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Actively Tuned Noncollocated Vibration Absorption: An Unexplored Venue in Vibration Science and a Benchmark Problem

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We revisit actively tuned vibration absorbers in this article from several unconventional angles. First, the absorber exacts suppression at a designated location in the structure other than its point of… Click to show full abstract

We revisit actively tuned vibration absorbers in this article from several unconventional angles. First, the absorber exacts suppression at a designated location in the structure other than its point of attachment (thus, noncollocated suppression). Second, it is tunable to suppress all residual oscillations at that point against a harmonic excitation, thus overriding all modal characteristics. Furthermore, the tuning is achieved in real time, using a collocated control logic with a feedback gain and delay. Although this combination of vibration absorption characteristics can be achieved using various control designs, the well-studied delayed resonator (DR) concept is utilized in this article. Asymptotic stability of the ensuing dynamics is examined in the parametric space, and operable frequency limitations are explored. A paradoxical relationship is noted between the steady-state energy levels, which may occur for passive and actively tuned absorber cases. This phenomenon provides an intriguing benchmark problem. All of these contributions are clarified over a case study.

Keywords: actively tuned; vibration; vibration absorption; benchmark problem

Journal Title: IEEE Transactions on Control Systems Technology
Year Published: 2021

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