Graphs different category of subsystem as models to synthesis of transverse vibrating beam - system

• Autorzy: Buchacz A.
• Języki publikacji: EN

Abstrakty

EN

Purpose: of this paper is modeling by different categorygraphs and analysis of vibrating clamped - free beam as subsystem of transverse vibrating beam-system by the exact and approximate methods and creating the hypergraphs of the beams in case of presented 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 characteristics of considered beam. The main subject of the research is the continuous clamped - free beam with constant cross sections as a subsystem of transverse vibrating beam - system. Findings: this approach is fact, that approximate solutions fulfill all conditions for vibrating beams and can be introduction to synthesis of these systems modeled by different category graphs. Research limitations/implications: is that linear continuous transverse vibrating clamped-free beam is considered. Practical implications: of this study is the main point is the introduction to synthesis of transverse vibrating continuous beam-systems with constant changeable cross-section. Originality/value: of this approach relies on application approximate methods of analysis of clamped - free beam and modeling the one of transformed hypergraph.

Słowa kluczowe

EN

applied mechanics; exact methods; Galerkin method; graphs; vibrating clamped; free beam

PL

mechanika stosowana; metody dokładne; metoda Galerkina; grafy; belka swobodna

• Wydawca: International OCSCO World Press
• Czasopismo: Journal of Achievements in Materials and Manufacturing Engineering
• Rocznik: 2010
• Tom: Vol. 43, nr 2
• Strony: 644--650
• Opis fizyczny: Bibliogr. 15 poz., rys., wykr.

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, American Elsevier Publishing Co., Inc., New York/ North Holland Publishing Co., Amsterdam-London, 1973.
• [3] K. Białas, A. Buchacz, T. Dzitkowski, Synthesis of active mechanical systems with dumping inview 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, vol. 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 24/1 (2007) 198-207.
• [10] A. Buchacz, Dynamical flexibility of discrete-continuous vibrating mechatronic system, Journal of Achievements in Materials and Manufacturing Engineering 28/2 (2008) 159-166.
• [11] A. Buchacz, Characteristics of discrete-continuous flexibly vibrating mechatronic system, Journal of Achievements in Materials and Manufacturing Engineering 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. Release 1. Sevastopol 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 contemporain S, Recueil des exposés des participants du IV Séminaire international scientifique et méthodique, 2 à Hammamet, Donetsk, 2010, 85-88.