Mathematical Model for Plate Elastic Properties Studying Based on Its Amplitude-Frequency Characteristics

the article describes a mathematical model for studying the elastic properties of a plate on its amplitude-frequency characteristics under the influence of an external disturbance. The methods of nonlinear mechanics were used to build the mathematical model. Based on the obtained equations, graphical dependences of amplitude-frequency characteristics for soft, linear, and rigid systems are constructed. The obtained results can be used in future studies of oscillatory processes in resonators.