Abstract
<jats:p>The article presents the results of an experimentally conducted and mathematically processed study of the mutual influence of the rotational frequencies of two driving shafts and the inclination angle of the working container relative to the horizontal in a tumbling machine specially designed for processing light industry components on the motion regime of the workpiece bulk within the working container. A developed experimental research plan is presented for studying the influence of the inclination angle of the geometric axis of a cylindrical working container of a tumbling machine on the motion regime of the workpiece bulk in a working container with complex spatial motion. The influence of the container inclination angle on the motion regime of the workpiece bulk in the working container was experimentally investigated for various inclination angles. Mathematical models were obtained that establish the relationship between the rotational frequencies of the relative and carrier driving shafts of the machine of the developed design, at which a transition of the motion regime of the workpiece bulk in the container from cascading to cascading–waterfall occurs; their adequacy was verified. It was established that varying the inclination angle of the working container, measured at the vertically upper position of the crank, from a smaller to a larger technologically feasible value leads to the necessity of reducing the carrier rotational frequency and simultaneously increasing the relative rotational frequency of the driving shafts of the tumbling machine in order to ensure a cascading–waterfall motion of the workpiece bulk. To maintain an unchanged motion regime of the workpieces in the container with the driving shaft responsible for the carrier motion of the workpiece bulk stopped, an increase in the inclination angle of the container from a smaller to a larger value requires an increase in the rotational frequency of the shaft responsible for the relative motion of the container. Conversely, with the driving shaft responsible for the relative motion of the container stopped, an increase in the inclination angle necessitates a decrease in the rotational frequency of the shaft responsible for the carrier motion of the container. The obtained results can be used to determine the rotational frequencies of the driving shafts required for processing workpieces of a specific assortment in order to achieve optimal processing results on the machine of the developed design.</jats:p>