Forward Kinematics

  • Reza N. Jazar


A series robot with n joints will have n +1 links. Numbering of links starts from (0) for the immobile grounded base link and increases sequentially up to (n) for the end-effector link. Numbering of joints starts from 1, for the joint connecting the first movable link to the base link, and increases sequentially up to n. Therefore, the link (i) is connected to its lower link (i − 1) at its proxi7nal end by joint i and is connected to its upper link (i + 1) at its distal end by joint 2 + 1, as shown in Figure 5.1.
Figure 5.1.

Link (i) and its beginning joint i − 1 arid its end joint i.


Transformation Matrix Coordinate Frame Revolute Joint Joint Variable Rest Position 
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  1. Asada, H., and Slotine, J. J. E., 1986, Robot Analysis and Control, John Wiley & Son, New York.Google Scholar
  2. Ball, R. S., 1900, A Treatise on the Theory of Screws, Cambridge University Press, USA.Google Scholar
  3. Bernhardt, R., and Albright, S. L., 2001, Robot Calibration, Springer, New York.Google Scholar
  4. Bottema, O., and Roth, B., 1979, Theoretical Kinematics, North-Holland Publication, Amsterdam, The Netherlands.MATHGoogle Scholar
  5. Davidson, J. K., and Hunt, K. H., 2004, Robots and Screw Theory: Applications of Kinematics and Statics to Robotics, Oxford University Press, New York.MATHGoogle Scholar
  6. Denavit, J., and Hartenberg, R. S., 1955, A kinematic notation for lowerpair mechanisms based on matrices, Journal of Applied Mechanics, 22(2), 215–221.MATHMathSciNetGoogle Scholar
  7. Hunt, K. H., 1978, Kinematic Geometry of Mechanisms, Oxford University Press, London.MATHGoogle Scholar
  8. Mason, M. T., 2001, Mechanics of Robotic Manipulation. MIT Press, Cambridge, Massachusetts.Google Scholar
  9. Paul, R. P.. 1981, Robot Manipulators: Mathematics, Programming, and Control, MIT Press, Cambridge, Massachusetts.Google Scholar
  10. Schilling, R. J., 1990, Fundamentals of Robotics: Analysis and Control, Prentice Hall, New Jersey.Google Scholar
  11. Schrocr, K., Albright, S. L., and Grethlein, M., 1997, Complete, minimal and model-continuous kinematic models for robot calibration, Rob. Comp.-Integr. Manufact.. 13(1), 73–85.CrossRefGoogle Scholar
  12. Spong, M. W., Hutchinson, S., and Vidyasagar, M., 2006. Robot Modeling and Control, John Wiley & Sons, New York.Google Scholar
  13. Suh, C. H-, and Radcliff; C. W., 1978, Kinematics and Mechanisms Design, John Wiley & Sons, New York.Google Scholar
  14. Tsai, L. W., 1999, Robot Analysis, John Wiley & Sons, New York.Google Scholar
  15. Wang. K., and Lien, T., 1988, Structure, design & kinematics of robot manipulators, Robotica, 6, 299–306.CrossRefGoogle Scholar
  16. Zhuang, H., Roth, Z. S., and Hainano, F., 1992, A complete, minimal and model-continuous kinematic model for robot manipulators, IEEE Trans. Rob. Automation, 8(4), 451–463.CrossRefGoogle Scholar

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© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  • Reza N. Jazar
    • 1
  1. 1.Department of Mechanical EngineeringManhattan CollegeRiverdale

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