This paper presents dimensional synthesis of a 3 degrees of freedom (DOF) spatial 3-revolute-prismatic-spherical (RPS) parallel manipulator. Tsai and Kim ((2003) ASME J. Mech. Des., 125, pp. 92–97) have shown that the dimensional synthesis can be carried out for at the most six prescribed positions and orientations of the moving platform. The method of synthesis is modified (least-square technique) to make it possible to synthesize the 3-RPS manipulator for any number of positions and orientations of the moving platform. The effectiveness of the modified method of synthesis is demonstrated by considering an example for ten-position synthesis. The modified method of synthesis is an approximation method.
Issue Section:
Technical Briefs
1.
Gough
, V. E.
, and Whitehall
, S. G.
, 1962, “Universal Tyre Test Machine
,”Proc. Of the 9th international congress of F.I.S.I.T.A.
, 117
, pp. 117
–135
.2.
Stewart
, D.
, 1965, “A Platform with Six Degrees of Freedom
,” Proc. Inst. Mech. Engg.
, 180
(15
), pp. 371
–386
3.
Lee
, K.
, and Shah
, D. K.
, 1987, “Kinematic Analysis of a Three Degrees of Freedom In-Parallel Actuated Manipulator
,” Proc. IEEE International Conf. On Robotics and Automation
, Vol. 1
, pp. 345
–350
.4.
Lee
, K. M.
, and Shah
, D. K.
, 1988, “Dynamic Analysis of a Three Degrees of Freedom In-Parallel Actuated Manipulator
,” IEEE Trans. Rob. Autom.
1042-296X, 4
, pp. 361
–367
.5.
Yang
, P. H.
, Waldron
, K. J.
, and Orin
, D. E.
, 1996, “Kinematics of Three a Degrees-Of- Freedom Motion Platform for a Low Cost Driving Simulator
,” Recent Advances in Robot Kinematics
, J.
Lenarcic
and V.
Parenti-Casltelli
, eds., Kluwer Academic Publishers
, London, pp. 89
–98
.6.
Liu
, C. H.
, and Cheng
, S.
, 2004, “Direct Singular Positions of 3RPS Parallel Manipulator
,” ASME J. Mech. Des.
1050-0472, 126
, pp. 1006
–1016
.7.
Tsai
, L. W.
, and Kim
, H. S.
, 2003, “Kinematic Synthesis of a Spatial 3-RPS Parallel Manipulator
,” ASME J. Mech. Des.
1050-0472, 125
, pp. 92
–97
.8.
Tsai
, L. W.
, 1999, Robot Analysis: The Mechanics of Serial and Parallel Manipulators
, Wiley
, New York, pp. 142
–151
.9.
Press
, W. H.
et al., 1993, Numerical Recipes in C
, Cambridge University Press
, Cambridge, pp. 379
–383
.Copyright © 2006
by American Society of Mechanical Engineers
You do not currently have access to this content.