Abstract
The article justifies both the necessity and technical and economic feasibility of the creation of a new technical system for the synthesis of cylindrical gears and its supporting mathematical models and information technologies, taking into account the life cycle of gears. The structure of the technical system, the concept, and the principles of creation and operation are presented. The considered system will allow synthesizing gears with higher qualitative indicators and providing validation of all the stages of its life cycle.
Generalized unified mathematical and logical model of direct and inverse shaping of flat gear systems with an arbitrary profile and use of the theory of affine space mapping has been developed.
Features of approaches to the solution of mathematical models and creation of algorithms in this paper consist of the following:
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Refusal to describe the profiles of details and tools by equations in favor of point sets.
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Refusal in most problems to derive equations to determine the wanted points of the profile in favor of certain conditions.
It is shown that information cross-cutting technologies of product life cycle stages can be used not only to increase efficiency, productivity, and profitability of business processes but also to classify kinematic schemes of formation, create new mechanisms, or radically improve what is already known, using new processing methods, technological processes, expansion of the field of existence of the stages of a life cycle of products, generalizing matmodels, information technologies, and modern technical means.
A paper on a specific example reveals the features of direct and reverse shaping of gears, taking into account the points of fracture, undercutting, displacement of the original forming contour, the required size and shape of the allowance, and the sequence of technological shaping.