Propagation of flexural waves in inhomogeneous plates exhibiting hysteretic nonlinearity: Nonlinear acoustic black holes

Gusev, Vitalyi; Ni, Chao; Lomonosov, Alexey M.; Shen, Zhonghua

doi:10.1016/j.ultras.2015.04.006

Cited by 18 publications

(7 citation statements)

References 49 publications

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“…One tested option in this line is that of exploiting non-linearity to transfer energy from low to high frequencies, where the ABH becomes efficient. The effects of geometrical [33], material [34], and contact [35,36] non-linearity have been investigated and experiments have been recently reported in [37]. Using functionally graded [38] and composite [39] materials to build ABH plates has revealed also beneficial.…”

Section: Introductionmentioning

confidence: 99%

A metamaterial consisting of an acoustic black hole plate with local resonators for broadband vibration reduction

Deng

Guasch

Maxit

et al. 2022

Journal of Sound and Vibration

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Section: Introductionmentioning

confidence: 99%

A metamaterial consisting of an acoustic black hole plate with local resonators for broadband vibration reduction

Deng

Guasch

Maxit

et al. 2022

Journal of Sound and Vibration

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“…The combination of added linear and nonlinear dampers to an ABH beam is studied in [30], showing also important improvements toward broadband vibration mitigation. In related fields, other studies considered similar ideas and reported results, see for example the quadratic hysteretic nonlinearity characteristic of micro-inhomogeneous materials investigated in [31] for diminishing the wave speed, or the tuned mass-loaded membranes as vibro-impact attachments on a baseline structure in [32]. Nevertheless, all of these studies focus simply on the 1D beam case with a single type of nonlinearity.…”

Section: Introductionmentioning

confidence: 92%

Linear and nonlinear dynamics of a plate with acoustic black hole, geometric and contact nonlinearity for vibration mitigation

Touzé

Gautier

et al. 2021

Journal of Sound and Vibration

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A rectangular plate with a wedge profile creating an Acoustic Black Hole (ABH) termination is studied numerically. A particular emphasis is put on combining two different types of nonlinearity in order to improve the passive damping capacity of the ABH by transferring energy to the high-frequency range where it is more efficient. First, the addition of contact points to create a vibro-impact black hole (VI-ABH) is taken into account, following a previous study on beams. The contact nonlinearity allows for a rapid and efficient transfer of energy. Second, the large-amplitude vibrations of the plate in the ABH region where small thickness is reached, is also considered. The geometric nonlinearity is incorporated using a von Kármán plate model, and the regime of wave turbulence is shown to be triggered thus creating an energy flux from the low to the high frequencies. The linear characteristics of the ABH plate are first analyzed. Numerical results show the appearance of overdamped modes gathered in solution branches with constant number of half-waves in the transverse direction of the ABH, seen as a waveguide. The structure of the branches is shown to be more and more prominent when increasing the width of the plate, showing a transition from beam-like to full plate structure, with a fixed value for the fundamental cut-on frequency. The combination of both contact and geometric nonlinearities to improve the ABH effect is then reported. It is shown that the coexistence of both nonlinearities provides better passive damping efficacy.

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“…Despite these efforts, there has been clearly a lack of effort made on ABH structures in view of drawing benefit from intentional nonlinearities. There exist only a few published papers on the topic, among which Denis et al investigated the effects of the geometrical nonlinearities using a model based on a Von Karman plate [48], which suggest that possible geometrical nonlinearities inside the structures, due to the amplified large vibration amplitude with the high energy concentration area, are definitely present and affect the expected ABH effects [49]. Indeed, high amplitude vibration typically produces the coupling between the out-of-plane (flexural) and inplane (longitudinal) motion of the structure, which in principle can lead to energy transfer between different frequency ranges.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear features and energy transfer in an Acoustic Black Hole beam through intentional electromechanical coupling

Zhang

Kerschen

2022

Mechanical Systems and Signal Processing

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Propagation of flexural waves in inhomogeneous plates exhibiting hysteretic nonlinearity: Nonlinear acoustic black holes

Cited by 18 publications

References 49 publications

A metamaterial consisting of an acoustic black hole plate with local resonators for broadband vibration reduction

A metamaterial consisting of an acoustic black hole plate with local resonators for broadband vibration reduction

Linear and nonlinear dynamics of a plate with acoustic black hole, geometric and contact nonlinearity for vibration mitigation

Nonlinear features and energy transfer in an Acoustic Black Hole beam through intentional electromechanical coupling

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