The purpose. To raise overall performance of spiral separator on the basis of development of the new theory of movement of a tuber of potato on its surface. That will enable to determine constructive and kinematic parameters of the developed construction of spiral separator of potato heap, ensure excellence of cleanout, and eliminate damage of tubers. Methods. Theoretical mechanics and higher mathematics. Results. The designed at the level of invention spiral separator ensures, by results of the lead experiments, necessary level of separation of ingredients of heap. That forms a foundation for the further determination of its most rational parameters and operating conditions. As a result of the carried out analytical research the equivalent scheme of interaction of a tuber of potato, approximated by a material corpuscle on a surface, organized by two console-mounted spirals (end-effectors of cleaner) is created. Spirals of separator are brought in gyrating driving and can simultaneously realize oscillating movements in longitudinal-vertical plane under action of varying load caused by continuous feed on cleanout of potato heap. Forces acting on it are affixed to a body of potato tuber. For the designed equivalent scheme the system is made which consists of three differential equations of movement of a body of potato tuber on the surface of the cavity, organized by two cantilever spirals. Conclusions. After necessary transformations and getting fixed parameters there is an opportunity to solve the gained set of equations on the PC and to probe effect of constructive and kinematic parameters of spiral separator of potato heap on speed of migration of a tuber. Kinematic and design parameters specified in such way will ensure improvement of quality of cleaning potato tubers from soil and vegetable admixtures.
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