The kinematic properties of multiloop chains for robot appli cations are investigated using a structure-based approach. The basic concepts related to algebraic groups of displace ments and to Assur's groups are used in order to provide systematic foundations for analysis and synthesis procedures. Analysis techniques are described, and several examples of real applications are given.
Get full access to this article
View all access options for this article.
References
1.
Alizade, R.I., Hajiyev, E.T., and Sandor, G.N.1985. Type synthesis of spatial mechanisms on the basis of spatial single loop structural groups. Mech. Machine Theory20(2):95-101.
2.
Andre, P., Kauffmann, J.M., Lhote, F., and Taillard, J.P.1983. Les Robots—Tome 4. Paris: Hermes Publishing.
3.
Artobolevskii, I.I.1975. Theory of Mechanisms and Machines. Moscow: MIR.
4.
Davies, T.H.1983. Mechanical networks I, II andIII. Mech. Machine Theory18(2):95-112.
5.
Djoldasbekov, U.A., and Slutskii, L.I.1983. Manipulators with variable link lengths: Kinematics and possibilities. Mech. Machine Theory18(4):271-274.
6.
Earl, C.F., and Rooney, J.1983. Some kinematic structures for robot manipulator designs . Trans. ASME J. Mech. Trans. Automat. Des.105(1):15-22.
7.
Fanghella, P.1988. Kinematics of spatial linkages by group algebra: A structure-based approach. Mech. Machine Theory23(3):171-183.
8.
Fanghella, P., and Galletti, C.1985. Computer-aided methods for the synthesis of mechanism kinematic models: Planar and spatial cases. In R. A. Adey, ed.: Proc. 4th Int. Conf on Engineering Software . London: Springer-Verlag, pp. 16.17-16.27.
9.
Fichter, E.F.1986. A Stewart platform-based manipulator: General theory and practical construction. Int. J. Robot. Res.5(2):157-182.
10.
Freeman, R.A., and Tesar, D.1982. The generalized coordinate selection for the dynamics of complex planar mechanical systems. Trans. ASME J. Mech. Des. 104(1):206-217.
11.
Freudenstein, F., Longman, R.W., and Chen, C.-K.1984. Kinematic analysis of robotic bevel-gear trains. Trans. ASME J. Mech. Trans. Automat. Des.106(3):371-375.
12.
Galletti, C.1986. A note on modular approaches to planar linkage kinematic analysis. Mech. Machine Theory21(5):385-391.
13.
Hervé, J.M.1978. Analyse structurelle des mechanismes par groupe des deplacements . Mech. Machine Theory13(6):437-450.
14.
Hunt, K.H.1983. Structural kinematics of in-parallel-actuated robot-arms . Trans. ASME J. Mech. Trans. Automat. Des.105(4):705-712.
15.
Manolescu, N.I.1968. For a united point of view in the study of the structural analysis of kinematic chains and mechanisms. J. Mech.3(3):149-169.
16.
Ryan, A.D., and Hunt, K.H.1985. Adjustable straight-line linkages—possible legged-vehicle applications. Trans. ASME J. Mech. Trans. Automat. Des.107(2):256-261.
17.
Song, S.M., Waldron, K.J., and Kinzel, G.L.1985. Computer-aided geometric design of legs for a walking vehicle. Mech. Machine Theory20(6):587-596.
18.
Suzuki, T., and Kohno, M.1984. The flexible parts feeder which helps a robot assemble automatically. In Heginbotham, W., ed.: Programmable Assembly. Bedford, UK: IFS Publications, Springer-Verlag, pp. 267-280.
19.
Tsai, Y.C., and Soni, A.H.1985. Workspace synthesis of 3R, 4R, 5R and 6R robots. Mech. Machine Theory20(6):555-563.