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TECHNICAL BRIEFS

Design of Vibration Absorbers for Step Motions and Step Disturbances

[+] Author and Article Information
Joel Fortgang, William Singhose

Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332

J. Mech. Des 127(1), 160-163 (Mar 02, 2005) (4 pages) doi:10.1115/1.1825441 History: Received November 04, 2003; Revised April 27, 2004; Online March 02, 2005
Copyright © 2005 by ASME
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References

Fortgang, Joel, and Singhose, William, 2001, “Design of Vibration Absorbers for Step Motions and Step Disturbances,” ASME 2001 DETC, Pittsburg, PA, ASME, New York.
Den Hartog, J. P., Mechanical Vibrations, 1985, Dover Publications, New York.
Hunt, J. B., 1979, Dynamic Vibration Absorbers, Mech. Eng. Publications LTD, London.
Korenev, Boris G., and Reznikov, Leonid M., 1993, Dynamic Vibration Absorbers: Theory and Technical Applications, Wiley, New York.
Sun,  J. Q., Jolly,  M. R., and Norris,  M. A., 1995, “Passive, Adaptive, and Active Tuned Vibration Absorbers—A Survey,” Trans. ASME, 117, pp. 234–242.
Nigam, N. C., and Narayanan, S., 1994, Applications of Random Vibrations, Springer-Verlag and Narosa Publishing House, New York.
Asami,  Toshihiko, Wakasono,  Toshimi, Kameoka,  Koichi, Hasegawa,  Motoyoshi, and Sekiguchi,  Hisayoshi, 1991, “Optimum Design of Dynamic Absorbers for a System Subjected to Random Excitation,” JSME Int. J., 34(2), pp. 218–226.
Bartel,  Donald L., and Krauter,  Allan I., 1971, “Time Domain Optimization of a Vibration Absorber,” J. Eng. Ind., 93(3), pp. 799–804.
Randall,  S. E., 1981, “Optimum Vibration Absorbers for Linear Damped Systems,” ASME J. Mech. Des., 103, pp. 908–913.
Snowdon, John C., 1968, Vibration and Shock in Damped Mechanical Systems, Wiley, New York.
Fortgang, Joel, and Singhose, William, 2001, “The Combined use of Input Shaping and Nonlinear Vibration Absorbers,” 5th IFAC Symposium on Nonlinear Control, Saint Petersburg, Russia, IFAC, New York.
Warburton,  E. O., and Ayorinde,  G. B., 1980, “Optimum Absorber Parameters for Simple Systems,” Earthquake Eng. Struct. Dyn., 8, pp. 197–217.
Shaw,  Jinsiang, Shaw,  Steven W., and Haddow,  Allan G., 1989, “On the Response of the Non-Linear Vibration Absorber,” Int. J. Non-Linear Mech., 24(4), pp. 281–293.
Nayfeh,  Char-Ming, Oueini,  Ali H., and Chin,  Shafic S., 1999, “Dynamics of a Cubic Nonlinear Vibration Absorber,” Nonlinear Dyn., 20, pp. 283–295.
Hsueh,  W.-J., 1998, “Analysis of Vibration Isolation Systems Using a Graph Model,” J. Sound Vib., 216(3), pp. 399–412.
Pennestri,  E., 1998, “An Application of Chebyshev’s Min-Max Criterion to the Optimal Design of a Damped Dynamic Vibration Absorber,” J. Sound Vib., 217(4), pp. 757–765.

Figures

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Comparison of settling time calculation
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Cost function mesh for simulation method
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Comparison of step response of system with and without simulated and eigenvalue absorber
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Possible absorbers and previously realized absorbers
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Percent improvement in settling time over a variety of primary systems
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Experimental results with and without vibration absorber

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