Numerical simulation of passive–active cells with microperforated plates or porous veils
Abstract
The main goal of this work consists in the numerical simulation of a multichannel passive–active noise control system based on devices involving a particular kind of cell. Each cell consists of a parallelepipedic box with all their faces rigid, except one of them, where a porous veil or a rigid micro-perforated plate (MPP) is placed. Firstly, the frequency response of a single passive cell is computed, when it is surrounded by an unbounded air domain (an anechoic room) and harmonic excitations are imposed. For the numerical solution of this three-dimensional problem, the original unbounded domain is truncated by using exact perfectly matched layers (PML) and the resulting partial differential equation (PDE) is discretized with a standard finite element method. Secondly, the passive cells are transformed into active by assuming that the opposite face to the passive one may vibrate like a piston in order to reduce noise. The corresponding multichannel active control problem is stated and analyzed in the framework of the optimal control theory. A numerical method is proposed to assess and compare different control configurations.
Additional Information
© 2010 Elsevier. Received 29 June 2009; revised 26 January 2010; accepted 9 February 2010. Handling Editor: J. Lam. Available online 20 March 2010. The work of A. Bermúdez was partially supported by Ministerio de Educación y Ciencia of Spain under Grant MTM2008-02483 and Xunta de Galicia Grant 2006/98. The work of P. Gamallo was partially supported by Ministerio de Educación y Ciencia of Spain under Grants MTM2008-02483 and 18-08-463B-750, and by Xunta de Galicia under Grant PGIDIT07PXIB105257PR. The work of L. Hervella-Nieto was partially supported by Ministerio de Educación y Ciencia of Spain under Grants MTM2008-02483 and MTM2007-67596-C02-01 and by Xunta de Galicia under Grant PGIDIT07PXIB105257PR. The work of A. Prieto was partially supported by Ministerio de Educación y Ciencia of Spain under Grant MTM2008-02483 and by Xunta de Galicia under Grant PGIDIT07PXIB105257PR and program Angeles Alvariño 2007/AA-076.Additional details
- Eprint ID
- 18610
- Resolver ID
- CaltechAUTHORS:20100609-082201825
- MTM2008-02483
- Ministerio de Educacion y Ciencia of Spain
- 18-08-463B-750
- Ministerio de Educacion y Ciencia of Spain
- MTM2007-67596-C02-01
- Ministerio de Educacion y Ciencia of Spain
- 2006/98
- Xunta de Galicia
- PGIDIT07PXIB105257PR
- Xunta de Galicia
- 2007/AA-076
- Program Angeles Alvarino
- Created
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2010-06-09Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field