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Research Papers

Multi-channel Active Vibration Isolation for the Control of Underwater Sound Radiation From A Stiffened Cylindrical Structure: A Numerical Study

[+] Author and Article Information
Huang Xiuchang1

State Key Laboratory of Mechanical System and Vibration,  Shanghai Jiao Tong University, Shanghai 200240, People’s Republic of Chinaxchhuang@sjtu.edu.cn

Zhang Zhiyi, Zhang Zhenhua, Hua Hongxing

State Key Laboratory of Mechanical System and Vibration,  Shanghai Jiao Tong University, Shanghai 200240, People’s Republic of China

1

Corresponding author.

J. Vib. Acoust 134(1), 011012 (Dec 28, 2011) (12 pages) doi:10.1115/1.4004684 History: Received July 09, 2010; Revised May 24, 2011; Accepted June 01, 2011; Published December 28, 2011; Online December 28, 2011

Numerical simulation of vibration control of a submerged stiffened cylindrical structure with active vibration isolators is presented. Vibration transmission from vibrating machinery to the cylindrical structure through the active vibration isolators is analyzed by a numerical model synthesized from frequency response functions (FRFs) and impedances. The coupled finite element/boundary element (FE/BE) method is employed to study the vibro-acoustic behavior of the fluid-loaded cylindrical structure. Sound pressure in the far-field is calculated in terms of the pressure and normal acceleration of the outer surface of the cylindrical shell. An adaptive multichannel control based on the filtered-x least mean squares (FxLMS) algorithm is used in the active vibration isolation. Simulation results have demonstrated that suppression of vibration of the four elastic foundations attached to the cylindrical shell will reduce the spatial-average mean-square velocity and the instantaneous radiated power of the cylindrical shell. As a result, suppression of vibration of the foundations leads to attenuation of sound radiation in the far-field induced by the radial displacement dominant mode of the shell. Moreover, vibration suppression is greatly influenced by the strong couplings among control channels. According to these results, it can be concluded that the proposed method is effective in the analysis of underwater sound radiation control of cylindrical structures.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

An SMR system (a) uncoupled and (b) coupled

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Figure 2

Displacement and force vectors of substructures

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Figure 3

Sketch of fluid-structure interaction

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Figure 4

Adaptive control structure

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Figure 5

An SMR system including the internal plate-mount-immersed cylindrical structure

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Figure 6

Four typical modes of the SMR system (the water body is not shown)

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Figure 7

FRFs of the disturbance channels and control channels

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Figure 8

Acceleration responses at the first and foruth elastic foundations with/without adaptive control (at 28.0 Hz)

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Figure 9

Far-field pressure responses with/without adaptive control (at 28.0 Hz)

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Figure 10

Pressure responses with (red)/without (green) adaptive control in time domain (5.5 s after control, at 28.0 Hz)

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Figure 11

Spatial-average mean-square velocity responses with/without adaptive control (at 28.0 Hz)

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Figure 12

Instantaneous radiated power responses with/without adaptive control (at 28.0 Hz)

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Figure 13

Acceleration responses at the third and fourth elastic foundations with/without adaptive control (at 71.0 Hz)

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Figure 14

Pressure responses with/without adaptive control in time domain (8 s after control, at 71.0 Hz)

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