Математична модель коливального руху спіралі очисника картоплі від домішок

Abstract

The purpose. To study oscillating process of working spirals of cleanser of potato from admixtures for intensification and improvement of quality of the process. Methods. Theoretical researches are carried out with the use of basic methods of simulation, higher mathematics, theoretical mechanics and strength of materials. In particular, methods of research of oscillations of elastic and strained Bernulli-Eiler rods are used. Krylov’s special functions, and also methods of creation of programs and numerical modeling by means of PC are applied. Results. New construction of cleanser of heap from admixtures which is applied at digging up of potato from soil is developed and consists of console installed clearing spiral springs. At simultaneous rotational and oscillating movements springs qualitatively clear and carry tubers. Simultaneously spirals self-clean themselves. Theoretical researches of oscillating motion of cleanser made it possible to determine optimum constructive and kinematic parameters. New differential partial equation of oscillations of console cleaning spiral was made. Analytical solution of that equation had allowed to gain the law of oscillating process of cleaning spiral in view of its length for any instant and to evaluate its deformation. Conclusions. At modeling on the PC it has been established that at angular velocity of twirl of spiral equal to 30 rad. s–1, density of material of spiral equal to 7700 kg m–3, coefficient of elasticity equal to E = 2 1011 Pa, radius of a bar of cleaning spiral equal to 8,5 mm, and uniformly distributed load, equal to 1000 N m–1, the full sag of a spiral on its length varies within the limits from 0 up to 0,25 m. That ensures quality of cleaning and transportation of tubers of potato.