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Motion Kinematics

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Abstract

A rotation φ about an axis û and a displacement d is the general motion of a rigid body B in a global frame G. The rigid body motion can be defined by a 4 by 4 matrix.

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  • Ball, R. S., 1900, A Treatise on the Theory of Screws, Cambridge University Press, USA.

    Google Scholar 

  • Bottema, O., and Roth, B., 1979, Theoretical Kinematics, North-Holland Publication, Amsterdam, The Netherlands.

    MATH  Google Scholar 

  • Chernousko, F. L., Bolotnik, N. N., and Gradetsky, V. G., 1994, Manipulation Robots: Dynamics, Control, and Optimization, CRC press, Boca Raton, Florida.

    Google Scholar 

  • Davidson, J. K., and Hunt, K. H., 2004, Robots and Screw Theory: Applications of Kinematics and Statics to Robotics, Oxford University Press, New York.

    MATH  Google Scholar 

  • Denavit, J., and Hartenberg, R. S., 1955, A kinematic notation for lowerpair mechanisms based on matrices, Journal of Applied Mechanics, 22 (2), 215-221.

    MATH  MathSciNet  Google Scholar 

  • Hunt, K. H., 1978, Kinematic Geometry of Mechanisms, Oxford University Press, London.

    MATH  Google Scholar 

  • Mason, M. T., 2001, Mechanics of Robotic Manipulation, MIT Press, Cambridge, Massachusetts.

    Google Scholar 

  • Murray, R. M., Li, Z., and Sastry, S. S. S., 1994, A Mathematical Introduction to Robotic Manipulation, CRC Press, Boca Raton, Florida.

    MATH  Google Scholar 

  • Niku, S. B., 2001, Introduction to Robotics: Analysis, Systems, Applications, Prentice Hall, New Jersey.

    Google Scholar 

  • Plücker, J., 1866, Fundamental views regarding mechanics, Philosophical Transactions, 156, 361-380.

    Article  Google Scholar 

  • Selig, J.M., 2005, Geometric Fundamentals of Robotics, 2nd ed., Springer, New York.

    MATH  Google Scholar 

  • Schaub, H., and Junkins, J. L., 2003, Analytical Mechanics of Space Systems, AIAA Educational Series, American Institute of Aeronautics and Astronautics, Inc., Reston, Virginia.

    Google Scholar 

  • Schilling, R. J., 1990, Fundamentals of Robotics: Analysis and Control, Prentice Hall, New Jersey.

    Google Scholar 

  • Suh, C. H., and Radcliff, C. W., 1978, Kinematics and Mechanisms Design, John Wiley & Sons, New York.

    Google Scholar 

  • Spong, M.W., Hutchinson, S., and Vidyasagar, M., 2006, Robot Modeling and Control, John Wiley & Sons, New York.

    Google Scholar 

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Correspondence to Reza N. Jazar .

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Jazar, R.N. (2010). Motion Kinematics. In: Theory of Applied Robotics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-1750-8_4

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  • DOI: https://doi.org/10.1007/978-1-4419-1750-8_4

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  • Online ISBN: 978-1-4419-1750-8

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