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The Elastic Compression in the Contact Region of a Cam Mechanism General Kinematic Pair

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Advances in Mechanism Design II

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 44))

Abstract

The paper deals with the elastic compression in the contact region of a general kinematic pair. In the case of a general cam mechanism, the general kinematic pair is formed of the contact of the working surfaces of a cam and a follower. In technical practice, the contact of the cam and the follower is created by the cylinders in contact with the parallel axes for one thing and for another, by the cylinder and the three-dimensional body, which is described locally in contact with the orthogonal radii of curvature. This issue is solved on the basis of the contact mechanics. For both cases, the relations for calculating the elastic compression in the contact regions were defined. This mathematical model is verified through the experimental identification, the general kinematic pair is carried out using a testing device. The aim of the tests was to determine the mutual approach of distant points in the two three-dimensional solids in contact.

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References

  1. Johnson, K.L.: Contact Mechanics. Cambridge University Press, Cambridge (1985). ISBN 0 521 34796 3

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  2. Arfken, G.B., Weber, H.J., Harris, F.E.: Mathematical Methods for Physicists, 7th edn., Section 18.8, “Elliptic Integrals”, pp. 927–933, Elsevier, Waltham (2013). ISBN 978-0-12384654-9

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Acknowledgments

This paper was created within the work on the project FR-TI4/801—Project supported by the Ministry of Industry and Trade.

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Correspondence to J. Ondrášek .

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Ondrášek, J. (2017). The Elastic Compression in the Contact Region of a Cam Mechanism General Kinematic Pair. In: Beran, J., Bílek, M., Žabka, P. (eds) Advances in Mechanism Design II. Mechanisms and Machine Science, vol 44. Springer, Cham. https://doi.org/10.1007/978-3-319-44087-3_8

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  • DOI: https://doi.org/10.1007/978-3-319-44087-3_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-44086-6

  • Online ISBN: 978-3-319-44087-3

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