PGD-VTCR: A Reduced Order Model Technique to Solve Medium Frequency Broad Band Problems on Complex Acoustical Systems

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BARBARULO, Andrea ;RIOU, Hervé ;KOVALEVSKY, Louis ;LADEVEZE, Pierre .
PGD-VTCR: A Reduced Order Model Technique to Solve Medium Frequency Broad Band Problems on Complex Acoustical Systems. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 60, n.5, p. 307-313, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/pgd-vtcr-a-reduced-order-model-technique-to-solve-medium-frequency-broad-band-problems-on-complex-acoustical-systems/>. Date accessed: 11 apr. 2021. 
doi:http://dx.doi.org/10.5545/sv-jme.2014.1834.
Barbarulo, A., Riou, H., Kovalevsky, L., & Ladeveze, P.
(2014).
PGD-VTCR: A Reduced Order Model Technique to Solve Medium Frequency Broad Band Problems on Complex Acoustical Systems.
Strojniški vestnik - Journal of Mechanical Engineering, 60(5), 307-313.
doi:http://dx.doi.org/10.5545/sv-jme.2014.1834
@article{sv-jmesv-jme.2014.1834,
	author = {Andrea  Barbarulo and Hervé  Riou and Louis  Kovalevsky and Pierre  Ladeveze},
	title = {PGD-VTCR: A Reduced Order Model Technique to Solve Medium Frequency Broad Band Problems on Complex Acoustical Systems},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {60},
	number = {5},
	year = {2014},
	keywords = {Medium-frequency, Acoustics, Variational Theory of Complex Rays, Proper Generalized Decomposition, Model order reduction},
	abstract = {The calculation of vibrational responses of complex systems on frequency bands appears to be more and more important in engineering simulation. This is particularly true in the medium frequency regime where the solution is very sensitive to the frequency. In this work, we propose a new path to determine the frequency response of a system at many frequencies. It is based on the Variational Theory of Complex Rays (VTCR)[1], a mid frequency dedicated numerical strategy, and the Proper Generalized Decomposition (PGD) [2], a model order reduction technique. The VTCR enables one to model the problem thanks to the use of waves, and the PGD expands the VTCR approximation over the frequency band through a separated variable representation. This strategy is illustrated on a 2-D acoustic car cavity example.},
	issn = {0039-2480},	pages = {307-313},	doi = {10.5545/sv-jme.2014.1834},
	url = {https://www.sv-jme.eu/article/pgd-vtcr-a-reduced-order-model-technique-to-solve-medium-frequency-broad-band-problems-on-complex-acoustical-systems/}
}
Barbarulo, A.,Riou, H.,Kovalevsky, L.,Ladeveze, P.
2014 June 60. PGD-VTCR: A Reduced Order Model Technique to Solve Medium Frequency Broad Band Problems on Complex Acoustical Systems. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 60:5
%A Barbarulo, Andrea 
%A Riou, Hervé 
%A Kovalevsky, Louis 
%A Ladeveze, Pierre 
%D 2014
%T PGD-VTCR: A Reduced Order Model Technique to Solve Medium Frequency Broad Band Problems on Complex Acoustical Systems
%B 2014
%9 Medium-frequency, Acoustics, Variational Theory of Complex Rays, Proper Generalized Decomposition, Model order reduction
%! PGD-VTCR: A Reduced Order Model Technique to Solve Medium Frequency Broad Band Problems on Complex Acoustical Systems
%K Medium-frequency, Acoustics, Variational Theory of Complex Rays, Proper Generalized Decomposition, Model order reduction
%X The calculation of vibrational responses of complex systems on frequency bands appears to be more and more important in engineering simulation. This is particularly true in the medium frequency regime where the solution is very sensitive to the frequency. In this work, we propose a new path to determine the frequency response of a system at many frequencies. It is based on the Variational Theory of Complex Rays (VTCR)[1], a mid frequency dedicated numerical strategy, and the Proper Generalized Decomposition (PGD) [2], a model order reduction technique. The VTCR enables one to model the problem thanks to the use of waves, and the PGD expands the VTCR approximation over the frequency band through a separated variable representation. This strategy is illustrated on a 2-D acoustic car cavity example.
%U https://www.sv-jme.eu/article/pgd-vtcr-a-reduced-order-model-technique-to-solve-medium-frequency-broad-band-problems-on-complex-acoustical-systems/
%0 Journal Article
%R 10.5545/sv-jme.2014.1834
%& 307
%P 7
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 60
%N 5
%@ 0039-2480
%8 2018-06-28
%7 2018-06-28
Barbarulo, Andrea, Hervé  Riou, Louis  Kovalevsky, & Pierre  Ladeveze.
"PGD-VTCR: A Reduced Order Model Technique to Solve Medium Frequency Broad Band Problems on Complex Acoustical Systems." Strojniški vestnik - Journal of Mechanical Engineering [Online], 60.5 (2014): 307-313. Web.  11 Apr. 2021
TY  - JOUR
AU  - Barbarulo, Andrea 
AU  - Riou, Hervé 
AU  - Kovalevsky, Louis 
