Longitudinal vibration modeling and control of a flexible transporter system with arbitrarily varying cable lengths

JVC/Journal of Vibration and Control

Volumn 11, Issue 3, 2005, Pages 431-456

  Zhang, Yuhong ^a   Agrawal, Sunil K ^a   Hagedorn, Peter ^b  

^a UNIVERSITY OF DELAWARE   (United States)

^b DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

Assumed mode method; Cable transporter system; Lyapunov controller; Varying cable length

Indexed keywords

CABLES; ELASTIC MODULI; HAMILTONIANS; LYAPUNOV METHODS; MATHEMATICAL MODELS; PARTIAL DIFFERENTIAL EQUATIONS; TORQUE;

ASSUMED MODE METHOD; CABLE TRANSPORTER SYSTEM; LYAPUNOV CONTROLLER; VARYING CABLE LENGTH;

VIBRATION CONTROL;

EID: 14844317389     PISSN: 10775463     EISSN: None     Source Type: Journal    
DOI: 10.1177/1077546305047988     Document Type: Article

References (17)

1. Barkow, B., Steindl, A., Troger, H., and Widdermann G., 2003, "Various methods of controlling the deployment of a tethered satellite," Journal of Vibration and Control 9(1), 187-208.
2. Fan, R., Singh, S. K., and Rahn, C. D., 2001, "Modal analysis of ballooning strings with small curvature," ASME Journal of Applied Mechanics 68, 332-338.
3. Fortune, J. W., 1995, "Mega high-rise elevators," Elevator World.
4. Fujii, H. and Tashiro, S., 1982, "On dynamics of satellite deploying a tether," in Proceedings of the 10th IMACS World Congress, Montreal, Canada, August.
5. Keshmiri, M., Misra, A. K., and Modi, V. J., 1995, "Control of multi-tethered system using Lyapunov's stability theory," Advances in the Astronomical Sciences 89 (2), 1161.
6. Kunn, A., Steiner, W., Zemann, J., Dinevski, D., and Troger, H., 1995, "Comparison of various mathematical formulation and numerical solution methods for the large amplitude oscillations of a string pendulum," Applied Mathematics and Computation 67 (1-3), 227.
7. Levy, D., Yadin, M., and Alexandrovitz, A., 1977, "Optimal control of elevators," International Journal of Systems Science 8 (3), 301-320.
8. Misra, A. K., Nixon, M. S., and Modi, V. J., 2001, "Nonlinear dynamics of two-body tethered satellite systems: Constant length case," Journal of the Astronautical Sciences 49 (2), 219-236.
9. Pepyne, D. L. and Cassandras, C. G., 1997, "Optimal dispatching control for elevator systems during peak traffic," IEEE Transactions on Control Systems Technology 5 (6), 629-643.
10. Pota, H. R., Agrawal, S. K., and Zhang Y. H., 2001, "A flatness based approach to trajectory modification of residual motion of high-rise elevators," in Proceedings of the American Control Conference, Arlington, VA, June 25-27, pp. 1587-1592.
11. Pota, H. R., Agrawal, S. K., and Zhang, Y. H., 2003, "Robust control of residual motion of cable transporter systems," in Proceedings of the American Control Conference, Denver, CO, June 4-6, pp. 1446-1451.
12. Roberts, R., 1998, "Control of high-rise/high-speed elevators," in Proceedings of the American Control Conference, Philadelphia, PA, June, pp. 3440-3444.
13. Spanos, P. D. and Chevallier, A. M., 2000, "Nonlinear stochastic drill-string vibrations," in Proceedings of the 8th ASCE Joint Specialty Conference on Probabilistic Mechanics and Structural Reliability, University of Notre Dame, IN, July, pp. 24-26.
14. Steen, K., 1999, "Vibrations of a taut cable with a external damper," Danish Center for Applied Mathematics and Mechanics Report No. 622, Technical University of Denmark, September.
15. Zhu, W. D. and Ni, J., 2000,"Energetics and stability of translating media with an arbitrarily varying length," Journal of Vibration and Acoustics 122, 295-304.
16. Zhu, W. D. and Ni, J., 2001, "Active control of translating media with arbitrarily varying length," Journal of Vibration and Acoustics 123, 347-358.
17. Zhang, Y. H., Agrawal, S. K., and Hagedorn, P., 2003, "Modeling and control of flexible transporter system with arbitrarily time-varying cable lengths," in ASME 2003 Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Chicago, IL, September 2-6.