A Bayesian approach for wavenumber identification of metamaterial beams possessing variability

Souza, Marcos; Beli, Danilo; Ferguson, N.S.; Arruda, José Roberto de França; Fabro, Adriano T.

doi:10.1016/j.ymssp.2019.106437

Cited by 18 publications

(4 citation statements)

References 49 publications

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“…Al Ba'ba'a et al [33] investigated the effects of uncertainty on the unit cell parameters of elastic metamaterial using the polynomial chaos expansion. A Bayesian approach for wavenumber identification was proposed by Souza et al [34] using experimental measurements in a elastic metamaterial produced from 3D printing. A derived analytical expression assuming an infinite number of identical resonators is used to estimate the material properties of the metastructure.…”

Section: Introductionmentioning

confidence: 99%

Wave and vibration analysis of elastic metamaterial and phononic crystal beams with slowly varying properties

et al. 2021

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Section: Introductionmentioning

confidence: 99%

Wave and vibration analysis of elastic metamaterial and phononic crystal beams with slowly varying properties

et al. 2021

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“…It was shown therein that the mistuned resonators could change the vibration attenuation performance of the metastructure when even small levels of variability exist. The system under consideration in [18] consisted of beams with evenly attached resonators, and the effects of the variability introduced by 3D printer manufacturing (Selective Laser Sintering) on locally resonant metastructures produced were examined. The authors combined a correlation technique for frequency response measurements and a Bayesian framework to estimate the design parameters (the mass ratio and the resonators' natural frequency) for vibration attenuation.…”

Section: Introductionmentioning

confidence: 99%

Metastructure with integrated internal oscillators of constant, linearly and nonlinearly varying natural frequency

et al. 2022

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This research focuses on the analysis of the model and performance of lightweight metastructures encompassing a distributed array of internal homogenous oscillators, integrated into the host structure to create a single-piece element. This metastructure performs longitudinal vibrations, whose axis is colinear with the direction of the transverse vibration of the internal oscillators. First, the mechanical models of the separate elements of the metastructure and the metastructure as a whole are created and considered. The first modal frequencies of longitudinal vibrations of the metastructure with blocked and free internal oscillators are tuned to the first modal frequency of transverse vibration of one internal oscillator, yielding the optimal number of internal oscillators for this to be achieved, which is a new result for the proposed design. This theoretical result is then checked experimentally with the metastructures produced by 3D printing technology, comprising a different number of internal oscillators, all of which have the same natural frequency. Besides validating the theoretical results, experimental investigations with blocked and freely vibrating internal oscillators of the constant natural frequency are used to explore other performance characteristics, such as the width of the regions where the reduced amplitude is achieved. Finally, based on the theoretical and additional numerical results, the internal oscillators are modified in two ways, which is an original approach: their natural frequency is increased linearly and nonlinearly along the metastructure in accordance with the previous new theoretical results. The benefits of such new redesigns for the multi-modal performance characteristics of the metastructure are discussed.

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“…It is based on a correlation between measurements in the form of transfer functions and a wave considering trial wavenumbers, where the maxima indicate the wavenumber values present in the response. It was used by Souza et al [9] to estimate the wavenumber of propagating waves in metamaterial beams and by El Masri et al [10] in reinforced concrete beams. A similar correlation-based method was also presented by Berthaut et al [11] where complex-valued trial wavenumbers were introduced along with directional flexibility and a scaling to restrict the correlation results to lie within the unity range.…”

Section: Introductionmentioning

confidence: 99%

Simulation and Experimental Estimation of the Free Wavenumbers for Helically Grooved Tubes

Bavaresco

Ferguson²,

Ibsen³

et al. 2022

Mechanisms and Machine Science

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The dynamic characterisation of elastic tubes is relevant to many fields in the industry. They are a key component for many processes involving fluid flow, heating, or cooling, etc., where grooves are frequently introduced to alter flow, and thus enhance heat transfer. Thin-walled tubes with helical features have been previously studied numerically and analytically, but experimental observation is still missing. In this paper, the wave propagation characteristics of a cylindrical tube with helicoidal grooves are investigated experimentally. The Wave Finite Element method is applied to a 3D model of this structure and a correlation method is used on a physical tube to experimentally observe the splitting of the degenerate dispersion branch into two. As opposed to a tube without grooves, both numerical and experimental methods show that the tubes with helicoidal grooves possess two distinctive but closely valued bending wave branches in the dispersion curves. The effect of the grooves is also visible in the mode shapes of the tubes of finite length, which will also be presented, where bending modes become unrestricted to lying in a single preferential direction.

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A Bayesian approach for wavenumber identification of metamaterial beams possessing variability

Cited by 18 publications

References 49 publications

Wave and vibration analysis of elastic metamaterial and phononic crystal beams with slowly varying properties

Wave and vibration analysis of elastic metamaterial and phononic crystal beams with slowly varying properties

Metastructure with integrated internal oscillators of constant, linearly and nonlinearly varying natural frequency

Simulation and Experimental Estimation of the Free Wavenumbers for Helically Grooved Tubes

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