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Gears and graphs

Treść / Zawartość
Identyfikatory
Warianty tytułu
PL
Grafy i przekładnie
Języki publikacji
EN
Abstrakty
EN
The paper presents, among others, a survey of works connected with the problem of the modeling of gears by means of versatile graph theory models. This approach to the problems of gear modeling allows computer based analysis and synthesis. Some recent papers claim that graph representations and derived methods belong to the branch of artificial intelligence due to the possibility of obtaining automatically versatile results, e.g. different constructional design solutions of mechanisms. Some examples are enclosed to explain which class of tasks is solved by means of the graph theory approach, i.e. modeling by means of bond graphs and linear graphs. The following problems have been considered: derivation of systems of equations describing the behaviour of gear subsystems and detection of a redundant wheel. The survey is based on over 60 papers published mainly within last 10 years, some of them in world wide high level scientific magazines.
PL
W pracy przedstawiono, między innymi, przegląd prac związanych z zadaniem modelowania przekładni zębatych za pomocą uniwersalnych modeli wykorzystujących teorię grafów. To podejście do zadań modelowania przekładni zębatych umożliwia przeprowadzenie zadania analizy i syntezy za pomocą komputerów. W niektórych naj nowszych pracach pojawia się stwierdzenie, że reprezentacja za pomocą grafów i metod pochodnych są działem sztucznej inteligencji, gdyż umożliwiają automatyczne uzyskiwanie pożądanych wyników, np. różnych rozwiązań konstru'kcyjnych mechanizmów. Załączono kilka przykładów dla wyjaśnienia, jakie klasy zadań można rozwiązywać za pomocą metod wywodzących się z teorii grafów; tj. modelowanie za pomocą grafów przepływu mocy i grafów liniowych. Omówiono następujące zagadnienia: automatyczne tworzenie układów równań opisujących dynamikę podzespołów przekładni i wykrywanie kół nadmiarowych. Przegląd został oparty o prawie 60 prac, opublikowanych głównie w okresie ostatnich 10. lat; część z nich pochodzi z uznanych czasopism specjalistycznych o ogólnoświatowym zasięgu.
Rocznik
Strony
139--162
Opis fizyczny
Bibliogr. 58 poz., rys., tab.
Twórcy
autor
autor
Bibliografia
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  • 16. Freudenstein F., Yang A.T., 1972, Kinematics and statics of a coupled spur-gear train, Mechanism and Machine Theory, 7, 263-275
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  • 18. Hsu C.H., 1994, Displacement isomorphism of planetary gear trains, Mechanism and Machine Theory, 29, 4, 513- 523
  • 19. Hsu C.H., Chang C.-C., Hsu J.-J., 1999, Structural synthesis of bevel-gear robotic wrist mechanisms, Proc. Natl. Sci. Counc. ROC(A), 23, 4, 518-525
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  • 21. Hsu C.-H., Lin Y.-L., 1994, Automatic analysis of the redundant gears in planetary gear trains, Int. J. of Vehicle Design, 15, 3/4/5, 402-415
  • 22. Karnopp D.C., Margolis D.L., Rosenberg R.C., 2000, System Dynamics, Modelling and Simulation of Mechatronic Systems, Jonh Wiley and Sons, New York
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  • 24. Kim J.U., Kwak B.M., 1990, Application of edge permutation group to structural synthesis of epicyclic gear trains, Mech. Mach. Theory, 25, 563-574
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  • 27. Liu CH. P., Chen D.Z., 2000, On the embedded kinematic fractionation of epicyclic gear trains, Journal of Mechanical Design, Transaction of the ASME, 122, 479-483
  • 28. Liu CH. P., Chen D.Z., 2001, On the application of kinetic units to the topological analysis of geared mechanisms, Transaction of the ASME, Journal of Mechanical Design, 123, 240-246
  • 29. Michelena N.F., Papalambros P.Y., 1995, Optimal model-based decomposition of powertrain system design, Trans. of ASME, Journal of Mechanical Design, 117, 499-505
  • 30. Michelena N.F., Papalambros P.Y., 1997, A hypergraph framework for optimal model-based decomposition of design problems, Computational Optimization and Applications, 8, 173-196
