Bi-material topology optimization for fully coupled structural-acoustic systems with isogeometric FEM–BEM

Chen, L.L.; Lian, Haojie; Liu, Zhaowei; Gong, Yanpeng; Zheng, Changjun; Bordas, Stéphane

doi:10.1016/j.enganabound.2021.11.005

Cited by 53 publications

(20 citation statements)

References 55 publications

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“…On Equation 8, the application of an iterative solution (e.g., generalized minimum residual approach (GMRES)) results in unsatisfactory convergence. Substituting the finite element formulation into the boundary element equation to obtain a simplified system equation is an appropriate strategy [51]; [44,56,57], as shown in Equation 9:…”

Section: Subdivision Surfacesmentioning

confidence: 99%

Sensitivity analysis of structural-acoustic fully-coupled system using isogeometric boundary element method

Chen

Xu²,

Zhao³

et al. 2022

Front. Phys.

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In many engineering challenges, the whole interaction between the structural domain and the acoustic domain must be taken into account, particularly for the acoustic analysis of thin structures submerged in water. The fast multipole boundary element approach is used in this work to simulate the external acoustic domain and the finite element method is used to describe the structural components. To improve coupling analysis accuracy, discontinuous higher-order boundary components are created for the acoustic domain. The isogeometric boundary element method (IGABEM) discretizes unknown physical fields by using CAD spline functions as basis functions. IGABEM is inherently compatible with CAD and can perform numerical analysis on CAD models without having to go through the time-consuming meshing process required by traditional FEM/BEM and volume parameterization in isogeometric finite element methods. IGABEM’s power in tackling infinite domain issues and combining CAD and numerical analysis is fully used when it is applied to structural form optimization of three-dimensional external acoustic problems. The structural-acoustic design and optimization procedures benefit from the use of structural-acoustic design sensitivity analysis because it may provide information on how design factors affect radiated acoustic performance. This paper provides adjoint operator-based equations for sound power sensitivity on structural surfaces and direct differentiation-based equations for sound power sensitivity on arbitrary closed surfaces surrounding the radiator. Numerical illustrations are provided to show the precision and viability of the suggested approach.

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Section: Subdivision Surfacesmentioning

confidence: 99%

Sensitivity analysis of structural-acoustic fully-coupled system using isogeometric boundary element method

Chen

Xu²,

Zhao³

et al. 2022

Front. Phys.

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show abstract

“…Researchers have introduced several methods for optimizing design, including a range of work on sound barriers [1][2][3], automobiles [4][5][6], buildings [7,8] and mufflers [9,10]. At present, porous materials have been widely used in the field of noise control because of their excellent sound absorption characteristics [11][12][13][14][15]. Considering various constraints, including economy, laying porous materials in certain areas is an effective method.…”

Section: Introductionmentioning

confidence: 99%

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

Liu¹,

Zhao²,

Shen³

2023

Computer Modeling in Engineering &Amp; Sciences

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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.

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“…The process of meshing can be costly when performing large-scale calculations, which makes the transition from computer-aided design (CAD) to computer-aided engineering (CAE) very cumbersome [9]. In isogeometric analysis (IGA), conventional Lagrangian basis functions are replaced by a B-spline basis function commonly used in CAD, which alleviates the meshing burden [10][11][12][13][14][15][16][17][18][19]. As a boundary representation method, IGABEM is naturally compatible with CAD and can thus perform numerical analysis directly on CAD models without having to go through the time-consuming meshing process required by traditional FEM/BEM, and without having to deal with the challenging volume parameterization required by the isogeometric finite element method.…”

Section: Introductionmentioning

confidence: 99%

Design of constrained-layer damping on plates to sound radiation based on isogeometric analysis and non-negative intensity

Zhang

2023

Front. Phys.

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Non-negative intensity (NNI) is a quantity which avoids near-field cancellation effects in sound intensity and provides direct visualization of the surface contributions to the radiated sound power. Hence, minimizing the integration of Non-negative intensity on predefined surfaces is implemented to be the design objective of topology optimization for the constrained-layer damping design on plates in this work. Non-negative intensity can be easily computed based on the radiation modes and the particle velocity on the surfaces of interest. Regarding the radiation modes, an eigenvalue analysis for the acoustic impedance matrix is required. After evaluating the objective function, the gradients of the objective function are computed using an adjoint variable method (AVM). These gradients enable the optimization to be solved by the method of moving asymptotes (MMA). Finally, some numerical examples are presented to validate the proposed optimization approach. Numerical results show that the corner radiation properties of the plate can be suppressed by the optimization, minimizing the integration of Non-negative intensity.

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Bi-material topology optimization for fully coupled structural-acoustic systems with isogeometric FEM–BEM

Cited by 53 publications

References 55 publications

Sensitivity analysis of structural-acoustic fully-coupled system using isogeometric boundary element method

Sensitivity analysis of structural-acoustic fully-coupled system using isogeometric boundary element method

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

Design of constrained-layer damping on plates to sound radiation based on isogeometric analysis and non-negative intensity

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