Design of a vibrating machine for dry cleaning of root vegetables using nonlinear mathematical and three-dimensional modeling

Abstract

The design of a highly efficient vibrating machine for dry cleaning root vegetables of various types, shapes, and sizes has been developed. First, a schematic diagram of the machine was built, containing all the future machine’s main components. A nonlinear mathematical model was constructed to describe its dynamics during its operation to determine the future machine’s optimal geometric, kinematic, and power parameters. The mathematical model is based on the apparatus of asymptotic methods of nonlinear mechanics and Lagrange’s equations. Based on the schematic diagram of the machine and the obtained parameters, three-dimensional and twodimensional models of the machine were developed in the environment of the Autodesk Inventor Professional 2025 CAD system, which will make it possible to manufacture it further. The obtained geometric models will become the basis for the direct manufacture of this vibrating machine for dry cleaning of root vegetables, and the mathematical model for describing its dynamics will allow choosing the optimal operating parameters of this equipment. The presence of the vibrating machine of a working chamber with a cylindrical mesh, rods, placement of the working chamber on vertical springs, and the drive by two independent unbalances ensure the cleaning of root vegetables without the use of water (dry method) with the removal of contaminants outside the machine, reduce operating energy costs, improve the quality and productivity of the cleaning process, make its continuity possible, increase the reliability of the machine and the versatility of its use for cleaning various types of root vegetables.