unbalance

The developed mathematical model of a vibratory separator with sequential screen placement and spring suspension is nonlinear, unified, and parametric. It was derived based on the utilization of the second-order Lagrange equation and asymptotic methods of nonlinear mechanics. The model is intended for investigating the dynamics of the separator during its design and subsequent operation, particularly for selecting its optimal design parameters and determining the conditions of steady-state and transient operating modes.

Goal of the article is to develop a mathematical model of the behavior of the variable structure system that are affected by oscillations. The dynamic of variable structure systems is considered on the example of а motion of the inertial vibrating exciter on elastic supports. Significance. A large number of mathematical models of elastic system dynamic under the action of moving inertial load mostly covers only the general approach to solving these problems, or describes a specific type of equipment that is narrowly used in certain industries.