Open Access

ARTICLE

A Subdivision-Based Combined Shape and Topology Optimization in Acoustics

Chuang Lu¹, Leilei Chen^2,3, Jinling Luo⁴, Haibo Chen^1,*

1 CAS Key Laboratory of Mechanical Behavior and Design of Materials, Department of Modern Mechanics, University of Science and Technology of China, Hefei, 230027, China
2 College of Intelligent Construction, Wuchang University of Technology, Wuhan, 430223, China
3 Henan International Joint Laboratory of Structural Mechanics and Computational Simulation, School of Architecture and Engineering, Huanghuai University, Zhumadian, 463000, China
4 Beijing Aerospace Technology Institute, Beijing, 100074, China

* Corresponding Author: Haibo Chen. Email:

(This article belongs to the Special Issue: Structural Design and Optimization)

Computer Modeling in Engineering & Sciences 2024, 139(1), 847-872. https://doi.org/10.32604/cmes.2023.044446

Received 31 July 2023; Accepted 18 September 2023; Issue published 30 December 2023

Abstract

We propose a combined shape and topology optimization approach in this research for 3D acoustics by using the isogeometric boundary element method with subdivision surfaces. The existing structural optimization methods mainly contain shape and topology schemes, with the former changing the surface geometric profile of the structure and the latter changing the material distribution topology or hole topology of the structure. In the present acoustic performance optimization, the coordinates of the control points in the subdivision surfaces fine mesh are selected as the shape design parameters of the structure, the artificial density of the sound absorbing material covered on the structure surface is set as the topology design parameter, and the combined topology and shape optimization approach is established through the sound field analysis of the subdivision surfaces boundary element method as a bridge. The topology and shape sensitivities of the approach are calculated using the adjoint variable method, which ensures the efficiency of the optimization. The geometric jaggedness and material distribution discontinuities that appear in the optimization process are overcome to a certain degree by the multiresolution method and solid isotropic material with penalization. Numerical examples are given to validate the effectiveness of the presented optimization approach.

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Keywords

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