A Summary of the Theory and Application of the Conics Method in Robot Kinematics

  • David R. Smith
  • Harvey Lipkin
Conference paper


A summary of the conics method is presented. This method provides a new way to analyze the kinematic geometry of fourth order manipulators. A condition is developed that is sufficient for a fourth order solution to reduce to a quadratic. Applying this condition to a 3R regional manipulator yields seven quadratic robot designs. Several of the derived geometries are sufficiently obscure that their discovery is unlikely without such a systematic approach.


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Copyright information

© Springer-Verlag Wien 1991

Authors and Affiliations

  • David R. Smith
    • 1
  • Harvey Lipkin
    • 1
  1. 1.The George W. Woodruff School of Mechanical EngineeringGeorgia Institute of TechnologyAtlantaUSA

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