Design optimization and performance comparison of three styles of one-dimensional acoustic black hole vibration absorbers

McCormick, Cameron A.; Shepherd, Micah R.

doi:10.1016/j.jsv.2019.115164

Cited by 47 publications

(21 citation statements)

References 46 publications

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“…The former comprise from placing a simple viscoelastic layer at the ABH tip [27,28], a constrained one [19], or to extend the ABH ending platform [29,30], among other options. More recently, optimization algorithms have been suggested to properly distribute the damping material or ABH profile to reduce vibration [31][32][33][34] and sound radiation [35].…”

Section: Introductionmentioning

confidence: 99%

Vibration of cylindrical shells with embedded annular acoustic black holes using the Rayleigh-Ritz method with Gaussian basis functions

Deng

Guasch

Maxit

et al. 2021

Mechanical Systems and Signal Processing

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The numerical simulation of beams and plates with embedded acoustic black holes (ABHs) is computationally demanding because of the very thin thickness attained at the ABH central area. Semi-analytical approaches relying on the Rayleigh-Ritz method with wavelet or Gaussian basis functions have thus revealed as an accurate and fast alternative to determine the ABH vibration field in parametric studies. To date however, the vast majority of works on ABHs have only dealt with ABH indentations on straight beams and flat plates. It would be also worth exploring the feasibility of ABHs to control the vibrations of curved shells, typically found in aerospace and naval structures. In this work, we address this issue and extend the Gaussian expansion method (GEM) to characterize annular ABHs embedded on cylindrical shells. First, we show how the GEM can be modified to make Gaussian shape functions satisfy periodic boundary conditions in the circumferential direction of the cylinder. The GEM is then used to determine the vibration field of the ABH cylindrical shell and gets validated by comparison with finite element simulations. A thorough analysis of the performance of the annular ABH follows, which stresses the differences with the behavior of ABHs on flat surfaces. In particular, we show the influence that waves propagating in the circumferential direction have on the operational frequency range of the ABH. The effects of the viscoelastic layer and the inclusion of longitudinal stiffeners to strengthen the cylinder rigidity are also analyzed by means of the proposed GEM approach. This work broadens previous semi-analytical methods to start investigating the ABH effect on curved structures.

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Section: Introductionmentioning

confidence: 99%

Vibration of cylindrical shells with embedded annular acoustic black holes using the Rayleigh-Ritz method with Gaussian basis functions

Deng

Guasch

Maxit

et al. 2021

Mechanical Systems and Signal Processing

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“…Experimental evidence of ABH effect using a variety of beam-like and plate-like structures are also numerous [6,[10][11][12][13]. Recent analytical advances for the exact solutions of ABHs in beam structures are shown in [14], and the numerical and experimental contributions that aims at optimizing the design of ABHs for vibration suppression have been discussed in [15][16][17][18][19] for various structures. In addition, applications of ABH to other areas, including elastic metastructures [20], energy harvesting [21], vibro-impact systems [22] and cochlear systems, have also been investigated.…”

Section: Introductionmentioning

confidence: 99%

Combining nonlinear vibration absorbers and the Acoustic Black Hole for passive broadband flexural vibration mitigation

Touzé

Pelat

et al. 2021

International Journal of Non-Linear Mechanics

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The Acoustic Black Hole (ABH) effect refers to a special vibration damping technique adapted to thin-walled structures such as beams or plates. It usually consists of a local decrease of the structure thickness profile, associated to a thin viscoelastic coating placed in the area of minimum thickness. It has been shown that such structural design acts as an efficient vibration damper in the high frequency range, but not at low frequencies. This paper investigates how different types of vibration absorbers, linear and nonlinear, added to the primary system can improve the low frequency performance of a beam ABH termination. In particular, the conjugated effects of the Acoustic Black Hole effect and a Tuned Mass Damper (TMD), a Nonlinear Energy Sink (NES), a bi-stable NES (BNES), and a vibro-impact ABH (VI-ABH) are investigated. Forced response to random excitation are computed in the time domain using a modal approach combined with an energy conserving numerical scheme. Frequency indicators are defined to characterize and compare the performance of all solutions. The simulation results clearly show that all the proposed methods are able to damp efficiently the flexural vibrations in a broadband manner. The optimal tuning of each proposed solution is then investigated through a thorough parametric study, showing how to optimize the efficiency of each solution. In particular, TMD and VI-ABH show a slight dependence on vibration amplitude, while the performance of NES and BNES have a peak of efficiency for moderate amplitudes.

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“…Based on different applications, the optimal designs on the ABH configurations and parameters have also been investigated in depth, see e.g. [19][20][21][22][23] for various structural applications.…”

Section: Introductionmentioning

confidence: 99%

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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Design optimization and performance comparison of three styles of one-dimensional acoustic black hole vibration absorbers

Cited by 47 publications

References 46 publications

Vibration of cylindrical shells with embedded annular acoustic black holes using the Rayleigh-Ritz method with Gaussian basis functions

Vibration of cylindrical shells with embedded annular acoustic black holes using the Rayleigh-Ritz method with Gaussian basis functions

Combining nonlinear vibration absorbers and the Acoustic Black Hole for passive broadband flexural vibration mitigation

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

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