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Topology Optimization of Sound-Absorbing Materials for Two-Dimensional Acoustic Problems Using Isogeometric Boundary Element Method

Jintao Liu1, Juan Zhao1, Xiaowei Shen1,2,*

1 College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, 464000, China
2 College of Mechanics and Materials, Hohai University, Nanjing, 211100, China

* Corresponding Author: Xiaowei Shen. Email:

(This article belongs to this Special Issue: Recent Advance of the Isogeometric Boundary Element Method and its Applications)

Computer Modeling in Engineering & Sciences 2023, 134(2), 981-1003. https://doi.org/10.32604/cmes.2022.021641

Abstract

In this work, an acoustic topology optimization method for structural surface design covered by porous materials is proposed. The analysis of acoustic problems is performed using the isogeometric boundary element method. Taking the element density of porous materials as the design variable, the volume of porous materials as the constraint, and the minimum sound pressure or maximum scattered sound power as the design goal, the topology optimization is carried out by solid isotropic material with penalization (SIMP) method. To get a limpid 0–1 distribution, a smoothing Heaviside-like function is proposed. To obtain the gradient value of the objective function, a sensitivity analysis method based on the adjoint variable method (AVM) is proposed. To find the optimal solution, the optimization problems are solved by the method of moving asymptotes (MMA) based on gradient information. Numerical examples verify the effectiveness of the proposed topology optimization method in the optimization process of two-dimensional acoustic problems. Furthermore, the optimal distribution of sound-absorbing materials is highly frequency-dependent and usually needs to be performed within a frequency band.

Keywords

Liu, J., Zhao, J., Shen, X. (2023). Topology Optimization of Sound-Absorbing Materials for Two-Dimensional Acoustic Problems Using Isogeometric Boundary Element Method. CMES-Computer Modeling in Engineering & Sciences, 134(2), 981–1003.

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