Operational Envelope of a Spatial Stewart Platform

Author:

Adkins F. A.1,Haug E. J.2

Affiliation:

1. Department of Applied Mathematical and Computational Sciences, University of Iowa, Iowa City, IA 52242

2. Department of Mechanical Engineering, University of Iowa, Iowa City, IA 52242

Abstract

This technical brief presents the operational envelope for the spatial Stewart platform and dome of a six degree of freedom driving simulator, extending prior work that has been limited to planar mechanisms and manipulators. The set of all points in space that can be occupied by any point in the dome of the simulator is defined as its operational envelope. The geometry of the driving simulator’s dome and unilateral constraints on actuator lengths are incorporated and details of the defining equations for the operational envelope are given. Numerical methods are used to calculate the boundary of the operational envelope and results are presented in graphical form.

Publisher

ASME International

Subject

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

Reference11 articles.

1. Bischof, C., and Mauer, A., “ADIC: A Tool for the Automatic Differentiation of C Programs,” Technical Report Preprint MCS-P499-0295, Mathematics and Computer Science Division, Argonne National Laboratory, 1995.

2. Freudenstein F. , and PrimroseE. J., “On the Analysis and Synthesis of the Workspace of a Three-Link, Turning-Pair Connected Robot Arm,” ASME Journal of Mechanisms, Transmissions, and Automation in Design, Vol. 106, pp. 365–370, 1984.

3. Griewank, A., Juedes, D., and Srinivas, J., “ADOL-C; A Package for the Automatic Differentiation of Algorithms Written in C/C++,” Technical Report Preprint MCS-P180-1190, Mathematics and Computer Science Division, Argonne National Laboratory, 1990.

4. Haug, E. J., Luh, C. M., and Adkins, F. A., “Operational Envelopes for Working Bodies in Mechanisms and Manipulators,” ASME Journal of Mechanical Design, in press, 1996.

5. Haug, E. J., Luh, C. M., Adkins, F. A., and Wang, J. Y., “Numerical Algorithms for Mapping Boundaries of Manipulator Workspaces,” ASME Journal of Mechanical Design, in press, 1996.

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