Abstract

The actual problem of the formation of complex curved surfaces of the blade channels of solid impellers (unicycles) of a gas turbine engine is formulated and presented. When forming GTE unicycles on CNC machines, mathematical difficulties arise because of the discreteness of the task of the working surfaces of the blades, the low rigidity of the end tools, the complexity of their trajectory, the high probability of damage to the surfaces of the blades when they are inadvertently in contact with the tool - “undercuts”. A detailed analysis of the specialized literature is performed. It is established that for the processing of GTE unicycles, milling of blade channels by end mills on CNC machines is used. Other technological methods are also used, for example, hydroabrasive treatment on a 5-coordinate CNC machine, shaping with a ring tool. The low universality of the listed methods and technologies, the use of laborious methods for the analytical description of the surfaces of parts and tools, toolpaths of cutting tools are noted. The issues of geometric analysis of the surfaces of the gas channel, bounded by the pressure side and back of the adjacent blades, as well as by the section of the monowheel hub, are considered. The rationale for the choosing the shaping scheme depending on the geometry of the gas channel is given. A universal methodology based on the analysis of the geometric information about the part has been developed and described for calculating the parameters of the tool path when processing unicycles, which can be used in processing with point and linear contact of the part and tool. A mathematical model of the gas channel shaping on a four-coordinate CNC machine has been developed, a methodology and algorithm for calculating control geometric information for the shaping of GTE unicycles on a CNC machine have been obtained. A promising area of application of the results is their inclusion in the structure of CAD / CAM systems.

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