Shape design sensitivity analysis of acoustic problems using a boundary element method

Koo, Bon-Ung

doi:10.1016/s0045-7949(96)00322-7

Cited by 18 publications

(15 citation statements)

References 5 publications

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“…The proposed BEM is coupled with the Adaptive Cross Approximation (ACA), the Hierarchical matrix (H-matrix) format and the GMRES [21] to allow fast solutions for large scale problems. Previous work on BEM sensitivities can be found in [22][23][24][25][26][27][28].…”

Section: Introductionmentioning

confidence: 99%

“…The proposed BEM is coupled with the adaptive cross approximation (ACA), the hierarchical matrix (H-matrix) format and the generalised minimal residual (GMRES) [21] to allow fast solutions for large-scale problems. Previous work on BEM sensitivities can be found in References [22][23][24][25][26][27][28].An early investigation of the BEM sensitivity analysis in the ANC context can be found in Reference [29]. It minimises the total radiated power emanating from a pulsating sphere and from vibrating surfaces within a box using the secondary source vibration surface velocity.…”

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confidence: 99%

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A BEM sensitivity formulation for three‐dimensional active noise control

Brancati

Aliabadi

Mallardo

2012

Numerical Meth Engineering

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Abstract. In this paper a novel Boundary Element (BE) formulation for sensitivity analysis of local active noise control in a three-dimensional field is presented. The formulation is based on the Helmholtz differential equation and it is valid for internal as well as for scattering wave propagation problems. The primary noise is attenuated within an enclosure, called control volume, by adding a control source modelled as an object with a vibrating surface. Both the optimum position of the control volume and the optimum location/orientation of the secondary source are determined by minimisation of a suitable cost function. The sensitivities are determined by implicit differentiation. A hierarchical adaptive cross approximation approach in conjunction with the GMRES solver is implemented to accelerate the convergence. Four numerical examples are presented to demonstrate accuracy and efficiency of the proposed formulations.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

A BEM sensitivity formulation for three‐dimensional active noise control

Brancati

Aliabadi

Mallardo

2012

Numerical Meth Engineering

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“…The design variables include material properties, size, shape, surface normal velocity, frequency, etc. So far, many structural-acoustic sensitivity analysis methods have been presented based on boundary element method (BEM) [4][5][6][7][8][9][10][11][12][13][14][15][16], finite element method (FEM) [17][18][19][20][21][22] or both of them [23][24][25][26]. Among these methods, the boundary element method is considered to be an important technique in the computational solution of acoustics, due to the reduction of the dimension [1][2][3], especially for exterior problems.…”

Section: Introductionmentioning

confidence: 99%

A multi-domain boundary element formulation for acoustic frequency sensitivity analysis

Cheng

Chen

Zhang

et al. 2009

Engineering Analysis with Boundary Elements

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“…Most of these studies have been performed by using the boundary element method and concerned with the ''shape sensitivity'' analysis [1][2][3][4][5]. However in the applications of these studies regular dimensional changes have been considered.…”

Section: Introductionmentioning

confidence: 99%

“…Smith and Bernhard [3] have compared their method of design sensitivity analysis with an alternative method referred to as ''recomputation (iteration)'' method, for a spherical source. Koo [4] has presented analytical expressions for design sensitivity of acoustic problems obtained by differentiating the conventional boundary integral equation. Koo et al [5] have presented another study based on their previous formulations with some new examples.…”

Section: Introductionmentioning

confidence: 99%