Nonlinear Modeling and Stability Analysis of Piezoelectric Energy Harvesting Mechanism Under Aeroelastic Vibration

Abstract

The present research work is focused on the mechanism of harvesting electrical energy from the oscillation of the bluff body placed in airflow. A rectangular bluff body is attached to the tip of a cantilever beam which has a portion embedded with piezoelectric layers. A geometrically nonlinear distributed parameter model is derived using extended Hamilton's principle for both parallel and series connections of piezoelectric patches and solved using Newmark-beta method. Polynomial representation of aerodynamic force is done using quasi-steady hypothesis. It is found that nonlinear damping coefficients play a significant role in determining the stability of the system. System bifurcates (Hopf-bifurcation) and goes into a limit cycle after a particular wind speed. The radius of the limit cycle increases with wind speed. Approximately, 0.36 mW electric power can be generated at a wind speed of 7 m/s.

Uncertainty analysis of galloping based piezoelectric energy harvester system using polynomial neural network

“…A theoretical study was carried to estimate the effects of electrical load resistance on the power output (Vicente-Ludlam et al, 2014) and they found the optimal electrical resistance load that maximizes the power output for each flow velocity. A recent study (Dash et al, 2020, 2022), the effects of different order representations of the aerodynamic force on the behavior of GPEH system is investigated. A finite element model is proposed to investigate the dynamic characteristics of the GPEH system (Dash et al, 2021a, 2021b).…”