Active control of linear time-varying structures by confinement of vibrations

JVC/Journal of Vibration and Control

Volumn 11, Issue 1, 2005, Pages 89-102

  Choura, S ^a   Yigit, A S ^b  

^a Institut Préparatoire   (Tunisia)

^b KUWAIT UNIVERSITY   (Kuwait)

Author keywords

Active vibration control; Time varying stiffness matrix; Time varying systems; Vibration confinement

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FEEDBACK CONTROL; LYAPUNOV METHODS; MATRIX ALGEBRA; ROBUSTNESS (CONTROL SYSTEMS); STIFFNESS; TIME VARYING SYSTEMS;

ACTIVE VIBRATION CONTROL; N-DIMENSIONAL DISCRETIZED SYSTEMS; TIME-VARYING STIFFNESS MATRIX; VIBRATION CONFINEMENT;

VIBRATION CONTROL;

EID: 12344310546     PISSN: 10775463     EISSN: None     Source Type: Journal    
DOI: 10.1177/1077546305046616     Document Type: Article

References (23)

1. Alawadhi, E. M. and Amon, C. H., 2003, "PCM thermal control unit for portable electronic devices: experimental and numerical studies," IEEE Transactions on Components and Packaging Technologies 26 (1), 116-125.
2. Allaei, D., 1997, "Performance comparison between vibration control by confinement and conventional control techniques," in Proceedings of ASME 16th Biennial Conference on Mechanical Vibration and Noise, Sacramento, CA, September 14-17.
3. Allaei, D., 2000, "Vibration control by confinement of vibration energy," US Patent No. 6,032,552.
4. Allaei, D., 2002, "Apparatus and method for confinement and damping of vibration energy," US Patent No. 6,394,242.
5. Butcher, E. A. and Sinha, S. C., 1996, "A hybrid formulation for the analysis of time-periodic linear systems via Chebyshev polynomials," Journal of Sound and Vibration 195 (3), 518-527.
6. Choura, S., 1995, "Control of flexible structures with the confinement of vibrations," ASME Journal of Dynamic Systems, Measurement, and Control 117 (2), 155-164.
7. Choura, S. and Yigit, A. S., 2001, "Confinement and suppression of structural vibrations," Journal of Vibrations and Acoustics 123, 496-501.
8. Choura, S. and Yigit, A. S., 2002, "Control of structural vibrations by confinement in the presence of parameter uncertainties and disturbances," Journal of Vibration and Control 8, 575-594.
9. Christoforou, A. P. and Yigit, A. S., 1997, "Dynamic modeling of rotating drillstrings with borehole interactions," Journal of Sound and Vibration 206, 243-260.
10. Corr, L. R. and Clark, W. W., 1999, "Active and passive vibration confinement using piezoelectric transducers and dynamic vibration absorbers," Proceedings of SPIE, Smart Structures and Materials 3668, 747-758.
11. Deshmukh, V. and Sinha, S. C., 1999, "Order reduction and control of large-scale linear time-periodic dynamical systems," in Proceedings of the 17th ASME Biennial Conference on Mechanical Vibration and Noise, VIB-8320, Las Vegas, NV, September 12-16.
12. Kreyszig, E., 1999, Advanced Engineering Mathematics, Wiley, NY.
13. Nayfeh, T. A., Emaci, E., and Vakakis, A. F., 1997, "Application of nonlinear localization to the optimization of a vibration isolation system," AIAA Journal 35 (8), 1378-1386.
14. Shelley, F. J. and Clark, W. W., 1996, "Eigenvector scaling for mode localization in vibrating systems," Journal of Guidance, Control and Dynamics 19, 1342-1348.
15. Shelley, F. J. and Clark, W. W., 2000a, "Experimental application of feedback control to localize vibration," Journal of Vibration and Acoustics 122, 1143-1150.
16. Shelley, F. J. and Clark, W. W., 2000b, "Active mode localization in distributed parameter systems with consideration of limited actuator placement. Part I: theory. Part II: simulations and experiments," Journal of Vibration and Acoustics 122, 160-168.
17. Song, B. K. and Jayasuriya, S., 1993, "Active vibration control using eigenvector assignment for mode localization," in Proceedings of the 1993 American Control Conference, San Francisco, CA, June 2-4, pp. 1020-1024.
18. Tang, J. and Wang, K. W., 2001, "Vibration confinement via optimal eigenvector assignment and piezoelectric networks," in Proceedings of DETC 2001, ASME Design Engineering Technical Conference, Pittsburgh, PA, September 9-12.
19. Vakakis, A. F., 1994, "Passive spatial confinement of impulsive responses in coupled nonlinear beams," AIAA Journal 32, 1902-1910.
20. Vidyasagar, M., 1993, Nonlinear Systems Analysis, Prentice-Hall, Englewood Cliffs, NJ.
21. Yakubovich, V. A. and Starzhinskii, V. M., 1975, Linear Differential Equations with Periodic Coefficients, Vol. 1 and 2, Wiley, London.
22. Yigit, A. S., 1998, "On the relationship between active and passive methods of mode localization for vibration confinement," International Journal of Acoustics and Vibration 3, 65-73.
23. Yigit, A. S. and Choura, S., 1995, "Vibration confinement in flexible structures via alteration of mode shapes using feedback," Journal of Sound and Vibration 179, 553-567.