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Technical Brief

Theoretical upper and lower bounds of the performance of an on-off damping dynamic vibration absorber attached to a Multi-Degree-of-Freedom System

[+] Author and Article Information
Viet, Duc La

Institute of Mechanics, Vietnam Academy of Science and Technology, 264 Doi Can, Hanoi, Vietnam; Graduate University of Science and Technology, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Hanoi, Vietnam
laviet80@yahoo.com

My Thi Tra Phan

Institute of Mechanics, Vietnam Academy of Science and Technology, 264 Doi Can, Hanoi, Vietnam; Graduate University of Science and Technology, Vietnam Academy of Science and Technology, 18 Hoang Quoc Viet, Hanoi, Vietnam
tramypt86@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4042278 History: Received April 03, 2018; Revised December 05, 2018

Abstract

This paper reveals the theoretical (upper and lower) bounds of the performance of an on-off damping vibration absorber attached to an undamped multi-degree-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 4-mass system is discussed.

Copyright (c) 2018 by ASME
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