Examines the influence of dimensional connections on geometric configuration, suggesting effective design solutions.
According to practical experience, ESCD regulations allow ambiguous interpretation when designing parts and manufacturing technologies. This results in different interpretations of engineering tasks and leads to different solutions. The hidden variety of results in dimensional analysis, which generates variability in the identification and selection of dimensional circuits, allows designers and engineers to use different dimension chains within the same part, which leads to configuration changes and reduced manufacturing efficiency. The study objective is to identify the influence of the structure of dimensional connections on the configuration, the correctness of using dimensional analysis methods for manufacturing parts, and to propose methods for the formal design of an effective technological process based on the geometry of non-ideal objects. The main problem in the development of the theory of complex dimensional analysis is the use of three-dimensional linear space, which does not allow unambiguously describing the geometric configuration of real objects. Therefore, methods and tools of the geometry of non-ideal objects are used in the paper, which makes it possible to comprehensively consider the existence and interaction of dimensional connections in a six-dimensional space with linear and angular metrics. The novelty of the work is the construction of an integrated model of the structure of the part geometric configuration, i.e. a complete set of dimensional connections in each geometric direction, including all possible dimension chains. Influence regularities of the structure of dimensional connections on the patterns of object generation found as a study result determine the formal basis for forming effective design and technological solutions. The proposed approach to a comprehensive analysis of part dimensional connections using graphs allows solving the problems of existence and reproducibility of the geometric configuration of the part, as well as creating alternative configurations. Conclusions. The developed principles of working with the structure of dimensional connections of a part make it possible to avoid multiple solutions to problems of dimensional analysis, uncertainty in decision-making and make it possible to develop formal algorithms for evaluating the configuration and designing the technological process of machining parts.
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Kolesnikova et al. (2026) studied this question.
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