Cover
Vol. 8 No. 1 (2008)

Published: June 30, 2008

Pages: 90-108

Original Article

Frequency Analysis of Articulated Robot

Abstract

This paper presents a comprehensive frequency analysis of articulated robot. The purpose of a frequency response analysis is to compute the behavior of a articulated robot subjected to time-varying excitation. The transient excitation is explicitly defined in the time domain. The force applied to the structure is known at cach instant in time. Forces can be in the form of applied forces or enforced motions. The important results obtained from the frequency analysis are typically displacements, velocities, accelerations, eigenvalues, eigenvectors, and mode shapes of the robot nodes. Depending upon the structure and the nature of the loading, two different methods are used for the frequency response analysis direct and modal. The direct method performs an analytical analysis on the complete coupled equations of motion. The modal method utilizes the mode shapes of the robot to reduce and uncouple the equations of motion (when modal method is used); the solution is then obtained through the summation of the individual modal responses.

References

  1. M. Batalin, G. Sukhatme, and M. Hattig, "Mobile robot navigation using a sensor network," in Proc. IEEE International Conference on Robotics and Automation, New Orleans, Louisiana, April 2004, pp.636-642.
  2. M. Batalin and G. Sukhatme, "Using a sensor network for distributed multi-robot task allocation," in Proc. IEEE International Conference on Robotics and Automation, New Orleans, Louisiana, April 2004, pp. 158-164.
  3. D. W. Gage, "Command control for many-robot systems," in the Nineteenth Annual AUVS Technical Symposium, Huntsville, Alabama, USA, 1992, pp. 22-24.
  4. M. Batalin and G. Sukhatme, "Sensor network-based multi- robot task allocation," in Proc. JEEE/RSJ International Conference on Intelligent Robots and Systems, Las Vegas, Nevada, October 2003, pp. 1939-1944.
  5. J. O'Rourke, Art Gallery Theorems and Algorithms.NewYork: Oxford University Press, 1987.
  6. A. Howard, M. J. Mataric, and G. S. Sukhatme, "Mobile sensor network deployment using potential fields: A distributed, scalable solution to the area coverage problem," in Proc. of 6th International Symposium on Distributed Autonomous Robotic Systerns, Fukuoka, Japan, 2002, pp. 299-308.
  7. M. A. Batalin and G. S. Sukhatme, "Spreading out: A local approach: to multi-robot coverage," in Proc. of 6th International Symposium on Distributed Autonomous Robotic Systems, Fukuoka, Japan, 2002,pp. 373-382.
  8. Whittaker, W. L., Urmson, C., Staritz, P., Kennedy, B., and Ambrose, R. (2000). Robotics for assembly, inspection, and maintenance of space macro facilities. In AIAA Space 2000 Conference and Exposition. AlAA.
  9. B. Yamauchi, "Frontier-based approach for autonomous exploration," in In Proceedings of the IEEE International Symposium on Computational Intelligence, Robotics and Automation, 1997, pp.146-151.
  10. Warburton G. B., TheDynamical behavior of structure, 2nd Edn, Oxford Pergmon Press, (1976)
  11. WilliamT. homson, Vibration theory and application, USA, pp297,1969.
  12. G. Dudek, M. Jenkin, E. Milios, and D. Wilkes, "Robotic explorations graph construction," in IEEE Transactions on Robotics and Automation, 7-6, 1991.
  13. Cortes F. and M.J. Elejbarrieta, An approximate numerical method for the complex eigenproblem in systems characterized by structural damping matrix, Journal of sound and vibration, Elsevier B.V,1989
  14. M. A. Bender, A. Fernandez, D. Ron, A. Sahai, and S. Vadhan, "The power of a pebble: Exploring and mapping directed graphs," in Annual ACM Symposium on Theory of Computing (STOC '98), 1998.
  15. Advanced strength and applied stress analysis by Richard Budynas, McGraw-Hill, 1998
  16. R. T. Vaughan, K. Stoy, G. S. Sukhatme, and M. J. Matari'c, "Lost: Localization-space trails for robot teams," IEEE Transactions on Robotics and Automation, Special Issue on Multi-Robot Systems, vol. 18, no. 5, pp. 796-812, Oct 2002.
  17. S. Koenig, B. Szymanski, and Y. Liu, efficient and Inefficient Ant Coverage Methods. Annals of Mathematics and Artificial Intelligence, 31, 41- 76, 2001.