Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2024-12-24T16:16:06.914Z Has data issue: false hasContentIssue false

A Unified Approach for the Kinematic and Force Analysis of Simple Wire-Driven Platform Mechanisms

Published online by Cambridge University Press:  05 May 2011

Y. L. Lin*
Affiliation:
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
T. Liu*
Affiliation:
Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
*Graduate student
**Associate Professor
Get access

Abstract

In the analysis of simple wire-driven platform (SWDP) mechanisms, the tension and the posture of each wire can be formulated, and expressed in an integrated screw representation naturally. In this study, a unified approach for analyzing the kinematics and kinetics of SWDP mechanisms based on the screw theory is proposed and developed, which includes the screw-based Jacobian, the static and dynamic equilibrium of wires and platform, and the singularity analysis. Via using the unified screw-based approach, the investigation on the characteristics of SWDP mechanisms, therefore, can be more efficient and simplified. An example is presented to demonstrate this unified approach.

Type
Articles
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2004

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Garrett, W. B., “Suspension System for Supporting and Conveying Equipment, Such as a Camera,” United States Patent, No. 4625938 (1986).Google Scholar
2.Bostelman, R., Albus, J., Dagalakis, N. and Jacoff, A., “Application of the NIST ROBOCRANE,” Robotics and Manufacturing, 5 (1994).Google Scholar
3.Campbell, P. D., Swaim, P. L. and Thompson, C. J., “Charlotte Robot Technology for Space and Terrestrial Applications,” SAE Technical Series Paper 951520 (1993).Google Scholar
4.Duan, B. Y, “A New Design Project of the Line Feed Structure for Large Spherical Radio Telescope and Its Nonlinear Dynamic Analysis,” Mechanism, 1 (1999).Google Scholar
5.Su, Y. X., Duan, B. Y., Nan, R. D. and Peng, B., “Development of a Large Parallel-Cable Manipulator for the Feed-Supporting System of a Next-Generation Large Radio Telescope,” Journal of Robotic System, 18(11) (2001).CrossRefGoogle Scholar
6.Williams, R. L. II, “Cable-Suspended Haptic Interface,” InternationalJournal of Virtual Reality 1, 3(3), pp. 1321 (1998).CrossRefGoogle Scholar
7.Kawamura, S., Choe, W., Tanaka, S. and Pandian, S. R., “Development of an Ultrahigh Speed Robot FALCON Using Wire Driven System,” IEEE International Conference on Robotics and Automation (1995).Google Scholar
8.Morizono, T., Kurahashi, K. and Kawamura, S., “Realization of a Virtual Sports Training System with Parallel Wire Mechanism,” Proceedings of the 1997 IEEE International Conference on Robotics and Automation, Albuquerque, New Mexico (1997).Google Scholar
9.Ming, A. and Higuchi, T., “Study on Multiple Degree-of-Freedom Positioning Mechanism Using Wires (Part 1),” Int. J. Japan Soc. Prec. Eng., 28(2) (1994).Google Scholar
10.Ming, A. and Higuchi, T., “Study on Multiple Degree-of-Freedom Positioning Mechanism Using Wires (Part 2),” Int. J. Japan Soc. Prec. Eng., 28(3) (1994).Google Scholar
11.Ming, A., Kajitani, M. and Higuchi, T., “On the Design of Wire Parallel Mechanism,” Int. J. Japan Soc. Prec. Eng., 29(4) (1995).Google Scholar
12.Tsai, L.-W., Robot Analysis — The Mechanics of Serial and Parallel Manipulators, John Wiley and Sons, Inc. (1999).Google Scholar
13.Yuan, M. S. C., Freudenstein, F. and Woo, L. S., “Kinematic Analysis of Spatial Mechanisms by Means of Screw Coordinates, Part 1: Screw Coordinates,” ASMEJ. Eng. Ind., 93B(1), pp. 6166 (1971).CrossRefGoogle Scholar
14.Landesman, E. M. and Hestenes, M. R., Linear Algebra for Mathematics, Science, and Engineering, Prentice Hall (1992).Google Scholar