Vibration Analysis of Cantilever Beam With Piezoelectric Layer under Aero-Elastic Force and Moving and Rotating Base Excitation

The theory of mechanical-vibration energy harvesting from the environment has been studied by researchers in the recent decade. In the present research, the vibration of the viscoelastic cantilever beam was analyzed with two piezoelectric layers including series and parallel connections. The beam was exposed under moving and rotating base excitation and aero-elastic force. The beam viscoelastic material was described using the generalized Kelvin-Voigt mechanical model. The aero-elastic force based on piston theory is considered while the base excitation is selected harmonic and randomly. The stress field coupling among the beam and piezoelectric as well as Gauss equation were utilized to extract the vibration and electrical equations respectively. The vibratory equation was converted into a set of ordinary differential equations using the Galerkin approach. The obtained equations with electrical equation were solved by the Runge-Kutta method numerically. Then, by studying the response of the governing equations, the effect of system parameters on the vibrational behavior of the beam and the output voltage was investigated. The results showed that the system and response frequencies are not affected via circuit connection types (series or parallel). The natural vibratory frequency is increased with enhancing the beam stiffness. The structural damping has a significant effect on the output voltage value. Also, the output voltage is increased by enhancing the environmental pressure.