The benefits of the vertical spindle picker and its main disadvantage are the facts that the frictional rotation of spindles around their axes is largely due to the decline in cotton picking. It is explained that the absolute velocity of the tooth is to be within certain limits so that the spindle tooth can be trapped, and that the tooth has sufficient velocity for the tooth to pull out the cotton fibers. The absolute speed of the tooth depends on the geometric sum of Vm, the velocity of the drum, the velocity of the drum VB, and the spin speed of the spindle. Vm and VB are not changed, but Vs vary for different reasons. As a result, the direction and extent of the tooth’s absolute speed changes, and the dialing rate decreases. The authors believe that friction ribbons should be at their intended level to prevent the fall in cotton harvesting.

The content of the paper is based on the mathematical construction of the parametric equation of the epi- and hypocycloid curve described by a circle point. The purpose of the paper is to present the equations of epi- and hypocycloids in a parametric form in relation to the epi- and hypocyclic mechanism in a form convenient for calculation; to present the results of computational experiments on constructing phase trajectories of motion of a moving point of an epi- and hypocycloid. A detailed analysis of the analytical model of epi- and hypocycloids circumscribed by a point of a circle (on a moving circle) has been made. The equations of epi- and hypocycloids are presented in parametric form as applied to the epi- and hypocyclic mechanism in a form convenient for calculation. The results of studies on the construction of phase trajectories of a moving point of an epi- and hypocycloid with an analysis of the obtained curves are presented. The analytical model of epi- and hypocycloids is of practical importance, since it allows designing geared linkage mechanisms formed by attaching two-wire Assur group of various modifications to the planetary mechanism, as the primary mechanism.

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