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Kinematic Analysis of Screw Surface Contact

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New Trends in Mechanism Science

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 5))

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Abstract

An analysis of the three member mechanism with higher kinematic pair, that is created by conjugate screw surfaces, is solved using the theory of screws. In a theoretical position the surface axes are in parallel position and the surfaces have a contact at the curve. Under acting force and temperature fields the correct parallel position of the surface axes changes into a skew position. The curve contact changes into contact at the point and the originally relative rolling motion changes into a spatial motion. Instantaneous state of the surfaces is expressed with the force screw, wrench and with kinematic screw, twist of their relative motion.

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References

  1. Ball, R.S., A Treatise on the Theory of Screws. Cambridge University Press, Cambridge, 1998 (first published 1900).

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  3. Švïgler, J., Machulda, V. and Siegl, J., Deformation of Screw Machine Housing under Force Field and its Consequences. VDI Berichte Nr. 1932, Schraubenmaschinen 2006, Dortmund, pp. 377–388, 2006.

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  4. Švïgler, J. and Siegl, J., Contribution to modelling of screw surfaces contact. In Proceedings of Xth International Conference on the Theory of Machines and Mechanisms, Liberec, Czech Republic, pp. 617–622, 2008.

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Author information

Authors and Affiliations

  1. University of West Bohemia in Pilsen, 30614, Pilsen, Czech Republic

    J. Švígler

Authors
  1. J. Švígler
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Corresponding author

Correspondence to J. Švígler .

Editor information

Editors and Affiliations

  1. Technical University of Cluj-Napoca, Memorandumului 28, Cluj-Napoca, 400114, Romania

    Doina Pisla

  2. Dipto. Meccanica, Strutture,, Ambiente e Territorio (DiMSAT), Università Cassino, Via G. di Biasio 43, Cassino, 03043, Italy

    Marco Ceccarelli

  3. Inst. Technische Mathematik,, Geometrie und Bauinformatik, Universität Innsbruck, Technikerstr. 13, Innsbruck, 6020, Austria

    Manfred Husty

  4. FB 4 Inst. f. Getriebetechnik u., Maschinendynamik, RWTH Aachen, Eilfschornsteinstr. 18, Aachen, 52062, Germany

    Burkhard Corves

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Švígler, J. (2010). Kinematic Analysis of Screw Surface Contact. In: Pisla, D., Ceccarelli, M., Husty, M., Corves, B. (eds) New Trends in Mechanism Science. Mechanisms and Machine Science, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9689-0_8

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  • DOI: https://doi.org/10.1007/978-90-481-9689-0_8

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-9688-3

  • Online ISBN: 978-90-481-9689-0

  • eBook Packages: EngineeringEngineering (R0)

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