Advanced Mathematical Models & Applications

As a result of the theoretical and experimental analysis carried out in the article, a mathematical model has been developed and solved for the problem of the formation and development of the dispersion region during the simultaneous twisting and bending of the tubular cylindrical piezoceramic element of a micro piezoelectric motor, which ensures the movement of the optical mirror used for directing optical signals in FSO (Free-Space Optical Communication). In the general case, curves expressing the motion of the dispersion front have been constructed using numerical computation methods. To calculate the longevity of piezo motors made from tubular cylindrical piezoceramic material operating under mechanical effects of bending and twisting, the influence of forces on the width and height of the cylinder has been analyzed, and the effect of the piezoceramic material on both the stabilization of dispersion and its propagation speed has been studied.