Mathematical modeling of resonant linear vibratory conveyor with electromagnetic excitation: simulations and experimental results

Vibratory conveyors are commonly used in industry for transporting a wide variety of bulk and particulate materials. Various control structures based on state observers can be found in the literature. However, they are mostly based on simplified mathematical models. In order to obtain a more precise state observer, and consequently better performance and (or) control quality, more detailed mathematical model of the resonant vibratory conveyor is required. Mathematical model of a resonant linear vibratory conveyor driven by an electromagnetic excitation force is presented. Derivation of the mathematical model is based on the kinetic and potential energies, dissipative function of the mechanical system, and Lagrangian formulation. A simulation model is implemented on the basis of the derived mathematical equations. The simulation results are presented and compared to the experimental results obtained by a real industrial vibratory conveyor.