This paper reveals the theoretical (upper and lower) bounds of the performance of an on-off damping vibration absorber attached to an undamped multi-degrees-of-freedom (MDOF) system under harmonic excitation. The solution reduces to the maximization or minimization problem of a simple single-variable function. Among the class of on-off damping controller, which switches the damping level from high to low and back at fixed times every half period, the revealed solutions produce the highest and lowest amplitude–frequency curves. These curves are the good theoretical benchmarks to measure how good or bad an on-off damping controller is. To demonstrate the usefulness of the theoretical bound solutions, two versions of power flow-driven controller are introduced to produce the amplitude–frequency curves tracing the lowest-amplitude curve. A case study of a four-mass system is discussed.
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June 2019
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Theoretical Upper and Lower Bounds of the Performance of an On-Off Damping Dynamic Vibration Absorber Attached to a Multi-Degree-of-Freedom System
La Duc Viet,
La Duc Viet
Institute of Mechanics,
Vietnam Academy of Science and Technology,
264 Doi Can,
Hanoi 10000, Vietnam;
Vietnam Academy of Science and Technology,
264 Doi Can,
Hanoi 10000, Vietnam;
Graduate University of Science and Technology,
Vietnam Academy of Science and Technology,
18 Hoang Quoc Viet,
Hanoi 10000, Vietnam
e-mails: laviet80@yahoo.com; ldviet@imech.vast.vn
Vietnam Academy of Science and Technology,
18 Hoang Quoc Viet,
Hanoi 10000, Vietnam
e-mails: laviet80@yahoo.com; ldviet@imech.vast.vn
Search for other works by this author on:
Phan Thi Tra My
Phan Thi Tra My
Institute of Mechanics,
Vietnam Academy of Science and Technology,
264 Doi Can,
Hanoi 10000, Vietnam;
Vietnam Academy of Science and Technology,
264 Doi Can,
Hanoi 10000, Vietnam;
Graduate University of Science and Technology,
Vietnam Academy of Science and Technology,
18 Hoang Quoc Viet,
Hanoi 10000, Vietnam
Vietnam Academy of Science and Technology,
18 Hoang Quoc Viet,
Hanoi 10000, Vietnam
Search for other works by this author on:
La Duc Viet
Institute of Mechanics,
Vietnam Academy of Science and Technology,
264 Doi Can,
Hanoi 10000, Vietnam;
Vietnam Academy of Science and Technology,
264 Doi Can,
Hanoi 10000, Vietnam;
Graduate University of Science and Technology,
Vietnam Academy of Science and Technology,
18 Hoang Quoc Viet,
Hanoi 10000, Vietnam
e-mails: laviet80@yahoo.com; ldviet@imech.vast.vn
Vietnam Academy of Science and Technology,
18 Hoang Quoc Viet,
Hanoi 10000, Vietnam
e-mails: laviet80@yahoo.com; ldviet@imech.vast.vn
Phan Thi Tra My
Institute of Mechanics,
Vietnam Academy of Science and Technology,
264 Doi Can,
Hanoi 10000, Vietnam;
Vietnam Academy of Science and Technology,
264 Doi Can,
Hanoi 10000, Vietnam;
Graduate University of Science and Technology,
Vietnam Academy of Science and Technology,
18 Hoang Quoc Viet,
Hanoi 10000, Vietnam
Vietnam Academy of Science and Technology,
18 Hoang Quoc Viet,
Hanoi 10000, Vietnam
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received April 3, 2018; final manuscript received December 5, 2018; published online January 31, 2019. Editor: I. Y. (Steve) Shen.
J. Vib. Acoust. Jun 2019, 141(3): 034501 (7 pages)
Published Online: January 31, 2019
Article history
Received:
April 3, 2018
Revised:
December 5, 2018
Citation
Viet, L. D., and Tra My, P. T. (January 31, 2019). "Theoretical Upper and Lower Bounds of the Performance of an On-Off Damping Dynamic Vibration Absorber Attached to a Multi-Degree-of-Freedom System." ASME. J. Vib. Acoust. June 2019; 141(3): 034501. https://doi.org/10.1115/1.4042278
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