Abstract
This paper presents the direct position analysis in analytical form of the general fully in-parallel actuated six degrees-;of-freedom manipulator having geometric uncoupling between position and orientation of the platform. The analysis, performed in two steps, leads first to a 2nd order polynomial equation in one unknown for the position of the platform reference point; then, for each position, an 8th order polynomial equation in one unknown can be solved for the orientation of the platform. Consequently, the mechanism can be assembled at most in 16 configurations. An example is reported for illustrating the new theoretical results.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Hunt K. J., “Structural Kinematics of in-Parallel-Actuated Robot-Arms”, Trans. ASME, J. Mech. Trans. Autom. Design., Vol. 105, 1983, pp. 705–T12.
Williams II R. L., Reinholtz C. F., “Forward Dynamic Analysis and Power Requirement Comparison of Parallel Robotic Mechanisms”, The 1988 ASME Design Technology Conferences-20th Biennial Mechanisms Conference, September 25-28, Kissimmee, Florida, pp. 71–78.
McCloy D., “Some Comparisons of Serial-Driven and Parallel-Driven Manipulators”, Robotica, Vol. 8, 1990, pp.355–362.
Thornton G. S., “The GEC Tetrabot-A New Serial-Parallel Assembly Robot”, Proceedings 1988 IEEE Int. Conference on Robotics and Automation, April 24-29, 1988, Philadelphia, Pennsylvania, pp.437–439.
Zhang C, Song S., “Kinematics of Parallel Manipulators with a Positional Subchain”, 1990 21th ASME Mechanisms Conference, 16-19 Sept., 1990 Chicago, IL, DE-Vol. 25, pp. 271–278.
Nanua P., Waldron K. J., “Direct Kinematic Solution of a Special Parallel Robot Structure”, Proc. 8th Int. Symposium on Theory and Practice of Robots and Manipulators, Ro.man.sy’ 90, July 2-6, 1990, Cracow, Poland, pp. 131–139.
Innocenti C, Parenti Castelli V., “Closed Form Direct Position Analysis for the Most General Fully-Parallel Spherical Wrist”, Report N. 67 DIEM, Bologna, August 1990.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Innocenti, C., Parenti-Castelli, V. (1992). Direct Kinematics of the 6-4 Fully Parallel Manipulator with Position and Orientation Uncoupled. In: Tzafestas, S.G. (eds) Robotic Systems. Microprocessor-Based and Intelligent Systems Engineering, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2526-0_1
Download citation
DOI: https://doi.org/10.1007/978-94-011-2526-0_1
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5115-6
Online ISBN: 978-94-011-2526-0
eBook Packages: Springer Book Archive