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[1] Ishizuka, T. & Fujiwara, K., Performance of noise barriers with various edge shapes and acoustical conditions. Applied Acoustics, 65, pp. 125–141, 2004. https://doi. org/10.1016/j.apacoust.2003.08.006
[2] Monazzam, M. & Lam, Y., Performance of profiled single noise barriers covered with quadratic residue diffusers. Applied Acoustics, 66, pp. 709–30, 2005. https://doi. org/10.1016/j.apacoust.2004.08.008
[3] Liu, C., Chen, L. & Zhao, W., Chen H. Shape optimization of sound barrier using an isogeometric fast multipole boundary element method in two dimensions. Engineering Analysis with Boundary Elements, 85, pp. 142–157, 2017. enganabound.2017.09.009 [Crossref]
[4] Chen, L., Liu, C., Zhao, W. & Liu, L., An isogeometric approach of two dimensional acoustic design sensitivity analysis and topology optimization analysis for absorbing material distribution. Computer Methods in Applied Mechanics and Engineering, 336, pp. 507–532, 2018. [Crossref]
[5] Chen, L., Lian, H., Liu, Z. & Chen, H., Atroshchenko, E. & Bordas, S.P.A., Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods. Computer Methods in Applied Mechanics and Engineering, 335, pp. 926–951, 2019. [Crossref]
[6] Chen, L., Lu, C., Lian, H., Liu, Z., Zhao, W., Li, S., Chen, H. & Bordas, S.P.A., Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods. Computer Methods in Applied Mechanics and Engineering, 362, 112806, 2020. [Crossref]
[7] Bandara, K., Cirak, F., Of, G., Steinbach, O. & Zapletal, J., Boundary element based multiresolution shape optimisation in electrostatics. Journal of Computational Physics, 297, pp. 584–598, 2015. [Crossref]
[8] Bandara, K., Rueberg, T. & Cirak, F., Shape optimisation with multiresolution subdivision surfaces and immersed finite elements. Computer Methods in Applied Mechanics and Engineering, 300, pp. 510–539, 2016. [Crossref]
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Open Access
Research article

Shape Optimization of Acoustic Barriers Based on Subdivision Surfaces BEM

Chuang Lu1,
Leilei Chen2,
Haibo Chen1
1
Department of Modern Mechanics, University of Science and Technology of China, CAS Key Laboratory of Mechanical Behavior and Design of Materials, P. R. China
2
College of Architecture and Civil Engineering, Xinyang Normal University, P. R. China
International Journal of Computational Methods and Experimental Measurements
|
Volume 9, Issue 2, 2021
|
Pages 108-116
Received: N/A,
Revised: N/A,
Accepted: N/A,
Available online: N/A
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Abstract:

This study presents a shape optimization approach for sound barrier using the isogeometric boundary element method based on subdivision surfaces. The geometry model is constructed through the subdivision scheme, and different control polygons/meshes describing the same curve/surface are used for geometry representation, boundary element analysis and optimization. The gradient-based optimization is implemented to minimize the sound pressure in the reference region. By subdivision coarsening treatment, the secondary processing improves the direct optimization results in reducing the oscillation of the optimized structure. The influence of different subdivision schemes on the obtained optimized configurations is studied in detail, which shows the potential of the secondary reverse processing for engineering prototype design.

Keywords: Boundary element method, Shape optimization, Subdivision surfaces
Data Availability

The data used to support the findings of this study are available from the corresponding author upon request.

Conflicts of Interest

The authors declare that they have no conflicts of interest.

References
[1] Ishizuka, T. & Fujiwara, K., Performance of noise barriers with various edge shapes and acoustical conditions. Applied Acoustics, 65, pp. 125–141, 2004. https://doi. org/10.1016/j.apacoust.2003.08.006
[2] Monazzam, M. & Lam, Y., Performance of profiled single noise barriers covered with quadratic residue diffusers. Applied Acoustics, 66, pp. 709–30, 2005. https://doi. org/10.1016/j.apacoust.2004.08.008
[3] Liu, C., Chen, L. & Zhao, W., Chen H. Shape optimization of sound barrier using an isogeometric fast multipole boundary element method in two dimensions. Engineering Analysis with Boundary Elements, 85, pp. 142–157, 2017. enganabound.2017.09.009 [Crossref]
[4] Chen, L., Liu, C., Zhao, W. & Liu, L., An isogeometric approach of two dimensional acoustic design sensitivity analysis and topology optimization analysis for absorbing material distribution. Computer Methods in Applied Mechanics and Engineering, 336, pp. 507–532, 2018. [Crossref]
[5] Chen, L., Lian, H., Liu, Z. & Chen, H., Atroshchenko, E. & Bordas, S.P.A., Structural shape optimization of three dimensional acoustic problems with isogeometric boundary element methods. Computer Methods in Applied Mechanics and Engineering, 335, pp. 926–951, 2019. [Crossref]
[6] Chen, L., Lu, C., Lian, H., Liu, Z., Zhao, W., Li, S., Chen, H. & Bordas, S.P.A., Acoustic topology optimization of sound absorbing materials directly from subdivision surfaces with isogeometric boundary element methods. Computer Methods in Applied Mechanics and Engineering, 362, 112806, 2020. [Crossref]
[7] Bandara, K., Cirak, F., Of, G., Steinbach, O. & Zapletal, J., Boundary element based multiresolution shape optimisation in electrostatics. Journal of Computational Physics, 297, pp. 584–598, 2015. [Crossref]
[8] Bandara, K., Rueberg, T. & Cirak, F., Shape optimisation with multiresolution subdivision surfaces and immersed finite elements. Computer Methods in Applied Mechanics and Engineering, 300, pp. 510–539, 2016. [Crossref]
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Lu, C., Chen, L. L., & Chen, H. B. (2021). Shape Optimization of Acoustic Barriers Based on Subdivision Surfaces BEM. Int. J. Comput. Methods Exp. Meas., 9(2), 108-116. https://doi.org/10.2495/CMEM-V9-N2-108-116
C. Lu, L. L. Chen, and H. B. Chen, "Shape Optimization of Acoustic Barriers Based on Subdivision Surfaces BEM," Int. J. Comput. Methods Exp. Meas., vol. 9, no. 2, pp. 108-116, 2021. https://doi.org/10.2495/CMEM-V9-N2-108-116
@research-article{Lu2021ShapeOO,
title={Shape Optimization of Acoustic Barriers Based on Subdivision Surfaces BEM},
author={Chuang Lu and Leilei Chen and Haibo Chen},
journal={International Journal of Computational Methods and Experimental Measurements},
year={2021},
page={108-116},
doi={https://doi.org/10.2495/CMEM-V9-N2-108-116}
}
Chuang Lu, et al. "Shape Optimization of Acoustic Barriers Based on Subdivision Surfaces BEM." International Journal of Computational Methods and Experimental Measurements, v 9, pp 108-116. doi: https://doi.org/10.2495/CMEM-V9-N2-108-116
Chuang Lu, Leilei Chen and Haibo Chen. "Shape Optimization of Acoustic Barriers Based on Subdivision Surfaces BEM." International Journal of Computational Methods and Experimental Measurements, 9, (2021): 108-116. doi: https://doi.org/10.2495/CMEM-V9-N2-108-116
LU C， CHEN L L， CHEN H B. Shape Optimization of Acoustic Barriers Based on Subdivision Surfaces BEM[J]. International Journal of Computational Methods and Experimental Measurements， 2021， 9(2)： 108-116. https://doi.org/10.2495/CMEM-V9-N2-108-116