Abstract
Transversal vibrations of a screen for a fine granular material are studied using both analytical and numerical methods. In the analytical approach the motion of the screen is described by partial differential equations. The general solution of the screen free vibrations is derived from variables separation method. In the numerical computations the finite element method is applied. The screen compound geometry and the mass of the granular material are considered. Screen natural frequencies and natural mode shapes are determined. Numerical results are compared with the analytical solution. The screen geometry simplifications are proposed and validated by benchmark tests. The presented research allows determining the impact of the fine–granular material mass on the vibrating screener. The influence of the granular material on the screen natural frequencies is also investigated. It is important to note that the results of this research provide practical hints for vibrating screens designers.
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