Application of graphs in the analysis of vibrating 3-dimensional systems

• Autorzy: Wojnarowski J.

Identyfikatory

DOI

10.1515/ijame-2016-0045

• Języki publikacji: EN

Abstrakty

EN

Vibrating 3-dimensional mechanical systems are described by hybrid graphs. By dividing the hybrid graph into a tree and associated co-tree it is possible to describe in terms of matrices: across-flow-variables, stiffness and flexibility. The application of the formalism of graphs makes it possible to analyze mechanical systems in terms of dynamic characteristic and trajectory motion of determinate points.

Słowa kluczowe

EN

abstract graph; dynamic flexibility; transfer functions

PL

elektromechanika; układ mechaniczny; inżynieria lądowa

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2016
• Tom: Vol. 21, no. 3
• Strony: 761--766
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Wojnarowski J.

• State Higher Vocational School in Nowy Sącz 33-300 Nowy Sącz, ul. Staszica 1, POLAND

Bibliografia

• [1] Koenig H.E. and Blacwell W.A. (1961): Electromechanical System Theory. – New York: Mc Graw-Hill Book.
• [2] Trent H.M. (1955): Isomorphism between oriented linear graphs and lumped physical systems. – J. Acoust. Coc. Am., pp.500-527.
• [3] Paynter H.M. (1960): Analysis and Design of Engineering Systems. – M.I.T. Press. Cambridge, Mass.
• [4] Berge C. (1961): Graphes et Hypergraphes Monographies Univers. de Mathem. – New York: Book Company.
• [5] Wittenburg J. (1977): Dynamics of Systems of Rigid Bodies. – Stuttgart: Teubner B.G.
• [6] Wojnarowski J. (1981): The Application of Graph in the Analysis of Mechanical Systems. – Warsaw-Wroclaw: PWN.
• [7] Wojnarowski J. and Świder J. (1980): Three dimensional terminal graphs and flow graphs signals in modelling mechanical systems. – Archives of Civil Engineering, No.2, pp.389-406.
• [8] Chou Jack C.K., Kesavan H.K. and Singhal K. (1986): A systems approach to three-dimensional multibody systems using graph-theoretic models. – IEE. Trans. on Systems Man. and Cybernetics, vol.SMC.16, No.2. pp.219-230.
• [9] Zawiślak S. (2010): The graph-based methodology as an artificial intelligence aid for mechanical engineering design. – Bielsko-Biała: Wyd. ATH.
• [10] Xue H.L., Liu G. and Yang X.H. (2015): A review of graph theory application research in gears. – Proc. I. Mech. E Part C, J. Mechanical Engineering Science, pp.1-18.

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę