Journal of the Korean Society for Precision Engineering (한국정밀공학회지)

Korean Society for Precision Engineering (한국정밀공학회)
권호 표지

Feedback Techniques for Minimizing Reaction Forces in Flexible Structures

유연 구조물에서 반력 최소화를 위한 피이드백 기술

  • 김주형 (국민대 자동차공학대학원) ;
  • 김상섭 (국민대 자동차공학대학원)
  • Published : 2001.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

A method for actively minimizing dynamic reaction forces in a flexible structure subject to persistent excitations is presented. One difficulty with the method, however, is that forces and moments do not converge as quickly as displacements in mathematical discretization of continuous systems, so a controller based on a truncated model of a continuous system can produce poor results. A technique using residual flexibility matrix is presented for correcting the truncated force representation. A controller designed for reaction force minimization, using the residual flexibility matrix, is applied to a model of a flexible structure, and the results are presented. Implications of various reaction force penalty combinations on the resulting control performance are also discussed.

Keywords

References

  1. Clark, W. W., Kim, J. H., and Marangoni, R. D., 1998, 'Using Residual Flexibility for Improved Observation of Reaction Forces in Flexible Structures,' Transactions of the ASME, Journal of Vibration and Acoustics, Vol. 120, No. 2, pp.401-408, April 1998
  2. Hanseen, O. E. and Bell, K., 'On the Accuracy of Mode Superposition Analysis in Structural Dynamics,' Earthquake Engineering and Structural Dynamics, Vol. 7, pp.405-411, 1979 https://doi.org/10.1002/eqe.4290070502
  3. Kwakernaak, H. and Sivan, R., Linear Optimal Control Systems, Wiley-Interscience, New York, 1972
  4. Petyt, M, Introduction to Finite Element Vibration Analysis, Cambridge Univ. Press, Boston, MA., 1990
  5. Stengel, R. F., Stochastic Optimal Control, John Wiley and Sons, New York, NY., 1986
  6. Sievers, L. A. and von Flotow, A. H., Comparison of Two LQG-Based Methods for Disturbance Rejection, Proceedings of the 28 IEEE conference on Decision and Control, Tampa, FL, pp.483-485 December, 1989 https://doi.org/10.1109/CDC.1989.70161
  7. Bong Wie and Marcelo Gonzalez, Control Synthesis for Flexible Space Structures Excited by Persistent Disturbance, Journal of Guidance, Control, and Dynamics, Vol. 15, No. 5, pp. 73-80, 1992
  8. Burdess, J. S. and Metcalfe, A. V., Active Control of Forced Harmonic Vibration in Finite Degree of Freedom Structures with Negligible Natural Damping, Journal of Sound and Vibration, Vol. 91, No. 3, pp.48-59, 1983 https://doi.org/10.1016/0022-460X(83)90291-2
  9. Meirovitch, L., Dynamics and Control Structures, John Wiley & Sons, New York, 1990