Classic and nonclassic methods in synthesis of the transverse vibrating mechatronic systems

In the paper, the modeling and analysis of mechanical subsystem of vibrating continuousdiscrete mechatronic system have been presented. This approach was established to nominate the relevance or irrelevance between the characteristics obtained by considered methods – especially concerning the relevance of the natural frequencies-poles of characteristics of beam as the subsystem of mechatronic one. At the beginning of the approach, the modeling and frequency – modal analysis of simply beam as the subsystem of vibrating mechatronic system with constant cross sections are presented. It is the research limitation, that linear continuous transverse vibrating beam is considered (Eg. [1, 2]. Findings of this approach is a fact, that approximate solutions fulfill all conditions for only subsystem, that means vibrating beams, modeled by graphs and hypergraphs and analyzed by different category structural numbers as well [3–5, 6]. Practical implication of this study is that the main point is the introduction to synthesis of transverse vibrating continuousdiscrete mechatronic systems.