Kinematic Synthesis of Spherical Four-bar Linkages for Five-Poses Rigid Body Guidance

  • Giorgio Figliolini
  • Chiara Lanni
  • Ramandeep KaurEmail author
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 73)


This paper deals with the kinematic synthesis of spherical four-bar linkages for five-poses rigid body guidance. Particular attention is devoted to the algebraic formulation of the Burmester circlepoint and centerpoint conical surfaces, which are determined for two arbitrary four poses groups among the five assigned poses. The Burmester points are algebraically computed by intersecting each pair of the cubic conical surfaces with the unit sphere in order to synthesize a suitable spherical four-bar linkage. The proposed formulation has been implemented in Matlab and both circlepoint and centerpoint conical surfaces, as well as, the synthesis of a solar tracking spherical four-bar linkage for five-poses rigid body guidance, are presented along with significant results.


Spherical Burmester problem spherical four-bar linkages Burmester circle and center -points conical surfaces 


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Giorgio Figliolini
    • 1
  • Chiara Lanni
    • 2
  • Ramandeep Kaur
    • 2
    Email author
  1. 1.University of Cassino & Southern LazioCassinoItaly
  2. 2.Simon Fraser University, Sch. of Eng. Sci. 8888 University Dr.BurnabyCanada

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