Optimization of performance of waveguides using the wave finite element method

Peter H. Broberg; Mikkel T. Steffensen; Sergey V. Sorokin; Lasse S. Ledet

Optimization of performance of waveguides using the wave finite element method

Peter H. Broberg, Mikkel T. Steffensen, Sergey V. Sorokin, Lasse S. Ledet

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

Abstract

A classical problem in the design of periodic waveguides is to get stop bands at desired frequencies. In this paper, the problem is addressed by use of optimization within the Wave Finite Element Method (WFEM). Typically, today optimization for stop bands is done using stochastic optimization due to the 'semi-discrete' behavior of the objective function. This method, in-line with previous work, is used as benchmark. This is compared to another method which handles the 'semi-discrete' behavior by a simple manipulation of the objective function into being continuous. This is a novel method that allows for fully gradient based optimization to be used. By comparing the continuous objective function with the benchmark method, it is found, that the continuous objective function outperforms the benchmark, in terms of computational speed and robustness.

Original language	English
Title of host publication	EURODYN 2020 - 11th International Conference on Structural Dynamics, Proceedings : Volume II
Editors	Manolis Papadrakakis, Michalis Fragiadakis, Costas Papadimitriou
Number of pages	11
Publisher	Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA)
Publication date	2020
Pages	2497-2507
ISBN (Electronic)	978-618850721-0
Publication status	Published - 2020
Event	11th International Conference on Structural Dynamics, EURODYN 2020 - Virtual, Athens, Greece Duration: 23 Nov 2020 → 26 Nov 2020

Conference

Conference	11th International Conference on Structural Dynamics, EURODYN 2020
Country/Territory	Greece
City	Virtual, Athens
Period	23/11/2020 → 26/11/2020

Series	Proceedings of the International Conference on Structural Dynamic , EURODYN
Volume	2
ISSN	2311-9020

Bibliographical note

Publisher Copyright:
© 2020 European Association for Structural Dynamics. All rights reserved.

Keywords

Optimization
Periodic structures
Stop bands
Wave propagation
WFEM

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Broberg, P. H., Steffensen, M. T., Sorokin, S. V., & Ledet, L. S. (2020). Optimization of performance of waveguides using the wave finite element method. In M. Papadrakakis, M. Fragiadakis, & C. Papadimitriou (Eds.), EURODYN 2020 - 11th International Conference on Structural Dynamics, Proceedings: Volume II (pp. 2497-2507). Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA). https://generalconferencefiles.s3-eu-west-1.amazonaws.com/eurodyn_2020_ebook_procedings_vol2.pdf

Broberg, Peter H. ; Steffensen, Mikkel T. ; Sorokin, Sergey V. et al. / Optimization of performance of waveguides using the wave finite element method. EURODYN 2020 - 11th International Conference on Structural Dynamics, Proceedings: Volume II. editor / Manolis Papadrakakis ; Michalis Fragiadakis ; Costas Papadimitriou. Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA), 2020. pp. 2497-2507 (Proceedings of the International Conference on Structural Dynamic , EURODYN, Vol. 2).

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title = "Optimization of performance of waveguides using the wave finite element method",

abstract = "A classical problem in the design of periodic waveguides is to get stop bands at desired frequencies. In this paper, the problem is addressed by use of optimization within the Wave Finite Element Method (WFEM). Typically, today optimization for stop bands is done using stochastic optimization due to the 'semi-discrete' behavior of the objective function. This method, in-line with previous work, is used as benchmark. This is compared to another method which handles the 'semi-discrete' behavior by a simple manipulation of the objective function into being continuous. This is a novel method that allows for fully gradient based optimization to be used. By comparing the continuous objective function with the benchmark method, it is found, that the continuous objective function outperforms the benchmark, in terms of computational speed and robustness.",

keywords = "Optimization, Periodic structures, Stop bands, Wave propagation, WFEM",

author = "Broberg, {Peter H.} and Steffensen, {Mikkel T.} and Sorokin, {Sergey V.} and Ledet, {Lasse S.}",

note = "Publisher Copyright: {\textcopyright} 2020 European Association for Structural Dynamics. All rights reserved.; 11th International Conference on Structural Dynamics, EURODYN 2020 ; Conference date: 23-11-2020 Through 26-11-2020",

year = "2020",

language = "English",

series = "Proceedings of the International Conference on Structural Dynamic , EURODYN",

publisher = "Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA)",

pages = "2497--2507",

editor = "Manolis Papadrakakis and Michalis Fragiadakis and Costas Papadimitriou",

