@ARTICLE{Buchacz_Andrzej_Analysis_2010, author={Buchacz, Andrzej}, volume={vol. 57}, number={No 4}, journal={Archive of Mechanical Engineering}, pages={431-442}, howpublished={online}, year={2010}, publisher={Polish Academy of Sciences, Committee on Machine Building}, abstract={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.}, type={Artykuły / Articles}, title={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}, URL={http://www.czasopisma.pan.pl/Content/107415/PDF/160.pdf}, doi={10.2478/v10180-010-0025-8}, keywords={analysis, exact and Galerkin's methods, modeling, graphs, continuous system}, }