AU  - Ladeveze, Pierre 
PY  - 2014
TI  - PGD-VTCR: A Reduced Order Model Technique to Solve Medium Frequency Broad Band Problems on Complex Acoustical Systems
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2014.1834
KW  - Medium-frequency, Acoustics, Variational Theory of Complex Rays, Proper Generalized Decomposition, Model order reduction
N2  - The calculation of vibrational responses of complex systems on frequency bands appears to be more and more important in engineering simulation. This is particularly true in the medium frequency regime where the solution is very sensitive to the frequency. In this work, we propose a new path to determine the frequency response of a system at many frequencies. It is based on the Variational Theory of Complex Rays (VTCR)[1], a mid frequency dedicated numerical strategy, and the Proper Generalized Decomposition (PGD) [2], a model order reduction technique. The VTCR enables one to model the problem thanks to the use of waves, and the PGD expands the VTCR approximation over the frequency band through a separated variable representation. This strategy is illustrated on a 2-D acoustic car cavity example.
UR  - https://www.sv-jme.eu/article/pgd-vtcr-a-reduced-order-model-technique-to-solve-medium-frequency-broad-band-problems-on-complex-acoustical-systems/
@article{{sv-jme}{sv-jme.2014.1834},
	author = {Barbarulo, A., Riou, H., Kovalevsky, L., Ladeveze, P.},
	title = {PGD-VTCR: A Reduced Order Model Technique to Solve Medium Frequency Broad Band Problems on Complex Acoustical Systems},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {60},
	number = {5},
	year = {2014},
	doi = {10.5545/sv-jme.2014.1834},
	url = {https://www.sv-jme.eu/article/pgd-vtcr-a-reduced-order-model-technique-to-solve-medium-frequency-broad-band-problems-on-complex-acoustical-systems/}
}
TY  - JOUR
AU  - Barbarulo, Andrea 
AU  - Riou, Hervé 
AU  - Kovalevsky, Louis 
AU  - Ladeveze, Pierre 
PY  - 2018/06/28
TI  - PGD-VTCR: A Reduced Order Model Technique to Solve Medium Frequency Broad Band Problems on Complex Acoustical Systems
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 60, No 5 (2014): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2014.1834
KW  - Medium-frequency, Acoustics, Variational Theory of Complex Rays, Proper Generalized Decomposition, Model order reduction
N2  - The calculation of vibrational responses of complex systems on frequency bands appears to be more and more important in engineering simulation. This is particularly true in the medium frequency regime where the solution is very sensitive to the frequency. In this work, we propose a new path to determine the frequency response of a system at many frequencies. It is based on the Variational Theory of Complex Rays (VTCR)[1], a mid frequency dedicated numerical strategy, and the Proper Generalized Decomposition (PGD) [2], a model order reduction technique. The VTCR enables one to model the problem thanks to the use of waves, and the PGD expands the VTCR approximation over the frequency band through a separated variable representation. This strategy is illustrated on a 2-D acoustic car cavity example.
UR  - https://www.sv-jme.eu/article/pgd-vtcr-a-reduced-order-model-technique-to-solve-medium-frequency-broad-band-problems-on-complex-acoustical-systems/
Barbarulo, Andrea, Riou, Hervé, Kovalevsky, Louis, AND Ladeveze, Pierre.
"PGD-VTCR: A Reduced Order Model Technique to Solve Medium Frequency Broad Band Problems on Complex Acoustical Systems" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 60 Number 5 (28 June 2018)

Authors

Affiliations

  • LMT-Cachan ENS Cachan/CNRS/Paris 6 University, F-94230 Cachan, France 1
  • University of Cambridge, Engineering Department, Dynamic and Vibration Research Group, United Kingdom 2

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 60(2014)5, 307-313

https://doi.org/10.5545/sv-jme.2014.1834

The calculation of vibrational responses of complex systems on frequency bands appears to be more and more important in engineering simulation. This is particularly true in the medium frequency regime where the solution is very sensitive to the frequency. In this work, we propose a new path to determine the frequency response of a system at many frequencies. It is based on the Variational Theory of Complex Rays (VTCR)[1], a mid frequency dedicated numerical strategy, and the Proper Generalized Decomposition (PGD) [2], a model order reduction technique. The VTCR enables one to model the problem thanks to the use of waves, and the PGD expands the VTCR approximation over the frequency band through a separated variable representation. This strategy is illustrated on a 2-D acoustic car cavity example.

Medium-frequency, Acoustics, Variational Theory of Complex Rays, Proper Generalized Decomposition, Model order reduction