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Kinematics of a n–bay triangle–triangle variable geometry truss manipulator

Published online by Cambridge University Press:  09 March 2009

L. Beiner
Affiliation:
Faculty of Engineering, Tel-Aviv University, Ramat-Aviv 69978 (Israel)

Summary

Variable geometry truss manipulators (VGTM) are static trusses where the lengths of some members can be varied, allowing one to control the position of the free end relative to the fixed one. This paper deals with a planar VGTM consisting of a n–bay triangle-triangle truss with one variable length link (i.e. one DOF) per bay. Closed-form solutions to the forward, inverse, and velocity kinematics of a 3-DOF version of this VGTM are presented, while the forward and inverse kinematics of an n–DOF (redundant) one are solved by a recursive and an iterative method, respectively. A numerical example is presented.

Type
Article
Copyright
Copyright © Cambridge University Press 1992

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References

1.Crawford, R.F. and Mikulas, M.M., “Sequentially Deployable Maneuverable Tetrahedral Beam” NASA-Case LAR 13098–1 (1982).Google Scholar
2.Miura, K., Furuya, H. and Suzuki, K., “Variable Geometry Truss and its Application to Deployable Truss and Space Crane Arm35th Congress of the International Astronautical Federation,Lausanne, Switzerland (1984) pp. 00.Google Scholar
3.Reinholtz, C.F. and Gokhaie, D., “Design and Analysis of Variable Geometry Truss Robots” Proceedings of the 10th Applied Mechanism Conference, Vol. 1, Session 3C, New Orleans (1987).Google Scholar
4.Jain, S. and Kramer, S.N., “Forward and Inverse Kinematic solution of the Variable Geometry Truss Robot Based on an N-Celled Tetrahedron-Tetrahedron TrussASME J. Mechanical Design 112, 1622 (03, 1990).CrossRefGoogle Scholar
5.Salerno, R.J., Reinholtz, C.F. and Dhande, S.G., “Kinematics of Long-Chain Variable Geometry Truss Manipulators: An Overview of Solution Techniques” 2nd International Workshop on Advances in Robot Kinematics, Linz, Austria (09 1990).CrossRefGoogle Scholar