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Analysis of probability as an impulse to synthesis of a beam-system represented by hypergraphs

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Purpose: of this paper is to analyze vibrating beam by an exact and approximate methods and to create hypergraphs of the beam in case of two methods of analysis. Design/methodology/approach: was to nominate the relevance or irrelevance between the characteristics obtained by the considered methods - especially concerning the relevance of the natural frequency-poles of beam characteristics. The main subject of the research is a continuous free beam as a subsystem of vibrating beam-system with constant cross sections. Findings: this approach is that approximate solutions fulfil all conditions for vibrating beams and can be an introduction to synthesis of these systems modelled by hypergraphs. Research limitations/implications: linear continuous flexibly vibrating free beam is considered Practical implications: of this study is mainly the introduction to synthesis of flexibly vibrating continuous beam-systems. Originality/value: of this approach is about application of approximate methods of analysis of a beam and modelling the one of transformed hypergraph.
Rocznik
Strony
72--79
Opis fizyczny
Bibliogr. 19 poz., rys., tabl.
Twórcy
autor
  • Institute of Engineering Processes Automation and Integrated Manufacturing Systems, Institute of Engineering Materials and Biomaterials, Silesian University of Technology, ul. Konarskiego 18a, 44-100 Gliwice, Poland, andrzej.buchacz@polsl.pl
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 in view of polar graphs and structural numbers, Monograph No. 230. Silesian University of Technology Press, Gliwice, 2009 (in Polish).
  • [4] 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).
  • [5] 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.
  • [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, Modelling, synthesis, modification, sensitivity and analysis of mechanic and mechatronic systems, Journal of Achievements in Materials and Manufacturing Engineering 24/1 (2007) 198-207.
  • [9] A. Buchacz, Dynamical flexibility of discrete-continuous vibrating mechatronic system, Journal of Achievements in Materials and Manufacturing Engineering 28/2 (2008) 159-166.
  • [10] A. Buchacz, Characteristics of discrete-continuous flexibly vibrating mechatronic system, Journal of Achievements in Materials and Manufacturing Engineering 28/1 (2008) 43-46.
  • [11] A. Buchacz, K. Żurek, Reverse task of dynamics of active mechanical systems by means the graphs and structural numbers methods. Monograph No 81. Silesian University of Technology Press, Gliwice, 2005 (in Polish).
  • [12] T. Dzitkowski, Computer aided synthesis of discrete-continuous subsystems of machines with the assumed frequency spectrum represented by graphs, Journal of Materials Processing Technology 157-158 (2004) 144-149.
  • [13] W. Kurnik, Damping of mechanical vibrations utilizing shunted piezoelements, Machine Dynamics Problems 28/4 (2004) 15-26.
  • [14] A. Sękala, J. Świder, Hybrid graphs in modelling and analysis of discrete–continuous mechanical systems, Journal of Materials Processing Technology 164-165 (2005) 1436-1443.
  • [15] J. Świder, P. Michalski, G. Wszołek, Physical and geometrical data acquiring system for vibration analysis software. Journal of Materials Processing Technology 164- 165 (2005) 1444-1451.
  • [16] J. Świder, G. Wszołek, Analysis of complex mechanical systems based on the block diagrams and the matrix hybrid graphs method, Journal of Materials Processing Technology 157-158 (2004) 250-255.
  • [17] 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.
  • [18] G. Wszołek, Vibration analysis of the excavator model in graphsim program on the basis of a block diagram method, Journal of Materials Processing Technology 157-158 (2004) 268-273.
  • [19] G. Wszołek, Modelling of mechanical systems vibrations by utilization of GRAFSIM software, Journal of Materials Processing Technology 164-165 (2005) 1466-1471.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BOS2-0022-0017
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