TY - JOUR
T1 - Ring-shaped acoustic black holes for broadband vibration isolation in plates
AU - Deng, Jie
AU - Guasch, Oriol
AU - Zheng, Ling
N1 - Funding Information:
This work has been completed while the first author was performing a two-year PhD stay at La Salle, Universitat Ramon Llull, funded by the National Natural Science Foundation of China under Grant ( 51875061 ) and the China Scholarship Council (CSC No. 201806050075 ). The authors gratefully acknowledge this support as well as the in-kind assistance from La Salle, Universitat Ramon Llull, and the Chongquing University to make that collaboration possible. The second author would also like to thank l’Obra Social de la Caixa and the Universitat Ramon Llull for their support under grant 2018-URL-IR2nQ-031 . In addition, the authors acknowledge Pengyun Zeng, Hang Wu and Xu Chen for their help with some of the computations, as well as Dr. Marc Arnela for insightful discussions on the topic.
Publisher Copyright:
© 2019 Elsevier Ltd
PY - 2019/10/13
Y1 - 2019/10/13
N2 - Acoustic black holes (ABHs) in plates have shown great potential in a variety of applications that range from passive noise and vibration reduction, to energy harvesting thanks to localization, or to unusual flexural wave manipulation like lensing, or negative refraction and bi-refraction. The ABH effect can be typically achieved in plates by embedding regular arrays of circular cuneate indentations, with power-law profile. In this paper, we suggest new ring-shaped ABH designs that may be used for vibration isolation. Many common situations in the vibroacoustics of built-up structures involve wave propagation in plates excited at a small source area. This could be the case, for instance, of a beam/plate connection. It is herein proposed to surround the plate excitation region by means of ring-shaped ABHs to prevent the transmission of vibrations outside them. Several configurations of ABHs are tested, from concentric annular ABHs in different number and sizes to traditional circular ABHs in a ring arrangement. The inclusion of stiffeners to prevent excessive structural plate weakness due to the ABH indentations is also addressed. The performance of the ABH designs are analyzed by means of a semi-analytical approach that uses two-dimensional Gaussian functions to approximate the plate flexural displacement field, in the framework of the Rayleigh-Ritz method. The annular ABHs are shown to exhibit remarkable good isolation for the whole frequency range. An explanation is provided for their behavior.
AB - Acoustic black holes (ABHs) in plates have shown great potential in a variety of applications that range from passive noise and vibration reduction, to energy harvesting thanks to localization, or to unusual flexural wave manipulation like lensing, or negative refraction and bi-refraction. The ABH effect can be typically achieved in plates by embedding regular arrays of circular cuneate indentations, with power-law profile. In this paper, we suggest new ring-shaped ABH designs that may be used for vibration isolation. Many common situations in the vibroacoustics of built-up structures involve wave propagation in plates excited at a small source area. This could be the case, for instance, of a beam/plate connection. It is herein proposed to surround the plate excitation region by means of ring-shaped ABHs to prevent the transmission of vibrations outside them. Several configurations of ABHs are tested, from concentric annular ABHs in different number and sizes to traditional circular ABHs in a ring arrangement. The inclusion of stiffeners to prevent excessive structural plate weakness due to the ABH indentations is also addressed. The performance of the ABH designs are analyzed by means of a semi-analytical approach that uses two-dimensional Gaussian functions to approximate the plate flexural displacement field, in the framework of the Rayleigh-Ritz method. The annular ABHs are shown to exhibit remarkable good isolation for the whole frequency range. An explanation is provided for their behavior.
KW - Acoustic black hole (ABH)
KW - Annular ABH
KW - Retarding waveguides
KW - Ring-shaped ABH
KW - Vibration isolation
UR - http://www.scopus.com/inward/record.url?scp=85067867068&partnerID=8YFLogxK
U2 - 10.1016/j.jsv.2019.06.017
DO - 10.1016/j.jsv.2019.06.017
M3 - Article
AN - SCOPUS:85067867068
SN - 0022-460X
VL - 458
SP - 109
EP - 122
JO - Journal of Sound and Vibration
JF - Journal of Sound and Vibration
ER -