Abstract
In this paper the stable operation domain of a parametric resonance (PR) based screen machine is thoroughly investigated. The dynamic model of a screen with two differential equations coupled by a geometric nonlinearity is applied to study the structural motion. In order to address the strong nonlinearities in the equations of motion the homotopy perturbation method (HPM) is used to compute the longitudinal and transverse oscillations. Since, under excessive excitation, the contact of the vibration screen and loaded materials displays undesirable vibro-impact response, the HPM is applied under impact and non-impact operation conditions. By considering appropriate technological parameters, including the maximum amplitude desired, spring stiffness, screen mass, initial velocity and acceleration, the best domain of excitation is calculated. The results provide the optimal parameter domain for a new design of vibrating screen, where the parametric oscillations are excited and the analytically-obtained steady oscillation regime is stable. The outcomes of this research respond to changes in the production quality and quantity required by customers and deliver a design guideline for engineers.
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