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Kinematic Analysis of Complex Planar Mechanisms of Higher Classes

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International Applied Mechanics Aims and scope

A sequence of actions is developed and a kinematic analysis of a complex planar mechanism of the fourth class with a structural group of links of the second order is carried out using mathematical models implemented in MathCad. The kinematic analysis is performed by the graphoanalytical method for validation purposes. The provisions of the theory of mechanisms and machines on the structural design of mechanisms are taken into account. The Assur singular point of a structural group of links of a complex mechanism is used. It is confirmed that the kinematic analysis is performed correctly with an accuracy of at least 95%, which is typical for engineering analyses. The proposed sequence of kinematic analysis of a complex planar mechanism can be used for similar studies of mechanisms of the fourth and higher classes.

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References

  1. E. S. Gebel and E. V. Solonin, “Kinematic modeling of needle mechanism of warp knitting machine,” in: Proc. 10th Int. Sci.-Pract. Conf. on from Theoretical Knowledge to Practice [in Russian], Vol. 2, Omsk (2009), pp. 211–215.

  2. V. M. Dvorzhak, “Computer simulation of mechanisms of warp knitting machines with structural groups of the third class and the third order with translational pairs,” Visn. Kyiv Nats. Univ. Tekh. Des., Tekh. Nauk., No. 6, 37–46 (2015).

  3. V. M. Dvorzhak, “Mathematical modeling of mechanisms of sewing machines with structural groups of the third class and the third order with two translational pairs,” Visn. Kyiv Nats. Univ. Tekh. Des., Tekh. Nauk., No. 5, 99–108 (2016).

  4. V. M. Dvorzhak, “Force analysis of the mechanism of the rocking movement of the earth needles of warp knitting machines,” Visn. Kyiv Nats. Univ. Tekh. Des., Tekh. Nauk., 134, No. 3, 26–35 (2019).

    Google Scholar 

  5. A. B. Kikin, “Synthesis of lever mechanisms for the drive of the traversing mechanism of a winder,” Izv. Vyssh. Uch. Zav., Tekhn. Tekst. Prom., No. 1, 115–119 (2005).

  6. A. B. Kikin and E. E. Peisakh, “Analytical and optimizational synthesis of a six-link mechanism with a dwell,” Izv. Vyssh. Uch. Zav., Tekhn. Tekst. Prom., No. 5, 79–83 (2008).

  7. S. O. Koshel and G. V. Koshel, “Analysis of planar mechanisms of higher classes with a connecting rod that has the form of a complex link,” Visn. Khmeln. Nats. Univ., Tekh. Nauk, No. 5, 16–20 (2017).

  8. S. O. Koshel and G. V. Koshel, “Structural analysis of complex planar mechanisms of the fourth class,” Visn. Khmeln. Nats. Univ., Tekhn. Nauky, No. 1, 72–79 (2015).

  9. D. O. Chashnikov and V. V. Garyashin, “Kinematic analysis of a planar eight-link mechanism of the sixth class with a translational pair by an analytical method,” Usp. Sovr. Estestv., No. 6, 158–159 (2012).

  10. D. O. Chashnikov and V. V. Garyashin, “Kinematic study of a flat eight-link mechanism of the sixth class with a translational pair,” Usp. Sovr. Estestvozn., No. 7, 231–232 (2011).

  11. M. Dobija, J. Drewniak, S. Zawiślak, B. Shingissov, and A. Zhauyt, “Countour graph application in kinematical analysis of crane mechanism,” in: 24th Int. Conf. on Theory of Machines and Mechatronic Systems, Poland (2014), pp. 31–32.

  12. S. Joldasbekov, S. Ibraev, A. Zhauyt, A. Nurmagambetova, and N. Imanbaeva, “Modular synthesis of plane lever six-link mechanism of high class,” J. of Sci. Res., 21, No. 12, 2339–2345 (2014).

    Google Scholar 

  13. S. Koshel and A. Koshel, “Analysis of fourth class plane mechanisms with structural groups of links of the second order,” Odes. Polit. Univ. Pratsi, No. 1, 12–17 (2018).

  14. S. Koshel and A. Koshel, “Analysis of fourth-grade flat machines with movable close-cycle formed by the rods and two complex links,” Odes. Polit. Univ. Pratsi, No. 2, 9–13 (2016).

  15. S. Koshel and A. Koshel, “Definition of accelerations of points of a plane mechanism of the fourth class by graph-analytical method,” Odes. Polit. Univ. Pratsi, No. 2, 28–33 (2018).

  16. S. Koshel and A. Koshel, “Structural analysis of the mechanism with a third-class structure group of the fourth order,” Odes. Polit. Univ. Pratsi, No. 1, 29–34 (2019).

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Correspondence to S. O. Koshel’ or M. G. Zalyubovskyi.

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Translated from Prikladnaya Mekhanika, Vol. 58, No. 1, pp. 128–142, January–February 2022.

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Koshel’, S.O., Dvorzhak, V.M., Koshel’, G.V. et al. Kinematic Analysis of Complex Planar Mechanisms of Higher Classes. Int Appl Mech 58, 111–122 (2022). https://doi.org/10.1007/s10778-022-01138-1

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  • DOI: https://doi.org/10.1007/s10778-022-01138-1

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