Modifications of hypergraphs of subsystems of mechatronic system as an effect of their analysis by means of different methods


  • Andrzej Buchacz

    Corresponding author
    1. Silesian University of Technology, Faculty of Mechanical Engineering, Institute of Engineering Processes Automation and Integrated Manufacturing Systems, Konarskiego 18a, 44-100 Gliwice, Poland
    • phone +48 (032) 237 18 77, fax +48 (032) 237 16 24
    Search for more papers by this author


Purpose of this paper is creating of the hypergraphs of the beam concerning of two methods of analysis of vibrating beam by the exact and approximate methods. This approach make possible to nominate the relevance or irrelevance between the characteristics obtained by considered methods – especially concerning the relevance of the natural frequencies-poles of beams characteristics. The main subject of the research is the continuous free-sliding (F-S) beam as a subsystems of vibrating beam-system. Findings this approach is a fact, that approximate solutions fulfill all conditions for vibrating beams and can be introduction to synthesis of these systems modeled by hypergraphs. Research limitation is that linear continuous transverse vibrating (F-S) beam is considered. Practical implications of this study is the main point is the introduction to synthesis of transverse vibrating continuous beam-systems. Originality of this approach considers the application Galerkin's method which concerns the analysis of beams and modeling them of transformed hypergraphs. (© 2012 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)