Development the assembly sequence mathematical modeling method of precision axisymmetric products based on the graph incidence matrix

Abstract

Abstract The paper presents a method for problem solving of automated construction the assembly sequence of high-precision axially symmetric products. The purpose of this article is testing the admissibility of using a directed assembly graph, including adjacency and incidence matrices, for structuring and planning theoretical schematization of the assembly technological process. The considered method coincides with a possible mathematical implementation of the problem. The specificity of the structure modeling and the assembly process using mathematical methods has been evaluated. The graph creating technique representing the relationship between parts and the assembly process is considered. The solving the problem of assembly process automated construction is performed using algorithms and computational software based on the graphs constructing of in the matrices form. A comparison of the results achieved theoretically and computer aided in terms of designing the assembly process has been made. The achieved results make it possible in real time to adjust the productassembly sequencing, on the basis of this, it becomes possible to track parameters and control decision-making when planning assembly processes.