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Robust Shape Optimization of Sound Barriers Based on Isogeometric Boundary Element Method and Polynomial Chaos Expansion
Xuhang Lin1, Haibo Chen1,*
1 CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of
Science and Technology of China, Hefei, 230026, China
* Corresponding Author: Haibo Chen. Email:
The International Conference on Computational & Experimental Engineering and Sciences 2023, 27(1), 1-1. https://doi.org/10.32604/icces.2023.09388
Abstract
As an important and useful tool for reducing noise, the sound barrier is of practical significance. The sound
barrier has different noise reduction effects for different sizes, shapes and properties of the sound absorbing
material. Liu et al. [1] have performed shape optimization of sound barriers by using isogeometric boundary
element method and method of moving asymptotes (MMA). However, in engineering practice, it is difficult
to determine some parameters accurately such as material properties, geometries, external loads.
Therefore, it is necessary to consider these uncertainty conditions in order to ensure the rationality of the
numerical calculation of engineering problems. In this study, based on isogeometric boundary element
method, a robust optimization design method for the shape optimization of the sound barrier is proposed.
The uncertainties of the wavenumber of the acoustic wave and the coefficient of the sound absorbing
material are considered. The uncertainty of the surface admittance of the sound absorbing material is
described by a random field, and the expansion optimal linear estimation (EOLE) method is used to
discretize it into a series of uncorrelated random variables. Meanwhile, the stochastic response of the
structure is calculated with the polynomial chaos expansion (PCE) method and isogeometric boundary
element method. The sensitivity of the stochastic response is also obtained by the PCE method. The weighted
sum of the mean and standard deviation of the stochastic response is set as the objective function for the
robust design optimization. Finally, the optimization problem is also solved by MMA. Numerical examples
show that the results of the proposed robust optimization method are more suitable in the situation whose
parameters of the material and load are uncertain than the results of the deterministic optimization.
Keywords
Cite This Article
APA Style
Lin, X., Chen, H. (2023). Robust shape optimization of sound barriers based on isogeometric boundary element method and polynomial chaos expansion. The International Conference on Computational & Experimental Engineering and Sciences, 27(1), 1-1. https://doi.org/10.32604/icces.2023.09388
Vancouver Style
Lin X, Chen H. Robust shape optimization of sound barriers based on isogeometric boundary element method and polynomial chaos expansion. Int Conf Comput Exp Eng Sciences . 2023;27(1):1-1 https://doi.org/10.32604/icces.2023.09388
IEEE Style
X. Lin and H. Chen, "Robust Shape Optimization of Sound Barriers Based on Isogeometric Boundary Element Method and Polynomial Chaos Expansion," Int. Conf. Comput. Exp. Eng. Sciences , vol. 27, no. 1, pp. 1-1. 2023. https://doi.org/10.32604/icces.2023.09388