In this paper, we develop a validated nonlinear distributed-parameter model for harvesting energy from vortexinduced vibrations. The harvester consists of a piezoelectric cantilever beam with a circular cylinder attached to its end. By using the Euler-Lagrange principle and implementing the Galerkin discretization, a reduced-order model is derived. Based on a five-mode approximation in the Galerkin approach, an identification for the van der Pol wake oscillator coefficients is performed. Further analysis is performed to investigate the effects of the cylinder's tip mass and electrical load resistance on the synchronization region and performance of the harvester. The results show that, depending on the operating freestream velocity, the cylinder's tip mass can be optimized to design enhanced piezoaeroelastic energy harvesters from vortex-induced vibrations.
Dai, H., Abdelkefi, A., Ni, Q., & Wang, L. (2014). Modeling and identification of circular cylinder-based piezoaeroelastic energy harvesters. In Energy Procedia (Vol. 61, pp. 2818–2821). Elsevier Ltd. https://doi.org/10.1016/j.egypro.2014.12.297