Flexural wave concentration in tapered cylindrical beams and wedge-like rectangular beams with power-law thickness

Zeng, Pengyun; Zheng, Ling; Deng, Jie; Elsabbagh, Adel; Xiang, Shuguang; Yan, Tie; Wu, Yueyan

doi:10.1016/j.jsv.2019.04.002

Cited by 40 publications

(7 citation statements)

References 16 publications

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“…Acoustic black holes (ABHs) have drawn increasing attention in the past decade as a passive, lightweight and highly-efficient method for vibration [1][2][3][4][5] and noise [6][7][8] control, energy harvesting [9,10] or focusing [11,12], and wave manipulation [13][14][15]. With the possible exception of the Archimedean spiral ABH for beams that was investigated numerically in [16] and experimentally in [17], almost all works to date have dealt with ABH indentations on straight beams [18,19] and flat plates [20][21][22].…”

Section: Introductionmentioning

confidence: 99%

“…In addition, a large amount of work has been performed in the framework of the Rayleigh-Ritz method: from initial attempts using trigonometric basis functions [44] to more recent wavelet proposals for straight beams [18,19] and flat plates [20,21]. Tested shape functions include Mexican hat wavelets [18], Daubechies scaling functions [20], Morlet wavelets [12] and Gaussian functions. The use of Gaussian basis functions in the Rayleigh-Ritz method will be hereafter referred to as the Gaussian expansion method (GEM) and was applied to beams and plates in [19,21,22].…”

Section: Introductionmentioning

confidence: 99%

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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%

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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“…考虑到声学黑洞结构端部的波数及波长的快速变化, 一般使用小波函数 [7] , 主要原因在于小波函数非常适用于拟合幂律剖面的非均匀梁. 通过在小波函数的基础上展开梁的横向位移场, 将运动方程转化为一组线性方程组, 求解该方程组可以模拟结构的自由和受迫响应, 这种半解析模型在具有矩形横截面的经典欧拉-伯努利声学黑洞梁 [8] 、具有圆形横截面的经典欧拉-伯努利声学黑洞梁 [9] 和具有铝芯和钢上/下层的夹层梁 [10] 的情况下得到了很好的验证. 之后的研究表明, 由于瑞利-里兹法中使用高斯基函数 [11] 比小波分解更加适合描述声学黑洞区域的位移场, 因此高斯展开法也可用于求解声学黑洞梁 [11] 、板 [12] 以及壳 [13] 的动力响应.…”

Section: 声学黑洞研究方法unclassified

Progress and applications of acoustic black holes

et al. 2021

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“…There, energy can be dissipated by means of different configurations of viscoleastic damping layers [8][9][10]. The ABH effect has proved to be a very efficient method to reduce flexural vibrations (see e.g., [11][12][13][14][15][16]) and noise radiation [17][18][19][20] in beams and plates. Furthermore, arrays of ABHs have shown amazing properties for wave manipulation in plates [21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Transmission loss of plates with multiple embedded acoustic black holes using statistical modal energy distribution analysis

Deng

Guasch

Maxit³

et al. 2021

Mechanical Systems and Signal Processing

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Acoustic black holes (ABHs) in beams and plates have been extensively studied as a passive method for vibration attenuation and noise reduction. However, most research to date has focused on analyzing the behavior of a single ABH structural element, using numerical or semi-analytical deterministic approaches. If ABHs are to be exploited for practical industrial applications, there is a need to characterize their performance in complex built-up structures and to describe them with statistical methods in the mid-high frequency range. This paper presents a first step towards this goal by employing statistical modal energy distribution analysis (SmEdA) to evaluate the transmission loss of ABH panels separating two air cavities. SmEdA splits vibroacoustic systems into subsystems and establishes power balance equations between the modes belonging to different subsystems. This avoids the energy equipartition assumption of traditional statistical energy analysis (SEA) and extends it to low modal overlap systems. In this work, the benefits of embedding ABHs on plates for noise reduction between cavities are predicted with SmEdA. The role played by the size, shape and number of ABH indentations on the plate are inspected, as well as the influence of other parameters like the truncation thickness, ABH order and damping. The effects of added mass and stiffness of the damping layer are investigated and it is observed that, with proper design, ABH plates can exhibit substantial transmission loss improvement in the vicinity of the critical frequency of uniform plates. Both resonant and non-resonant transmission are considered in the analysis.

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Flexural wave concentration in tapered cylindrical beams and wedge-like rectangular beams with power-law thickness

Cited by 40 publications

References 16 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

Progress and applications of acoustic black holes

Transmission loss of plates with multiple embedded acoustic black holes using statistical modal energy distribution analysis

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