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Active control of the transmission of sound through a thin cylindrical shell: Part II: The minimization of acoustic potential energy

Active control of the transmission of sound through a thin cylindrical shell: Part II: The minimization of acoustic potential energy
Active control of the transmission of sound through a thin cylindrical shell: Part II: The minimization of acoustic potential energy

By using the model of an aircraft fuselage discussed in Part I, an analysis is presented which demonstrates that the total acoustic potential energy (Ep) within the cylindrical model is minimized by a unique vector of secondary force inputs. Similar analysis is used to derive an expression for the optimum vector of secondary forces that minimize the sum of the squared pressures at a number of microphone positions (Jp) within the fuselage model. These results are used as the basis of computer simulations in which Ep and Jp are minimized at 88 Hz and 176 Hz. It is shown that large global reductions in the acoustic energy within the cylinder model can be obtained by using very few secondary forces. This is achieved, however, at the cost of increasing the vibrational energy in the cylinder.

0022-460X
113-128
Thomas, D. R.
3191534a-f82a-425e-9a07-08c5e6a38637
Nelson, P. A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Elliott, S. J.
721dc55c-8c3e-4895-b9c4-82f62abd3567
Thomas, D. R.
3191534a-f82a-425e-9a07-08c5e6a38637
Nelson, P. A.
5c6f5cc9-ea52-4fe2-9edf-05d696b0c1a9
Elliott, S. J.
721dc55c-8c3e-4895-b9c4-82f62abd3567

Thomas, D. R., Nelson, P. A. and Elliott, S. J. (1993) Active control of the transmission of sound through a thin cylindrical shell: Part II: The minimization of acoustic potential energy. Journal of Sound and Vibration, 167 (1), 113-128. (doi:10.1006/jsvi.1993.1324).

Record type: Article

Abstract

By using the model of an aircraft fuselage discussed in Part I, an analysis is presented which demonstrates that the total acoustic potential energy (Ep) within the cylindrical model is minimized by a unique vector of secondary force inputs. Similar analysis is used to derive an expression for the optimum vector of secondary forces that minimize the sum of the squared pressures at a number of microphone positions (Jp) within the fuselage model. These results are used as the basis of computer simulations in which Ep and Jp are minimized at 88 Hz and 176 Hz. It is shown that large global reductions in the acoustic energy within the cylinder model can be obtained by using very few secondary forces. This is achieved, however, at the cost of increasing the vibrational energy in the cylinder.

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Published date: 8 October 1993

Identifiers

Local EPrints ID: 468802
URI: http://eprints.soton.ac.uk/id/eprint/468802
ISSN: 0022-460X
PURE UUID: cfbec6e7-75c7-409b-ad97-5579d0973285
ORCID for P. A. Nelson: ORCID iD orcid.org/0000-0002-9563-3235

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Date deposited: 25 Aug 2022 17:22
Last modified: 17 Mar 2024 02:32

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Contributors

Author: D. R. Thomas
Author: P. A. Nelson ORCID iD
Author: S. J. Elliott

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