Methods of Mathematical Modeling of Automated Machine Systems of Multi-Nomenclature Production

¹ Ufa State Petroleum Technical University, RU-450064, Ufa, Republic of Bashkortostan, Russia
² Almetyevsk State Oil Institute, RU-423450, Tatarstan, Almetyevsk, Russia

Published online: 26 April 2021

Abstract

Automated machine tool systems for multi-product manufacturing were designed for processing parts of a certain nomenclature, which includes separate groups of parts, united by the design, technological, organizational and economic properties. To reduce the number of options in the structure of an automated machine tool system, a target nonlinear design function was applied. Technological conditions were formulated in such a way as to allow synthesizing alternative structures of the designed automated system. At this stage, a matrix of relations was built and a formalized description of technological conditions was given. Specific and generalized technological conditions, which take into account the graph of relations and compatibility condition formulated for any pair of elements, were considered. The article discusses the generalized technological conditions obtained on the basis of the synthesis of compatibility and follow-up properties. The existence of generalized technological conditions for the elements of the automated system of the same name was assessed. The interaction of the elements of an automated system during processing, when the condition of the following and compatibility of technological parameters are met, was studied. By analyzing the functional and technological structure of an automated machine tool system for multi-product manufacturing, the key relationships between its main elements were determined, and the technological environment, a key subject of the system research, was identified.