PIEZOELECTRIC VIBRATION ENERGY HARVESTERS AND DYNAMIC ANALYSIS BASED ON THE SPINNING BEAM

In order to study the piezoelectric vibration energy harvesting problem of the forced vibration of a spinning beam structure under the combined effect of axial forces and external excitation on the beam, this paper proposes to use the Green's function method to solve the analytical solution of the voltage under the forced vibration of the spinning piezoelectric energy harvester. The extended Hamilton's principle and PZT-5A piezoelectric constitutive relationship are used to develop a force-electric coupling model for the spinning piezoelectric energy harvester of forced vibration based on the Euler-Bernoulli beam theory. Utilizing the Laplace transform, the explicit expressions of the Green's function of the coupled vibration equations can be acquired. Based on the linear superposition principle and the physical significance of the Green's function, the coupled system equations are decoupled to find the analytical solution of the voltage of the spinning piezoelectric energy harvester under forced vibration. In the numerical calculation, the validity of the solution of this paper is verified by comparing the present solution with the result of the existing literature as well as experimental result. The relationship between the piezoelectric response and physical parameters such as resistance and spinning speed of the energy harvester is analyzed separately. This research suggests that piezoelectric response of the spinning energy harvester increases with increasing resistance until the resistance reaches the optimal load resistance; the maximum output voltage of the energy harvester can be increased by turning up the spinning speed; by reducing the axial force, the high fundamental frequency of the energy harvester can be improved while maintaining the efficient operation of the energy harvester. © 2023 Chinese Journal of Theoretical and Applied Mechanics Press. All rights reserved.