Modeling of Vibration Mechanisms for Treatment of Granular Media

A study of the amplitude-frequency characteristics of working bodies taking the form of thin rectangular plates working in a granular medium is presented. Results were obtained for the case of elastic oscillations having large deflections using Bolotin’s asymptotic method. The solution to the problem is obtained in the form of Jacobi elliptic functions. The amplitude-frequency characteristics of the vibration mechanism’s plate working body are given for various specific gravity coefficient values. A “pseudofluid” model is adopted as a simulated granular medium. An “attached mass” model is used to estimate the influence of the granular medium on the amplitude-frequency characteristics.