Kinematic Analysis of a Novel Translational Platform

Author:

Callegari Massimo1,Tarantini Matteo1

Affiliation:

1. Department of Mechanics, Universita´ Politecnica delle Marche 60131 Ancona, Italy

Abstract

A new three-d.o.f. parallel mechanism, with 3-RPC topology, is presented in the paper and its kinematics is studied. The proposed architecture, if proper geometrical conditions are satisfied, has an overconstrained structure which allows motions of pure translation. The simple structure of the mechanism allows finding closed-form solutions for both inverse and direct position kinematics; the differential analysis has been developed as well, by deriving a symbolic expression for the Jacobian matrix. Then, some design considerations are exposed to keep the singular points out of the working space of the mechanism and all the isotropic configurations are eventually identified.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference24 articles.

1. Stewart, D. , 1965, “A Platform with Six Degrees of Freedom,” Proc. Inst. Mech. Eng., 180, pp. 371–386.

2. Clavel, R., 1988, “Delta, A Fast Robot with Parallel Geometry,” Proc. 18th Intl. Symp. on Industrial Robots, Lausanne, France, Apr. 26–28, pp. 91–100.

3. Herve´, J. M., and Sparacino, F., 1992, “Star, A New Concept in Robotics,” Proc. Advances in Robot Kinematics, Ferrara, Italy, Sept. 7–9, pp. 176–183.

4. Tsai, L. W., and Stamper, R., 1996, “A Parallel Manipulator with Only Translational Degrees of Freedom,” Proc. ASME Design Engineering Technical Conference, Irvine, CA, 96-DETC-MECH-1152.

5. Zobel, P. B., Di Stefano, P., and Raparelli, T., 1996, “The Design of a 3 dof Parallel Robot with Pneumatic Drives,” Proc. 27th Intl. Symp. on Industrial Robots, Milan, Italy, Oct. 6–8, pp. 707–710.

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