Optimization of the individual stiffness and damping parameters in multiple-tuned-mass-damper systems

Journal of Vibration and Acoustics

Volumn 127, Issue 1, 2005, Pages 77-83

  Zuo, Lei ^a   Nayfeh, Samir A ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; GRADIENT METHODS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; STIFFNESS;

MULTIPLE TUNED-MASS-DAMPER SYSTEMS; PARAMETER OPTIMIZATION;

DAMPING;

EID: 18944389627     PISSN: 10489002     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1855929     Document Type: Article

References (24)

1. Den Hartog, J. P., 1947, Mechanical Vibration, McGraw-Hill, New York.
2. Sun, J. Q., Jolly, M. R., and Norris, M. A., 1995, "Passive, Adaptive and Active Tuned Vibration Absorbers - A Survey," ASME J. Mech. Des., 117, pp. 234-242.
3. 2 Optimization of Dynamic Vibration Absorber Attached to Damped Linear Systems," ASME J. Vibr. Acoust., 124(2), pp. 67-78.
4. Warburton, G. B., 1981, "Optimum Absorber Parameters for Minimizing Vibration Response," Earthquake Eng. Struct. Dyn., 9(3), pp. 251-262.
5. Kitis, L., Wang, B. P., and Pilkey, W. D., 1983, "Vibration Reduction Over a Frequency Range," J. Sound Vib., 89(4), pp. 559-569.
6. Zuo, L., and Nayfeh, S., 2002, "Design of Multi-Degree-of-Freedom Tuned-Mass Dampers: A Minimax Approach," Proc. 43rd AIAA/ASME /ASCE/ AHS/ ASC Structures, Structural Dynamics, and Materials Conference, AIAA 2002-1283.
7. Zuo, L., and Nayfeh, S., 2004, "Minimax Optimization of Multi-Degree-of-Freedom Tuned-Mass Dampers," J. Sound Vib., 272, pp. 893-908.
8. Zuo, L., 2002, "Optimal Control With Structure Constraints and Its Application to the Design of Passive Mechanical Systems," M.S. thesis, Massachusetts Institute of Technology, Cambridge, MA.
9. Zuo, L., and Nayfeh, S., 2003, "The Multi-Degree-of-Freedom Tuned-Mass Damper for Suppression of Single-Mode Vibration Under Random and Harmonic Excitation," Proc. of ASME 2003 Design Engineering Technical Conference, DETC2003/Vib48550, ASME, New York.
10. Xu, K., and Igusa, T., 1992, "Dynamic Characteristics of Multiple Substructures With Closely Spaced Frequencies," Earthquake Eng. Struct. Dyn., 21(12), pp. 1059-1070.
11. Yamaguchi, H., and Harnpornchai, N., 1993, "Fundamental Characteristics of Multiple Tuned Mass Dampers for Suppressing Harmonically Forced Oscillations," Earthquake Eng. Struct. Dyn., 22(1), pp. 51-62.
12. Abe, M., and Fujino, Y., 1994, "Dynamic Characterization of Multiple Tuned Mass Dampers and Some Design Formulas," Earthquake Eng. Struct. Dyn., 23(8), pp. 813-835.
13. Kareem, A., and Kline, S., 1995, "Performance of Multiple Mass Dampers Under Random Loading," J. Struct. Eng., 121(2), pp. 348-361.
14. Strasberg, M., and Feit, D., 1996, "Vibration Damping of Large Structures Induced by Attached Small Resonant Structures," J. Acoust. Soc. Am., 99(1), pp. 335-344.
15. Park, J., and Reed, D., 2001, "Analysis of Uniformly and Linearly Distributed Mass Dampers Under Harmonic and Earthquake Excitation," Eng. Struct., 23(7), pp. 802-814.
16. Igusa, T., and Xu, K., 1994, "Vibration Control Using Multiple Tuned Mass Dampers," J. Sound Vib., 175(4), pp. 491-503.
17. Joshi, A., and Jangid, R., 1997, "Optimum Parameters of Multiple Tuned Mass Dampers for Based-Excited Damped Systems," J. Sound Vib., 202 (5), pp. 657-667.
18. Jangid, R., 1999, "Optimum Multiple Tuned-Mass-Dampers for Based-Excited Undamped Systems," Earthquake Eng. Struct. Dyn., 28 (9), pp. 1041-1049.
19. Li, C., 2000, "Performance of Multiple Tuned Mass Dampers for Attenuating Undersirable Oscillations of the Structures Under the Ground Acceleration," Earthquake Eng. Struct. Dyn., 29(9), pp. 1405-1421.
20. Li, C., 2002, "Optimum Multiple Tuned-Mass-Dampers for Structures Under the Ground Acceleration Based on DDMF and ADMF," Earthquake Eng. Struct. Dyn., 31(4), pp. 897-919.
21. Zuo, L., and Nayfeh, S. A., 2002, "Design of Passive Mechanical Systems Via Decentralized Control Techniques," Proc. 43rd AIAA /ASME/ASCE/AHS/ ASC Structures, Structural Dynamics, and Materials Conference, AIAA 2002-1282.
22. Zhou, K., Doyle, J. C., and Glover, K., 1995, Robust and Optimal Control, Prentice-Hall, Englewood Cliffs, N.J.
23. Graham, A., 1981, Kronecker Products and Matrix Calculus: With Applications, Wiley, New York.
24. Bertsekas, D. P., 1995, Nonlinear Programming, Athena Scientific, Belmont, MA.