Modeling of parametrically excited vibrating screen

International Symposium on Dynamic Deformation and Fracture of Advanced Materials 2013

物理学;材料科学

Slepyan, L.I.^1 ; Slepyan, V.I.^2

School of Mechanical Engineering, Tel Aviv University, 69978 Tel Aviv, Israel^1

Loginov and Partners Mining Company, 2v Korolyova Avenue, 03134 Kiev, Ukraine^2

关键词: Comparative analysis;    Dynamic problem;    Elastic springs;    Exact analytical solutions;    Geometric non-linearity;    Lateral oscillations;    Longitudinal oscillations;    Parametric resonance;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/451/1/012026/pdf
DOI  :  10.1088/1742-6596/451/1/012026

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

The dynamic model of a RR-based rectangular vibrating screen is considered as an initially stretched system of two equal masses connected by a linearly elastic spring. Due to the geometric nonlinearity longitudinal oscillations of the masses and lateral oscillations of the spring are coupled. Under certain conditions, when the masses are subjected by a self-equilibrated periodic longitudinal action, the parametric resonance arises which amplitude is bounded by the nonlinearity. The dynamic problem is reduced to a system of two ordinary nonlinear equations. An exact analytical solution is found existing under some conditions. In a general case, the dynamics of this system is considered numerically. The dissipation in this process is estimated. A comparative analysis of the dynamics of conventional and PR-based screeners is presented. Based on the analysis of the model a vibrating screen machine was designed, built and set up in LPMC. The machine operated as predicted.