Analysis of Beam Hypergraphs by Means of Exact And Approximate Methods As Models Of Transverse Vibrating Subsystems in the Synthesis of Mechanical and Mechatronic Systems

In this paper, the author compares the of characteristics of subsystems obtained by the approximate and exact method in order to answer to the question-if the approximate method can be used to nominate the characteristics of mechatronic systems. Frequency-modal analysis has been presented for a mechanical system, i.e. transverse-vibrating clamped-free beam. Consequently, the model of the beam was presented in a five-vertex hypergraph. This model, in the case of approximate frequency-modal analysis, can be imitated in a three-vertex hypergraph. Such formulation could be the introduction to synthesis of transverse-vibrating complex beam systems with constant cross-section.