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Kinematic synthesis of linkage mechanisms using burmester points at the given dwell duration of the output link

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The paper is dedicated to the kinematic synthesis of dwell linkage mechanisms on the basis of the four-bar linkage. As known, to obtain the dwell of the output link, linkage mechanisms can be used and they have a number of advantages in comparison with other types of mechanisms. Using the kinematic geometry methods, special points of the mechanism’s coupler plane can be found. One of these points is Burmester point and it enables to synthesize four-bar linkages which coupler point traces the curve, a part of which is approximately close to the arc of the circle. By joining the additional structural group, dwell linkage mechanism can be designed. But the problem is to find such parameters of the mechanism which allow designing dwell linkages with a given duration of the dwell. Using the presented numerical and analytical method, this problem was solved; the samples of reference diagrams for the synthesis are also presented in the article. The method enables to carry out kinematic synthesis of dwell mechanisms, taking into account a number of other parameters, such as the length of the links, maximum displacement of the output link, dwell exactitude etc.
Twórcy
  • Department of Mechanical Engineering, Khmelnytskyi National University, Instytutska str. 11, Khmelnytskyi 29016, Ukraine
Bibliografia
  • 1. Artobolevsky I.I., Levitsky N.I., Cherkudinov S.A. Synthesis of planar mechanisms – Moscow: Fizmatgiz, 1959 [in Russian].
  • 2. Burmester L. Lehrbuch der Kinematik. Felix Verlag, Leipzig, Germany 1888.
  • 3. Gassmann V. Synthese von Geradführungen mit ebenen Viergelenkgetrieben, Hamburg, Universität der Bundeswehr Diss., 2000.
  • 4. Kinytskyi Ya. T. Chebyshev’s linkages with dwell of the output link. Kyiv: Vyshcha shkola, 1990 [in Russian].
  • 5. Kharzhevskyi V.O. Synthesis of the linkage mechanisms with dwell of the output links using kinematic geometry methods: monography. – Khmelnytskyi RVC KhNU, 2015 [in Ukrainian].
  • 6. Kharzhevskyi V.O. The method of determining of coupler points’ position for the designing of the linkage straight-line mechanisms //Herald of Gomel State Technical University named after P.O.Sukhoi. 2015. 4(63), 7-13 [in Russian].
  • 7. McCarthy, J., Soh G. Geometric Design of Linkages, 2nd edition. Springer-Verlag, New York, 2011.
  • 8. Murray A., McCarthy J. Determining Burmester points from the analysis of a planar platform // Trans. ASME J. Mech. Des. – 1995, Vol. 117, 303-307.
  • 9. Müller R. Konstruktion der Burmesterschen Punkte für ein ebenes Gelenksviereck, Zeitschrift Mathematik und Physik, 1892.
  • 10. Sarkissyan Y.L. Approximations in Synthesis of Mechanisms /State Engineering University of Armenia Proceedings, series “Mechanics, Machine Science, Machine-building”, Issue 15(2), 2012, 9-21.
  • 11. Yin L., Han J., Huang J., Yang T. “A General Method for Synthesizing Straight-Line Linkage with Ball and Burmester Points” //Applied Mechanics and Materials, Vols 215-216, 2012, 138-141.
  • 12. Wang D., Wang W. Kinematic Differential Geometry and Saddle Synthesis of Linkages – John Wiley & Sons Singapore Pte. Ltd., 2015.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)
Typ dokumentu
Bibliografia
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