Skip to main content

Part of the book series: Mechanical Engineering Series ((MES,volume 124))

  • 201k Accesses

Abstract

The purpose of this chapter is to lay down the foundations of the kinetostatics and dynamics of rigid bodies, as needed in the study of multibody mechanical systems. With this background, we study the kinetostatics and dynamics of robotic manipulators of the serial

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    A body undergoes a pure translation when all its points move under the same displacement.

  2. 2.

    Smoothness means that they do not introduce jump discontinuities upon differentiation.

  3. 3.

    See Exercise 3.17.

References

  • Angeles, J., 1988, Rational Kinematics, Springer-Verlag, New York.

    Book  MATH  Google Scholar 

  • Bondy, M., Krishnasamy, R. Crymble, D. and Jasiobedzki, P., 2007, “Space vision marker system (SVMS),” AIAA SPACE 2007 Conference & Exposition, September 18–20, Long Beach, CA.

    Google Scholar 

  • Brand, L., 1965, Advanced Calculus, John Wiley & Sons, New York.

    MATH  Google Scholar 

  • Ceccarelli, M., 1995, “Screw axis defined by Giulio Mozzi in 1763”, Proc.  Ninth World Congress on the Theory of Machines and Mechanisms, August 29–September 2, Milan, vol. 4, pp. 3187–3190.

    Google Scholar 

  • Chasles, M., 1830, “Notes sur les propriétés générales de deux corps semblables entr’eux et placés d’une manière quelconque dans l’espace, et sur le déplacement fini ou infiniment petit d’un corps solide libre”, Bull. Sci. Math. Ferrusaac 14, pp. 321–326.

    Google Scholar 

  • Coriolis, G.G., 1835. “Mémoire sur les équations du mouvement relatif des systèmes des corps”, J.Ecole Polytechnique 15, cahier 24, pp. 142–154.

    Google Scholar 

  • Everett, J.D., 1875, “On a new method in statics and kinematics”, Messenger of Mathematics 45, pp. 36–37.

    Google Scholar 

  • Mozzi, G., 1763, Discorso Matematico Sopra il Rotamento Momentaneo dei Corpi, Stamperia di Donato Campo, Naples.

    Google Scholar 

  • Phillips J., 1990, Freedom in Machinery. Vol 2: Screw Theory Exemplified, Cambridge University Press, Cambridge.

    Google Scholar 

  • Pottmann, H. and Wallner, J., 2001, Computational Line Geometry, Springer, Berlin-Heidelberg-New York.

    MATH  Google Scholar 

  • Roth, B., 1984, “Screws, motors, and wrenches that cannot be bought in a hardware store”, in Brady, M., and Paul, R.P. (editors), Robotics Research. The First International Symposium, The MIT Press, Cambridge, MA, pp. 679–693.

    Google Scholar 

  • von Mises, R., 1924, “Motorrechnung, ein neues Hilfsmittel der Mechanik”, Z. Angewandte Mathematik und Mechanik 4, no. 2, pp. 155–181.

    Article  MATH  Google Scholar 

  • von Mises, R., 1996, “Motor calculus. A new theoretical device for mechanics”, translated from the German by J. E. Baker and K. Wohlhart, Institute for Mechanics, Technical University of Graz, Graz.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Angeles, J. (2014). Fundamentals of Rigid-Body Mechanics. In: Fundamentals of Robotic Mechanical Systems. Mechanical Engineering Series, vol 124. Springer, Cham. https://doi.org/10.1007/978-3-319-01851-5_3

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-01851-5_3

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-01850-8

  • Online ISBN: 978-3-319-01851-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics