TY - GEN
T1 - A semi-analytical method for the vibration of cylindrical shells with embedded acoustic black holes
AU - Deng, Jie
AU - Guasch, Oriol
AU - Maxit, Laurent
AU - Zheng, Ling
N1 - Publisher Copyright:
© INTER-NOISE 2021 .All right reserved.
PY - 2021
Y1 - 2021
N2 - Embedding acoustic black holes (ABHs) on beams and plates has revealed as an appealing passive method for noise and vibration reduction. However, most ABH designs to date have only concerned straight beams and flat plates, while cylindrical structures are commonly found in the aeronautical and naval sectors. Therefore, it is worth exploring how the ABH concept applies to them. In this work, we suggest a semi-analytical method to compute the vibration field of a cylinder with an annular ABH indentation, using Gaussian functions as basis in the framework of the Rayleigh-Ritz method. The displacements in the three directions are forced to satisfy continuous periodic conditions. The proposed Gaussian expansion method (GEM) for the cylindrical shell is validated against a detailed finite element (FEM) model, showing high precision at a low computational cost. After that, the mean square velocity of the ABH shell under a point external excitation is compared to that of a uniform shell, in the 50-1000 Hz frequency range. Noticeable vibration reduction is achieved.
AB - Embedding acoustic black holes (ABHs) on beams and plates has revealed as an appealing passive method for noise and vibration reduction. However, most ABH designs to date have only concerned straight beams and flat plates, while cylindrical structures are commonly found in the aeronautical and naval sectors. Therefore, it is worth exploring how the ABH concept applies to them. In this work, we suggest a semi-analytical method to compute the vibration field of a cylinder with an annular ABH indentation, using Gaussian functions as basis in the framework of the Rayleigh-Ritz method. The displacements in the three directions are forced to satisfy continuous periodic conditions. The proposed Gaussian expansion method (GEM) for the cylindrical shell is validated against a detailed finite element (FEM) model, showing high precision at a low computational cost. After that, the mean square velocity of the ABH shell under a point external excitation is compared to that of a uniform shell, in the 50-1000 Hz frequency range. Noticeable vibration reduction is achieved.
UR - http://www.scopus.com/inward/record.url?scp=85117405215&partnerID=8YFLogxK
U2 - 10.3397/IN-2021-1801
DO - 10.3397/IN-2021-1801
M3 - 会议稿件
AN - SCOPUS:85117405215
T3 - Proceedings of INTER-NOISE 2021 - 2021 International Congress and Exposition of Noise Control Engineering
BT - Proceedings of INTER-NOISE 2021 - 2021 International Congress and Exposition of Noise Control Engineering
A2 - Dare, Tyler
A2 - Bolton, Stuart
A2 - Davies, Patricia
A2 - Xue, Yutong
A2 - Ebbitt, Gordon
PB - The Institute of Noise Control Engineering of the USA, Inc.
T2 - 50th International Congress and Exposition of Noise Control Engineering, INTER-NOISE 2021
Y2 - 1 August 2021 through 5 August 2021
ER -