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1 Journal of Achievements in Materials and Manufacturing Engineering

1 2011

1 Buchacz A.

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Hypergraphs of simple beams-models of their analysis in synthesis of complex beam-systems

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Buchacz A.

Journal of Achievements in Materials and Manufacturing Engineering

2011

tom Vol. 49, nr 2

233--242

Purpose: of this paper is the analysis of vibrating beam by the exact and approximate methods and creating the hypergraphs of the beam concerning of two methods of analysis. Design/methodology/approach: was 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 to solve the continuous free-pinned (F-P) and clamped-sliding (C-S) beams 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 limitations/implications: is that linear continuous transverse vibrating (F-P) and (C-S) beams are considered. Practical implications: of this study is the main point is the introduction to synthesis of transverse vibrating continuous beam-systems. Originality/value: of this approach considers the application Galerkin’s method which concerns the analysis of beams and modeling them of transformed hypergraphs.