Generative method creating the technology of part machining by cutting

An urgent task of modern science is the search and formalization of patterns and relationships between the design parameters of parts and technology of their manufacture. Article discusses main problems which prevent the creation of fully automatic systems for the design of products and technologies for their production. Purpose of this work is to consider the main tasks of technology design, formulate the key problems of formalizing the design process and present a non-trivial approach to solve them. In the general case, when designing a technology for manufacturing parts, two cornerstone tasks are solved: 1) ensuring the specified properties of the material of the part; 2) ensuring the geometric configuration of the part with regulated accuracy. Based on the results of consideration of a number of problems, the authors state the following. Axiomatic and tools of formal geometry of three-dimensional linear vector space cannot describe and display schemes for generating geometric configurations of objects, nor can they operate with non-ideal geometric shapes and dimensions. The solution to the problems considered is the use of the geometry of non-ideal objects in a six-dimensional space with three linear and three angular coordinates. To determine the angular positions of objects, the concept of an angular vector is introduced. A geometric object is represented as a fuzzy closed subspace with a non-zero volume, bounded by a finite set of intersecting or mating surfaces. The surface is considered as a boundary between two different media. The process of generating the geometric configuration of an object (G) consists in the formation of the boundaries of a closed subspace by the relative arrangement of the surfaces included in its composition (S) in accordance with the structure (D). The structure is defined by a set of coordinate dimensional relationships that determine the mutual arrangement of surfaces. The basis for the generation of surfaces is the kinematic method based on the interaction of two generating lines. An unambiguous relationship has been established between the structure of the geometric part configuration and a set of technological schemes for ensuring the mutual arrangement surfaces, i.e. basing schemes and the sequence of their change. The basis for the generation of surfaces is the kinematic method based on the interaction of two generating lines. An unambiguous relationship has been established between the structure of the geometric configuration of a part and a set of technological schemes for ensuring the mutual arrangement of surfaces, i.e. basing schemes and the sequence of their change. The presented materials allow us to assert the existence of strict correspondences between the design of a part and its machining technology, provided that its geometric configuration is correctly and consistently represented in six-dimensional space.