Abstract
This chapter considers the problems of dynamics assuming that robot links are infinitely rigid. The discussion starts with relevant ideas from the theory of mechanisms (kinematic pairs and chains, degrees of freedom, etc.) and then defines the parameters that describe the robot link geometry. Kinematics and dynamics concern free motion of the robot arm. Dynamic model of the robot chain is expanded by introducing the actuator dynamics and elastodynamics of the transmission system. Finally, some issues of control are elaborated.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Yu. Stepanenko, “Method of Analysis of Spatial Lever Mechanisms”, (in Russian), Mekhanika Mashin, Vol. 23, Moscow, 1970.
M. Vukobratovic, Yu. Stepanenko, “Mathematical Models of General Anthropo-morphic Systems”, Math. Biosciences, Vol. 17, pp. 191–242, 1973.
J. Denavit, R. S. Hartenberg, “A Kinematic Notation for Lower-Pair Mechanisms Based on Matrices”, J. Applied Mechanics, pp. 215–221, June 1955.
M. Vukobratovic, V. Potkonjak, Scientific Fundamentals of Robotics, Vol. 1: Dynamics of Manipulation Robots, Springer-Verlag, 1982.
M. Vukobratovic, V. Potkonjak, Scientific Fundamentals of Robotics, Vol. 6: Applied Dynamics and CAD of Manipulation Robots, Springer-Verlag, 1985.
M. Vukobratovic, D. Stokic, Scientific Fundamentals of Robotics, Vol. 2: Control of Manipulation Robots, Springer-Verlag, 1982.
M. Vukobratovic, Applied Dynamics of Manipulation Robots: Modeling, Analysis and Examples, Springer-Verlag, 1989.
V. Potkonjak, “Contribution to the Dynamics and Control of Robots Having Elastic Transmissions”, Robotica, Vol. 6, pp. 63–69, 1988.
N. Kircanski, A. Timchenko, M. Vukobratovic, “Position Control of Robot Manipulators with Elastic Joints Using Force Feedback”, Journal of Robotic Systems, Vol. 7, pp. 535–545, 1990.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Vukobratovic, M., Potkonjak, V., Matijevic, V. (2003). Free Motion of a Rigid-Body Robot Arm. In: Dynamics of Robots with Contact Tasks. International Series on Microprocessor-Based and Intelligent Systems Engineering, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0397-0_2
Download citation
DOI: https://doi.org/10.1007/978-94-017-0397-0_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6515-5
Online ISBN: 978-94-017-0397-0
eBook Packages: Springer Book Archive