A BEM sensitivity formulation for three‐dimensional active noise control

Brancati, A.; Aliabadi, M.H.; Mallardo, Vincenzo

doi:10.1002/nme.3369

Cited by 15 publications

(11 citation statements)

References 55 publications

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“…Previous work on the topic of shape optimization with the BEM by the research community has mostly considered 2D structures, [1][2][3][4][5][6][7][8][9][10][11] and to a lesser-degree 3D structures. [12][13][14][15][16][17][18] Very few previous works by the research community on the topic of shape optimization with the BEM have considered plate or shell structures. Where possible, modeling a structure as a plate or shell structure can have significant benefits over modeling the structure in 2D or 3D.…”

Section: Introductionmentioning

confidence: 99%

“…Previous work by the research community involving exact⧵implicit derivatives of BEM formulations have focused on 2D structures, 1,3,[21][22][23][24][25][26][27][28] with some work conducted on 3D structures, 13,29 and one work so far on plate structures. 20 One notable example is Huang et al in which the implicit derivatives for the 2D dual boundary element method (DBEM), a version of BEM effective at modeling cracks, were developed for the first time and used to estimate the reliability of 2D structures using the First-Order Reliability Method (FORM).…”

Section: Introductionmentioning

confidence: 99%

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Manufacturing cost and reliability‐based shape optimization of plate structures

Morse

Mallardo

Aliabadi

2022

Numerical Meth Engineering

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A novel methodology is presented for the manufacturing cost and reliability-based optimization of plate structures with the boundary element method (BEM), with the aim of improving the accuracy, robustness, and efficiency of the optimization of aircraft structures. The BEM plate formulations with respect to plate thickness are derived for the first time, and used as part of an implicit differentiation method (IDM), enabling the full shape optimization of plate structures with the BEM. These implicit derivatives are validated against derivatives obtained from the finite difference method (FDM) and from an analytical solution. Results indicate that the IDM is more robust than the FDM and in excellent agreement with the analytical solution, and more accurate than the FDM for most of the step-sizes investigated. To demonstrate the full shape optimization of plates with the newly developed IDM, a numerical example involving reliability-based design optimization and manufacturing cost optimization is presented for a plate structure. Results show that the newly developed IDM is more efficient than the FDM when performing this optimization.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Manufacturing cost and reliability‐based shape optimization of plate structures

Morse

Mallardo

Aliabadi

2022

Numerical Meth Engineering

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“…The modal expansion method [11,12] is based on the analysis of the acoustic motion in terms of the normal modes of the enclosure, while such an approximation is not correct in boundary-adjacent region. The boundary element method (BEM) [13][14][15][16][17] and the finite element method (FEM) [18][19][20] have also been applied for the ANC. However, both of these have drawbacks in terms of overall computational efficiency.…”

Section: Introductionmentioning

confidence: 99%

Singular boundary method based on time‐dependent fundamental solutions for active noise control

Wen

2018

Numerical Methods Partial

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Active noise control is an efficient strategy of noise control. A numerical wave shielding model to inhibit wave propagation, which can be considered as an extension of traditional active noise control, is established using the singular boundary method using time‐dependent fundamental solutions in this study. Two empirical formulas to evaluate the origin intensity factors with Dirichlet and Neumann boundary conditions are derived respectively. In comparison with other similar numerical methods, the method can obtain highly accurate results using very few boundary nodes and small CPU time. These meet the major technical requirements of simulation of active noise control. The subsequent numerical experiments show that the proposed model can shield efficiently from the wave propagation for both inner and exterior problems. By applying the newly derived empirical formulas, the CPU time of the singular boundary method is further reduced significantly, which makes the method a competitive new and efficient meshless method. In addition, the singular boundary method makes active noise control in an online manner via time‐dependent fundamental solutions as its basis functions.

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“…Besset and Jézequel in deal with modal criteria allowing optimization of structures through ASAC based on the independent modal strategy control. Brancatti et al in present a novel boundary element formulation for sensitivity analysis of local active noise control. The formulation is based on the Helmholtz equation, but they do not include the effect of the linear elastic body.…”

Section: Introductionmentioning

confidence: 99%

Local active control for an exterior fluid‐structure interaction problem

Domínguez

Hernández

Torres

2017

Numerical Meth Engineering

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Summary In this paper, we propose a numerical method based on an active structural control to dampen the discrete critical frequencies from a fe/be coupled system, which models a time‐harmonic fluid‐structure interaction problem. The active structural acoustic control used consists of applying external forces directly on the structure, so that in the presence of critical frequencies, the linear system remains stable and, in turn, in the presence of non‐critical frequencies, the active control does not alter the system. We consider the problem in the framework of the theory of optimal control and present bi‐dimensional numerical simulations to show the behavior of the scheme in some vibro‐acoustic structures. Copyright © 2016 John Wiley & Sons, Ltd.

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A BEM sensitivity formulation for three‐dimensional active noise control

Cited by 15 publications

References 55 publications

Manufacturing cost and reliability‐based shape optimization of plate structures

Manufacturing cost and reliability‐based shape optimization of plate structures

Singular boundary method based on time‐dependent fundamental solutions for active noise control

Local active control for an exterior fluid‐structure interaction problem

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