A study on the linear piezoelectric motor of mode shape with Pi type base

In this study, we will discuss the gain of the linear piezoelectric motor of mode shape with Pi type base by theoretical derivation and computer simulation analysis respect to the linear piezoelectric motor of normal shape. In which the coating approach of the effective electrode surface of the linear piezoelectric motor is based on the function of mode shape. And the function is obtained from the equation of motion and boundary conditions through theoretical derivation. According to the results of the theoretical derivation and computer simulation analysis, we have found the gain of the linear piezoelectric motors of mode shape with Pi type base are larger than the linear piezoelectric motor of normal shape under the same driving conditions. In addition, we have also found the linear piezoelectric motor of mode shape 3 with Pi type base having the fastest axial velocity, which is about -62mm/s and 62mm/s under conditions of 180V
_p-p
driving voltage, 77.8kHz driving frequency (the third vibration modal), 25gw loading and the position of loading at x=-12mm & x=36mm respectively. And its axial or linear velocity is about 1.41 times the linear piezoelectric motor of normal shape with Pi type base under the same conditions. Finally, we have found that the gain or linear velocity of linear piezoelectric motor of mode shape with Pi type base is slightly larger than the linear piezoelectric motor of mode shape with n type base, which is about 1.3 times in average.