Optimal apparent damping as a function of the bandwidth of an array of vibration absorbers

Vignola, Joseph F.; Glean, Aldo A.; Judge, John A.; Ryan, Teresa J.

doi:10.1121/1.4812777

Cited by 9 publications

(11 citation statements)

References 20 publications

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“…Coherence then reoccurs, and energy transfer is again significant. We have shown (Vignola, Glean, Judge, & Ryan, 2013; Vignola et al, 2009) that energy is most rapidly transferred when the mass ratio,

μ \approx {normalΔ}^{2} / 4

. In systems with a linear distribution of the subordinate element isolated natural frequencies, the non‐dimensional coherence time,

τ

, is the time required for energy to move downscale, persist in the subordinate elements and then return to the primary structure, normalized to the period of one cycle of oscillation of the primary structure such that

τ \approx N / Δ

.…”

Section: Array‐based Sensormentioning

confidence: 88%

Time‐domain chemical vapour mass sensor using a functionalized subordinate array

Glean¹,

Sonne

Judge

et al. 2020

Med Devices & Sens

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This work describes a chemical vapour detection scheme based on observing changes in the time‐domain impulse response of a single structure to which an array of smaller cantilevers is attached. The distribution of properties of the cantilevers in the array is chosen to transfer vibration energy to the array and confine it there for a specified duration τ. Accumulation of added mass on the cantilevers changes the array properties, altering the duration for which energy is confined. When every second cantilever is functionalized to adsorb mass, a portion of the vibration energy returns to the primary structure in half the original time. The amount of added mass can be estimated by comparing the vibration energy in the primary structure to the total energy in the array at the return time τ/2. Numerical analysis is used to investigate the performance of the proposed detection scheme. It is shown that increasing the number of sensing elements reduces errors in mass predictions due to mass adsorption variability and increases mass sensitivity. However, reducing the number of sensing elements improves the signal‐to‐noise ratio. These opposing effects require consideration for a specific sensing application. Experimental results using a centimetre scale prototype demonstrate feasibility of this interferometric approach for MEMS‐scale implementation.

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μ \approx {normalΔ}^{2} / 4

. In systems with a linear distribution of the subordinate element isolated natural frequencies, the non‐dimensional coherence time,

τ

τ \approx N / Δ

.…”

Section: Array‐based Sensormentioning

confidence: 88%

Time‐domain chemical vapour mass sensor using a functionalized subordinate array

Glean¹,

Sonne

Judge

et al. 2020

Med Devices & Sens

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“…where Q SOA = Q n is the Quality Factor of the n th resonance, and the frequency separation between adjacent resonances is given by ∆/(N − 1). Modal overlap, η, is generally set to 2 when calculating the required number of oscillators [4]. Any value below two means that there is not enough modal density to properly create the desired effect.…”

Section: Modal Overlap Parameter ηmentioning

confidence: 99%

“…Fabrication errors or uncertainty can have detrimental effects on the realized performance of systems fabricated with a given design strategy. Philosophically, this robustness issue can be expressed in terms of the sensitivity of a design to error in the distributions of the oscillators [4,5].…”

Section: Introductionmentioning

confidence: 99%

Subordinate Oscillator Arrays: Physical Design and Effects of Error

Sterling,

Paruchuri,

Ryan

et al. 2020

Preprint

Self Cite

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Prior work demonstrates that an attached subordinate oscillator array (SOA) can attenuate vibration of a host structure over a frequency range of interest. A judicious choice of the distribution of masses and stiffnesses of the attached oscillators can result in a relatively flat frequency response of for the host structure over a desired band. This response modification can be a significant improvement over classical dynamic vibration absorbers (DVA) that attenuate a structure's response at one target frequency while increasing the frequency response amplitude at nearby side frequencies. Performance of the SOA can be highly sensitive to the uncertainty or disorder in the mechanical properties of the system. This paper introduces a novel design strategy that can make use of either 3D-printing or piezoelectric SOAs (PSOAs). These strategies have the potential to address and ameliorate such sensitivity to error. It is important to note that the design strategy is simple and effective in that it can be carried out without computational optimization techniques by choosing simple or well-known distributions of properties.

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“…Following the approach of Vignola et al [22], the overall impedance of the assembly is found by adding the single impedances of the main SDOF resonator and the N added oscillators:…”

Section: Theoretical Developmentmentioning

confidence: 99%

Modeling of Nonstructural Components in the Dynamic Behavior of Aeronautical Structures

Passieux

Lucchetti

Michon

2017

Journal of Aircraft

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This paper deals with the modeling of the dynamics of nonstructural components in aeronautical structures. It is shown how the overall response in the low to midfrequency is governed by a transfer of energy between the loadcarrying structure and the nonstructural components. The effect of these elements can be reproduced by using averaged point transfer functions. A numerical model defined in the frequency domain, capable of depicting such transmission and compatible with standard industrial finite element model, is presented together with an experimental validation.

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Optimal apparent damping as a function of the bandwidth of an array of vibration absorbers

Cited by 9 publications

References 20 publications

Time‐domain chemical vapour mass sensor using a functionalized subordinate array

Time‐domain chemical vapour mass sensor using a functionalized subordinate array

Subordinate Oscillator Arrays: Physical Design and Effects of Error

Modeling of Nonstructural Components in the Dynamic Behavior of Aeronautical Structures

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