Advertisement

Dimensional Synthesis of Six-Bar Linkages with Incomplete Data Set

  • Shaoping BaiEmail author
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 24)

Abstract

The paper deals with the synthesis problem of six-bar linkage for motion guidance with a finite set of prescribed poses. Compared with four-bar linkage which admits exact solutions for five separated poses, the six-bar linkages in general admit infinitive many solutions for the same number of poses, due to the fact that the motion-guidance in the case of six-bar linkage provides incomplete data for linkage synthesis. In this paper, the problem of six-bar linkage synthesis is revisited addressing the problem with incomplete data and its implication in design flexibility. A new method is developed to incorporate with incomplete set of data. A design example is included to demonstrate the application of the method.

Keywords

Burmester problem Six-bar linkage Rigid-body guidance Exact dimensional synthesis Synthesis with incomplete data set 

Notes

Acknowledgments

The author acknowledges the industrial support from Peder Nielsen Beslagfabrik A/S and collaboration with Mr. Skjold Rune Mortensen.

References

  1. 1.
    Burmester L (1888) Lehrbuch der Kinematik. Arthur Felix Verlag, LeipzigGoogle Scholar
  2. 2.
    Bottema O, Roth B (1979) Theoretical kinematics. North-Holland Pub. Co., New YorkzbMATHGoogle Scholar
  3. 3.
    McCarthy JM, Soh GS (2011) Geometric design of linkages. Springer, New YorkCrossRefzbMATHGoogle Scholar
  4. 4.
    Hunt KH (1978) Kinematic geometry of mechanisms. Oxford University Press, New YorkzbMATHGoogle Scholar
  5. 5.
    Modler KH (1972) Beitrag zur theorie der burmesterschen mittelpunktkurve, –teil 1. Maschinenbautechnik 21(3):98–102Google Scholar
  6. 6.
    Al-Widyan K, Angeles J, Cervantes-Sánchez JJ (2002) A numerical roboust algorithm to solve the five-pose Burmester problem. In: Proceedings of DETC2002, Montreal, #MECH-34270Google Scholar
  7. 7.
    Angeles J, Bai S (2010) A robust solution of the spherical Burmester problem. In: Proceedings of DETC2010, Montreal, #MECH–28189Google Scholar
  8. 8.
    Bai S, Angeles J (2012) A robust solution of the spatial Burmester problem. ASME J Mech Robot 4(3):031003.1–031003.10Google Scholar
  9. 9.
    Soh GS, McCarthy JM (2008) The synthesis of six-bar linkages as constrained planar 3R chains. Mech Mach Theory 43(2):160–170CrossRefzbMATHGoogle Scholar
  10. 10.
    Shiakolas PS, Koladiya D, Kebrle J (2005) On the optimum synthesis of six-bar linkages using differential evolution and the geometric centroid of precision positions technique. Mech Mach Theory 40(3):319–335CrossRefzbMATHGoogle Scholar
  11. 11.
    Todorov TS (1997) Synthesis of Watt’s six-link mechanism for manipulation action in relative space. Mech Mach Theory 32(5):559–568CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of Mechanical and Manufacturing EngineeringAalborg UniversityAalborgDenmark

Personalised recommendations