  • 31. Murota K., 1987, System analysis by graphs and matroids, Springer-Verlag, Berlin
  • 32. Olson D.G., Erdman A.G., Riley D.R., 1987, A new graph theory approach for topological synthesis of planetary gear train, Proceedings of the Seventh World Congress on the TMM, 3, Sevilla, Spain, 1421-1436
  • 33. Olson D.G., Erdman A.G., Riley D.R.,1991, Topological analysis of singledegree-of-freedom planetary gear trains, Transaction of the ASME, Journal of Mechanical Design, 113, 10-16
  • 34. Orlikowski C., 2003, Dyskretne modele niskiego rzędu ciągłych układów przenoszenia napędu, IX Seminarium, Napędy i Sterowanie, Gdańsk, 113-122
  • 35. Ort J.R., Martens H.R., 1974, A topological procedure for converting a bond graph to a linear graph, Transaction of the ASME, Journal of Dynamic Systems, Measurements and Controll, 307-314
  • 36. Prahasto T., 1992, Planetary gear analysis using the vector network method, MSc Thesis, University of Waterloo, Waterloo, Canada
  • 37. Prahasto T., Andrews G.C., 1999, Analysis of planetary gear trains using the vector network method, II-nd International Conference "Graphs and Mechanics", Gliwice
  • 38. Prasad Raju Pathapati V.V.N.R., Rao A.C., 2002, A new technique based on loops to investigate displacement isomorphism in planetary gear trains, Transactions of the ASME, Journal of Mechanical Design, 124, 662-675
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  • 42. Shai O., Preiss K., 1999a, Graph theory representation of engineering system and their embedded knowledge, Artificial Intelligence in Engineering, 13, 273-285
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  • 44. Shin J.K., Krishnamurty S., 1993, Standard code technique in the enumeration of epicyclic gear trains, Mechanism and Machine Theory, 28, 3, 347-355
  • 45. Summers J.D., Vargas-Hernandez N., Zhao Z., Shah J.J, Lacroix Z., 2001, Comparative study representation structures for modelling function and behavior of mechanical devices, Proceedings of DETC'01: ASME 2001 Design Engineering Technical Conference and Computers and Information in Engineering Conference, Pittsburgh, Pennsylvania CIE-21243, 1-14
  • 46. Thoma J.U., 1990, Simulation by Bondgraphs, Introduction to a Graphical Method, Springer-Verlag, Berlin
  • 47. Tsai L.W., 1988, The kinematics of spatial robotic bevel gear trains, IEEE Journal of Robotics and Automation, 87, 2726-2736
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  • 49. Tsai L.W., 2000, Mechanisms design. Enumeration of kinematic structures according to function, CRC Press, Boca Raton, Florida, 311p.
  • 50. Yano T., Yada T., 1981, An application of the linear graph theory to the analysis of the planetary gear mechanism, Proc. Of the Inter. Sympos. On Gearing and Power Transmission, 2, 267-272
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  • 52. Wojnarowski J., 1977a, Graphs and structural numbers as the models of mechanical systems (in Polish), PTMTS, Gliwice
  • 53. Wojnarowski J., 1977b, Method "graph" for determining of loads in complex gear trains, ZN Politechniki Śląskiej, Gliwice (in Polish)
  • 54. Wojnarowski J., 1981, Application of graphs for analysis of vibrations of mechanical systems (in Polish), PWN, Warszawa
  • 55. Wojnarowski J., Buchacz A., Nowak A., Świder J., 1986, Modeling of vibrations of mechanical systems by means of graphs and structural numbers (in Polish), Wydaw. Polit. Śląskiej, Gliwice
  • 56. Wojnarowski J., Kopeć J., 2003, Application of bondgraphs for an analysis of torsional vibrations in cylindrical gearbox (in Polish), Zeszyty Naukowe ATH w Bielsku-Białej, 5, Budowa i Eksploatacja Maszyn, 3, 279-286
  • 57. Wojnarowski J., Lidwin A., 1975, The application of signal ow graphs to the kinematic analysis of planetary gear trains, Mechanism and Machine Theory, 10, (1-B), 17-31
  • 58. Wojnarowski J., Sikora K., Zawiślak S., 2003, Detection of existence of redundant gear wheels in planetary gears based upon graph theory model (in Polish), Zeszyty Naukowe ATH w Bielsku-Białej, 5, Budowa i Eksploatacja Maszyn, 3, 287-292
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWM3-0005-0009
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