Abstract
The article reviews the means of geometric modeling used in the creation of complex instrument-making products. The performed analysis is aimed at improving the existing approaches to computer-aided design in order to improve the quality of the specified technical objects.
 The basic provisions of the methodology of structural-parametric shaping developed by the scientific school of applied geometry of the National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute» are highlighted. The possibility of extending the developed methods to the field of instrumentation engineering is shown. However, it is noted that this requires additional research to take into account the specifics of this industry. In particular, the complexity of many devices due to the combination in their design of physically disparate parts, such as mechanical, electronic, optical, a large number of corresponding elements, etc.
 It is emphasized that in instrumentation engineering during designing, descending, ascending and mixed development of devices is used. The applied system-hierarchical approach is described. The possibility of its successful implementation by means of structural-parametric methodology is shown. Its theoretical foundations have been improved by the proposed principle of generalized geometric models. The relevance of the latter for the creation of complex technical objects is substantiated. Such stages of design as functional, constructional and technological, typical for instrumentation engineering, are presented. Their features are indicated. The conceptual foundations of mathematical modeling of arbitrary devices are outlined, the design procedures for synthesis, analysis, and optimization are considered. Appropriate examples for the development of devices for inertial navigation systems are given. The prospects for further scientific research on solving the above issues have been determined.
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