Abstract
In this paper, the dynamic equations are established for the active robot hand to manipulate an object. According to the hand design features and certain assumptions, we outline the geometrical and frictional conditions that must be satisfied for the hand to manipulate an object, and propose the objective performance functional of the optimal distributions of its fingertip forces. Further, we adopt the integral SUMT of the closed-region-functional extreme value to determine the force functional extreme value to determine the force function for each fingertip of the hand. Finally, an example is given for the A3-A3-A3 kind of the active hand( The hand is composed of three fingers, each with 3 degrees of freedom, while A3 signifies that the fingertip contact with the object is a point contact with friction) to make the pen draw a planar curve.
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
Cicala, P., An engineering approach to the calculus of variations. Turin, Italy, Levrotto and Bella, 1957.
Bolza, O., Lectures on the calculus of variations, Chicago, The University of Chicago Press, 1904.
Sage, A P., White, C.C., Optimum systems control, Englewood clif, New Jersey, Prentice-hall, Inc, 1977.
Athans,M.,and Falb,P.L., Optimal control, New York, McGraw-hill,1966.
Bellman, R., Dynamic programming, Princeton, N.J., Princeton University Press, 1957.
Gong Xi-Fang, The calculus of the optimal control problems, Beijing,China, Science Press(in Chinese), 1979.
Guo,G.L., The research report of BIAA, BH-2275(in Chinese),1986.
Fox, R.L., Optimization method for engineering design, Mass., A ddison-Wesley, Reading, 1972.
Matthew T. Mason, Kenneth Salisbury, J., Robot hands and the mechanics of manipulation, Mass., The M.I.T. Press, 1985.
Okada, T., IEEE Trans. on System, man, and Cybernetics, Vol.SMC-9 No.2, 1979.
Hanafusa, H. and Asada, H., Proc. 7th Int. Symp. on Industrial Robots, Tokyo, 1977.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag New York Inc.
About this paper
Cite this paper
Gongliang, G., Qi-xian, Z. (1988). Optimal Distributive Relation Between Fingertip Forces for the Active Robot Hand to Manipulate an Object. In: Radharamanan, R. (eds) Robotics and Factories of the Future ’87. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73890-6_48
Download citation
DOI: https://doi.org/10.1007/978-3-642-73890-6_48
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-73892-0
Online ISBN: 978-3-642-73890-6
eBook Packages: Springer Book Archive