Control of damping of mechanical vibrations in modeling conveyor transport systems

A mathematical model of a conveyor belt with a dynamic change in the angle between the horizontal plane and the plane of the conveyor belt is considered. The description of this model is carried out using a nonlinear system of ordinary differential equations in a four-dimensional phase space. The generalized function of axial resistance during conveyor movement is used. The switching law for fixing the horizontal position of the conveyor belt is proposed. The trajectory dynamics of this model is studied taking into account the variability of parameters. To describe the vibration damping of the conveyor belt, a model of a system with one degree of freedom is proposed. Graphs of the phase trajectories of the model are obtained taking into account the variability of the axial drag coefficient. The interpretation of the obtained results is given and the possibilities of using models are described.