical aeroelastic section ($ii$) galloping phenomenon in a square prism. For these two problems, the system's stability analysis with the piezo-NES will be investigated by using the Method of Multiple Scales (MMS). A parametric study will be carried out to verify the influence of piezo-NES parameters to harvest power from the primary system and suppress its LCO's amplitudes and the instabilities. The analysis of the Invariant Manifolds (IM) will be conducted to design appropriate piezo-NES parameters. Based on this analysis, the piezo-NES parameters are set according to the desired dynamic response, which in this work corresponds that gives more effective harvest process. With the execution of this research project, it will be expected to find conditions via MMS that result in a systematic procedure to design the piezo-NES for these problems, which can be easily expanded to be applied for other types of self-excited problems by using the same attachment.
News published in Agência FAPESP Newsletter about the scholarship: