Design Considerations for Delayed-Resonator Vibration Absorbers
Publication: Journal of Engineering Mechanics
Volume 121, Issue 1
Abstract
This paper elaborates on a novel concept, the delayed resonator, as a tunable active vibration absorber, with an emphasis on the design features. This technique uses a control that has a time-delayed feedback of the absorber mass displacement. The substance of this process is in that the absorber completely removes oscillations from the harmonically excited primary structure. Seminal features of this method are the excitation frequency range can vary over a semi-infinite interval, and the absorber can be tuned in real time. These characteristics uniquely distinguish it from the other techniques. Stability issues of the primary system combined with the delayed resonator are addressed following Nyquist and root locus methods. In particular, the absorption performance for cases with time-varying excitation frequency is studied. An analysis of transient absorption behavior of the delayed resonator during the tuning phase is presented. An example case is taken that considers a step change in the excitation frequency. The superiority of the delayed-resonator absorber over the conventional a priori tuned absorbers is also demonstrated. The highlight of the paper is at the design aspect of this novel absorber. A selection template is proposed for the designer to achieve a desirable frequency-tuning property for the absorption. A set of simulation verifications is included in the text.
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References
1.
Abdel-Mooty, M., and Roorda, J.(1991). “Time delay compensation in active damping of structures.”J. Engrg. Mech., ASCE, 117(11), 2549–2570.
2.
Hertz, D., Jury, E. I., and Zeheb, E.(1984). “Simplified analytic stability test for systems with commensurate time delays.”IEE Proc. Part D, 131(1), 52–56.
3.
Inman, D. J. (1989). Vibration: With control, measurement and stability . Prentice-Hall, Englewood Cliffs, N.J.
4.
Inman, D. J. (1994). Engineering vibration . Prentice-Hall, Englewood, Cliffs, N.J.
5.
Kuo, B. C. (1982). Automatic control systems . 4th Ed., Prentice-Hall, Englewood Cliffs, N.J.
6.
Leipholz, H. H. E., and Abdel-Rohman, M. (1986). Control of structures . Martinus Nijhoff, Dordrecht, The Netherlands.
7.
Olgac, N., and Holm-Hansen, B. (1993). “Vibration absorbers utilizing only position measurements for time varying excitation frequencies.”Symp. on Mechatronics, American Society of Mechanical Engineers, New York, N.Y., DSC-Vol. 50, 223–230.
8.
Olgac, N., and Holm-Hansen, B.(1994). “A novel active, vibration absorption technique: Delayed resonator.”J. Sound and Vibration, 176(1), 93–104.
9.
Olgac, N., McFarland, D. M., and Holm-Hansen, B. (1992). “Position feedback-induced resonance: The delayed resonator.”ASME Winter Annual Meeting, American Society of Mechanical Engineers, New York, N.Y., DSC-Vol. 38, 113–119.
10.
Olgac, N., and Zhao, G.(1987). “A relative stability study on the dynamics of the turning mechanism.”J. Dyn. Systems, Measurement, and Control, 109, 164–170.
11.
Phillips, C. L., and Harbor, R. D. (1988). Feedback control systems . Prentice-Hall, Englewood Cliffs, N.J.
12.
Rodellar, J., Chung, L. L., Soong, T. T., and Reinhorn, A. M.(1989). “Experimental digital control of structures.”J. Engrg. Mech., ASCE, 115(6), 1245–1261.
13.
Satche, M. (1949). Discussion on “Stability of linear oscillating systems with constant time lag.”J. Appl. Mech., 16, 419–420.
14.
Seto, K. (1987). Vibration control in multi-degree-of-freedom system by dynamic absorbers, vibration control and active suppression . ASME Winter Annual Meeting, Am. Soc. of Mech. Engrs., New York, N.Y., DE-Vol. 42, 169.
15.
Soong, T. T. (1990). Active structural control: Theory and practice, John Wiley & Sons, New York, N.Y.
16.
Soong, T. T., Reinhorn, A. M,. Wang, Y. P., and Lin, R. C.(1991). “Full-scale implementation of active control. I: Design and simulation.”J. Struct. Engrg., ASCE, 117(11), 3516–3536.
17.
Thowsen, A.(1982). “Delay-independent asymptotic stability of linear systems.”IEE Proc. Part D, 129(3), 73–75.
18.
Yang, B. (1991). “Noncolocated control of a damped string using time delay.”Proc. American Control Conf., 3, American Society of Mechanical Engineers et al., New York, N.Y., 2445–2448.
19.
Yang, J. N., and Soong, T. T. (1988) “Recent advances in active control of civil engineering structures.”J. Prob. Engrg. Mech., 3(4), 179–188.
20.
Youcef-Toumi, J., and Bobbett, J.(1991). “Stability of uncertain linear systems with time delay.”J. Dyn. Systems, Measurement, and Control, 113(12), 558–567.
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Published In
Journal of Engineering Mechanics
Volume 121 • Issue 1 • January 1995
Pages: 80 - 89
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Jan 1, 1995
Published in print: Jan 1995
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