A Mathematical Model Creation for Vibration Propagation in a Plate Based on the Concept of a Longitudinally Moving One-Dimensional Body

A mathematical model has been developed to describe the impact of the mechanical characteristics of plate materials on oscillation frequency. The construction of this model utilizes the fundamental concept of wave motion in longitudinally moving one-dimensional bodies and the Van der Pol method. The study examines the propagation of oscillations in both resonant and non-resonant cases for plates with varying elastic properties. The findings from this research can be applied to the optimization and configuration of electronic components in devices and equipment.