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Broberg, PH, Steffensen, MT, Sorokin, SV & Ledet, LS 2020, Optimization of performance of waveguides using the wave finite element method. in M Papadrakakis, M Fragiadakis & C Papadimitriou (eds), EURODYN 2020 - 11th International Conference on Structural Dynamics, Proceedings: Volume II. Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA), Proceedings of the International Conference on Structural Dynamic , EURODYN, vol. 2, pp. 2497-2507, 11th International Conference on Structural Dynamics, EURODYN 2020, Virtual, Athens, Greece, 23/11/2020. <https://generalconferencefiles.s3-eu-west-1.amazonaws.com/eurodyn_2020_ebook_procedings_vol2.pdf>

Optimization of performance of waveguides using the wave finite element method. / Broberg, Peter H.; Steffensen, Mikkel T.; Sorokin, Sergey V. et al.
EURODYN 2020 - 11th International Conference on Structural Dynamics, Proceedings: Volume II. ed. / Manolis Papadrakakis; Michalis Fragiadakis; Costas Papadimitriou. Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA), 2020. p. 2497-2507 (Proceedings of the International Conference on Structural Dynamic , EURODYN, Vol. 2).

Research output: Contribution to book/anthology/report/conference proceeding › Article in proceeding › Research › peer-review

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AU - Steffensen, Mikkel T.

AU - Sorokin, Sergey V.

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N2 - A classical problem in the design of periodic waveguides is to get stop bands at desired frequencies. In this paper, the problem is addressed by use of optimization within the Wave Finite Element Method (WFEM). Typically, today optimization for stop bands is done using stochastic optimization due to the 'semi-discrete' behavior of the objective function. This method, in-line with previous work, is used as benchmark. This is compared to another method which handles the 'semi-discrete' behavior by a simple manipulation of the objective function into being continuous. This is a novel method that allows for fully gradient based optimization to be used. By comparing the continuous objective function with the benchmark method, it is found, that the continuous objective function outperforms the benchmark, in terms of computational speed and robustness.

AB - A classical problem in the design of periodic waveguides is to get stop bands at desired frequencies. In this paper, the problem is addressed by use of optimization within the Wave Finite Element Method (WFEM). Typically, today optimization for stop bands is done using stochastic optimization due to the 'semi-discrete' behavior of the objective function. This method, in-line with previous work, is used as benchmark. This is compared to another method which handles the 'semi-discrete' behavior by a simple manipulation of the objective function into being continuous. This is a novel method that allows for fully gradient based optimization to be used. By comparing the continuous objective function with the benchmark method, it is found, that the continuous objective function outperforms the benchmark, in terms of computational speed and robustness.

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KW - Periodic structures

KW - Stop bands

KW - Wave propagation

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M3 - Article in proceeding

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T3 - Proceedings of the International Conference on Structural Dynamic , EURODYN

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A2 - Papadrakakis, Manolis

A2 - Fragiadakis, Michalis

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T2 - 11th International Conference on Structural Dynamics, EURODYN 2020

Y2 - 23 November 2020 through 26 November 2020

ER -

Broberg PH, Steffensen MT, Sorokin SV, Ledet LS. Optimization of performance of waveguides using the wave finite element method. In Papadrakakis M, Fragiadakis M, Papadimitriou C, editors, EURODYN 2020 - 11th International Conference on Structural Dynamics, Proceedings: Volume II. Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA). 2020. p. 2497-2507. (Proceedings of the International Conference on Structural Dynamic , EURODYN, Vol. 2).

Optimization of performance of waveguides using the wave finite element method

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Bibliographical note

Keywords

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