Mathematical model of root crops heads cleaner

Abstract

Working out of new designs of a drum cleaner of root crop heads is necessary at modernization of beet-harvesters. A drum cleaner, contacting to a root crop head, clears it of a leafy tops owing to compulsory drum rotation round a horizontal axis and its forward motion on a surface of a root crop head. An effective doffing of tops remains from a root crop head without its damage occurs under an influence of a maximum allowed force of a hold-down of a drum to a root crop head depending on force of the reaction of a root crop directed on a normal to a head surface. Thus, force of reaction of a root crop depends on a static stress, admissible for a root crop, and the area of contact of a drum and a root crop surfaces. The authors determined a necessary force of contact of a drum with a head in any point for ensuring process of a doffing of the top remains from a root crop head. A differential equation of the movement of a drum at full copying of a root crop head was offered. Due to received formulas it is possible to determinate an area of a contact spot, mass of a drum and hold-down force of a spring considering a stability of contact of a drum and a root crop. The authors worked out new mathematical model of interaction of a drum cleaner with a root crop head during doffing of leafy tops remains and gave mathematical dependences proving cleaner parameters.