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

• Autorzy: Buchacz, A.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

applied mechanics; exact and approximate methods; continuous system; vibrating beams

• Czasopismo: Journal of Achievements in Materials and Manufacturing Engineering
• Rocznik: 2011
• Tom: Vol. 49, nr 2
• Strony: 233--242
• Opis fizyczny: Bibliogr. 21 poz., rys.

Twórcy

autor

Buchacz, A.

• Institute of Engineering Processes Automation and Integrated Manufacturing Systems, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Poland,

Bibliografia

• [1] S. Bellert, H. Woźniacki, The analysis and synthesis of electrical systems by means of the method of structural numbers, WnT, Warsaw, 1968 (in Polish).
• [2] C. Berge, Graphs and hypergraphs, North Holland Publishing Company, Amsterdam-London 1973.
• [3] K. Białas, A. Buchacz, T. Dzitkowski, Synthesis of active mechanical systems with dumping in view of polar graphs and structural numbers, Monograph No 230, Silesian University of Technology Press, Gliwice, 2009 (in Polish).
• [4] A. Buchacz, Modelling, synthesis and analysis of bar systems characterized by a cascade structure represented by graphs, Mechanism and Machine Theory 30/7 (1995) 969-986.
• [5] A. Buchacz, The synthesis of vibrating bar-systems represented by graph and structural numbers, Scientific Letters of Silesian University of Technology, MECHANICS 104, Silesian University of Technology Press, 1991 (in Polish).
• [6] A. Buchacz, A. Dymarek, T. Dzitkowski, Design and examining of sensitivity of continuous and discrete-continuous mechanical systems with required frequency spectrum represented by graphs and structural numbers, Monograph No. 88, Silesian University of Technology Press, Gliwice, 2005 (in Polish).
• [7] A. Buchacz, The expansion of the synthesized structures of mechanical discrete systems represented by polar graphs, Journal of Materials Processing Technology 164-165 (2005) 1277-1280.
• [8] A. Buchacz, K. Żurek, Reverse task of dynamice of active mechanical systems by means the graphs and structural numbers methods, Monograph No 81, Silesian University of Technology Press, Gliwice, 2005 (in Polish).
• [9] A. Buchacz, Modelling, synthesis, modification, sensitivity and analysis of mechanic and mechatronic systems, Journal of achievements in materials and manufacturing engineering, International OCOSCO World Press 24/1 (2007) 198-207.
• [10] A. Buchacz, Dynamical flexibility of discrete-continuous vibrating mechatronic system, Journal of Achievements in Materials and Manufacturing Engineering, International OCOSCO World Press 28/2 (2008) 159-166.
• [11] A. Buchacz, Characteristics of discrete-continuous flexibly vibrating mechatronic system, Journal of Achievements in Materials and Manufacturing Engineering, International OCOSCO World Press 28/1 (2008) 43-46.
• [12] A. Buchacz, Calculation of flexibility of vibrating beam as the subsystem of mechatronic system by means the exact and approximate methods, Proceedings in Applied Mathematics and Mechanics 9/1 (2009) 373-374.
• [13] A. Buchacz, Transformations of hypergraphs of beams as models in synthesis of flexibly vibrating continuous mechanical systems, Vestnik Krymskoy Akademii Nauk -Sevastopolskie Otdelenie 1 (2010) 35-38.
• [14] A. Buchacz, Orthogonalization method of analysis of mechanical and mechatronic systems, les problèmes du technoshère et de la formation des cadres d'ingénieurs contemporains, Recueil des exposés des participants du III Séminaire international scientifique et méthodique, Sousse-Donetsk, 2009, 85-88.
• [15] A. Buchacz, Comparision of characteristics of subsystems and systems as introduction to synthesis of torsionally vibrating mechatronic systems, les problèmes du technoshère et de la formation des cadres d'ingénieurs contemporains, Recueil des exposés des participants du IV Séminaire international scientifique et méthodique, Hammamet-Donetsk, 2010, 85-88.
• [16] A. Buchacz, The supply of formal notions to synthesis of the vibrating discrete-continuous mechatronic systems, Journal of Achievements in Materials and Manufacturing Engineering, International OCOSCO World Press 44/2 (2011) 168-178.
• [17] A. Buchacz, The set of formal tools to synthesis of torsionally vibrating mechatronic systems, les problèmes du technoshère et de la formation des cadres d'ingénieurs contemporains, Recueil des exposés des participants du V Séminaire international scientifique et méthodique, Tabarka-Donetsk, 2011, p. 39-42.
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• [21] J. Wojnarowski, A. Buchacz, Use of hypergraphs and complete structural numbers in the analysis of vibrating beam systems with non-linearly changing cross-sections. Vibration Engineering 3/4 (1989) 593-598.