Modelling and numerical simulation of parametric resonance phenomenon in vibrating screen

In this paper the numerical studies of parametric resonance phenomenon in vibrating screen are presented. Numerical simulations are performed in Ansys Workbench software. Modal analysis is carried out to find the natural frequencies and mode shapes of the sieve. The effect of the excitation frequency on the sieve vibrations in parametric resonance conditions was investigated using the transient analysis. The comparison of numerical and experimental results is presented. It is shown, that two mode shapes of sieve vibrations occur close to the screen operation frequency. Linear dependence between excitation frequency and sieve vibration frequency is obtained. The most stable transient response and the highest vibration amplitude of the sieve is obtained for excitation frequency 47.07 Hz. The range of excitation of parametric resonance is nearly the same as for experimental data.