Abstract.The new approach to profiling of the tool for processing of parts with periodic not evolvent profiles are considered in the article The discriminatory analysis of periodic profiles including repetition of profile both in the plane of perpendicular axis of part, and in the plane of passing along part of axis is offered. In the basis of the offered profiling method the idea of space shaping by rated surface of product of tool surface lies. The big advantage of the offered approach in profiling is its combination with the analysis of parameters of process of engineering work. It allows to predict the accuracy and surface quality of product with not evolvent periodic profile. While using the offered approach the pinion cutter for processing of wheels with internal triangular teeths and mill for processing of the screw of the counter of consumption of liquid, complex profile of which consists of several formings, have been received RelevanceIn modern mechanical engineering, the products containing complex periodic not evolvent profiles which are widely used to torque transfer in set of mechanisms of machines and devices. Variants of form of profiles vary widely. In addition to traditional evolvent profile (cogwheels with evolvent teeths, connections with the help of involute splines) the triangular, cycloidal, trapezoidal and other profiles are also widely used. ( fig. 1) It is caused by constructive purpose of certain mechanism and advantages of each of profiles. For example for cycloidal profile it is the possibility of essential change of contact ratio, reduction of quantity of teeths on gear wheel, without possible cutting, reduction of sliding speed of profiles; for triangular one it is the transfer of big torsion torques at thin-walled plugs and hollow shafts; for spindle gearing it is bigger gear ratio in planetary reducer at rather high efficiency and compactness of transfer. [1,2] The great variety of helicoids of different profile is applied in products of the machine-building direction. The main advantages of screw mechanisms are the constant gear ratio, the possibility of obtaining large axial forces, the ease of achievement of self-braking, high accuracy of movement, reliability and durability. Helicoids ( fig. 1) can also be attributed to periodic profiles on a number of grounds, such as the presence of a complex profile, which is repeated with a certain step, but unlike the gear and spline teeth and joints, it is repeated in the plane passing along the axis of the product. In these products forming may consist of a set of straight lines and curves of the second or more orders of magnitude. The products with a helical surface are also received by the method of running-in which can be both with axis of gravity and without it. When processing helicoids the probability of undercut of profile of product is high that it is necessary to predict and to take into account when designing the tool. The kinematics of processing of helicoids is much more difficult than toothed and slit ones which complica...
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