Synthesis and sensitivity of machine driving systems

Purpose: The paper presents algorithms of synthesis and sensitivity analysis of dynamics characteristics applicable for aiding the process of designing of machine driving systems. The objective of the paper was to develop algorithms for selecting of design features of physical systems so that dynamic characteristics described in the frequency domain might be shaped in the best possible manner. Design/methodology/approach: In this work used method of polar graphs and their relationship with algebra of structural numbers. This research method of mechanical systems allows quickly and exactly calculates the impact of individual factors on his dynamic properties. Findings: Presented approach simplifies the process of selecting the dynamical parameters of machine drive systems in view of their dynamical characteristics. Research limitations/implications: The scope of discussion is the synthesis and sensitivity of machine drive systems as models of torsional vibrations, but for the kind of systems the approach is sufficient. Practical implications: The developed algorithm of shaping of the dynamics characteristics make it possible to formulate the problem of optimization when making use of the objective functions constraints described in the frequency domain. Originality/value: A process of researching the structure of a system, meeting certain conditions, is inverse to the process of analyzing it. In other words, it’s a synthesis. We should emphasize that the considered problem varies from other issues met in classic mechanics or control theory. The research has been undertaken on the basis of topological methods, developed in scholar environment of Gliwice, and on the basis of algebraically methods closely related to these topological ones – that is, methods of graphs and structural numbers.