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On a theory for the type synthesis of mechanisms

  • Conference paper
Applied Mechanics

Abstract

Type synthesis or the determination of the structure of the mechanism from its kinematic performance, may be viewed in terms of the following steps:

  1. 1.

    Assume as given the degree of freedom (F) of the mechanism, the number (l) of its elements or links, and the kinematic specification of its motion.

  2. 2.

    Enumerate the “groups” of “basic kinematic chains” with this degree of freedom and number of links (the terms in italics will be defined later on).

  3. 3.

    Enumerate the basic kinematic chains within each group.

  4. 4.

    Enumerate the mechanisms derivable from each kinematic chain.

  5. 5.

    By further transformation of the mechanical nature of the links and joints, enumerate the mechanisms satisfying the given kinematic specification.

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References

  1. Artobolevskii, I. L: Doklad. Akad. Nauk, Izv. Otd. Tekh. Nauk, 1939, No. 4, pp. 27-34; No. 10, pp. 27-40.

    Google Scholar 

  2. L. V. Assur, Collected Works, Acad. Sci., USSR, 1952.

    Google Scholar 

  3. Babbage, C.: Phil. Trans. Roy. Soc. 2 (1826) 250.

    Article  Google Scholar 

  4. Chebyshev, P. L.: On Parallelograms, 1869 (See Collected Works).

    Google Scholar 

  5. de Jonge, A. E. R.: Mech. Engng. 62 (1940) 537–542.

    Google Scholar 

  6. Dobrovolskii, V. V.: Theory of Mechanisms, Moscow 1951.

    Google Scholar 

  7. Foster, R.M.: Trans. AIEE 51 (1932) pp. 309–317.

    Google Scholar 

  8. Franke, R.: Vom Aufbau der Getriebe, Vols. I, Berlin; II, Düsseldorf, 1948, 1951.

    Google Scholar 

  9. Gruebler, M.: Civilingenieur 29 (1883) 167–200.

    Google Scholar 

  10. Gruebler, M.: Ver. z. Bef. d. Gew. 64 (1885) 179–223.

    Google Scholar 

  11. Gruebler, M.: Getriebelehre, Berlin 1917.

    Google Scholar 

  12. Hain, K.: VDI-Berichte 5 (1955) 2–14.

    Google Scholar 

  13. Paul, B.: J. Appl. Mech. 27 E (1960) 196–200.

    Article  MathSciNet  MATH  Google Scholar 

  14. Reuleaux, F.: Kinematics of Machinery, London 1876.

    Google Scholar 

  15. Seshu, S., and M. B. Reed: Linear Graphs and Electrical Networks, Addison-Wesley Publ. Co. Inc., Reading, Mass. 1961.

    MATH  Google Scholar 

  16. Somov, P. O.: J. (Russian) Phys. Chem. Soc. 19 (1887) No. 9, pp. 443–476.

    Google Scholar 

  17. Sylvester, J. J.: Collected Math. Papers 3 (1874) 7–25.

    Google Scholar 

  18. Willis, R.: Principles of Mechanism, Cambridge 1841.

    Google Scholar 

  19. Riordan, J.: An Introduction to Combinatorial Analysis, New York: J. Wiley & Sons 1958.

    MATH  Google Scholar 

  20. Crossley, F. R. E.: A Contribution to Gruebler’s Theory in the Number Synthesis of Plane Mechanisms. ASME Trans. 86 B, J. Eng. Ind., February 1964, pp. 1-8.

    Google Scholar 

  21. Ore, O.: Graph. Theory, Vol. I, Colloquium Publications of the Am. Math. Soc., No. 38, Providence 1962.

    Google Scholar 

  22. Dobrjanskyj, L.: Doctoral dissertation.

    Google Scholar 

  23. Whitney, H.: Two-Isomorphic Graphs. Am. J. Math. 55 (1933) 245–254.

    Article  MathSciNet  Google Scholar 

  24. Polya, G.: Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Verbindungen. Acta Math. 68 (1937) 145–253.

    Article  MathSciNet  Google Scholar 

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© 1966 Springer-Verlag Berlin Heidelberg

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Freudenstein, F., Dobrjanskyj, L. (1966). On a theory for the type synthesis of mechanisms. In: Görtler, H. (eds) Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-29364-5_57

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  • DOI: https://doi.org/10.1007/978-3-662-29364-5_57

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-27863-5

  • Online ISBN: 978-3-662-29364-5

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