FEM–BEM-coupling and structural–acoustic sensitivity analysis for shell geometries

Fritze, Denny; Marburg, Steffen; Hardtke, H.‐J.

doi:10.1016/j.compstruc.2004.05.019

Cited by 67 publications

(66 citation statements)

References 13 publications

(11 reference statements)

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“…These are in the standard variant often selected on the basis of experience and experimentation (since optimal values are problem dependent), which represents a significant deficiency in practice. Certainly, the optimization procedure based on deterministic analysis is also able to reduce the value of acoustic responses of structures [19][20][21][22] significantly.…”

Section: The Implementation Methods Of the Structural-acoustic Optimizmentioning

confidence: 99%

Reliability-Based Optimization of Coupled Structural-Acoustic System with Random Parameters

Wang¹,

Li²,

Ma³

et al. 2016

IJAV

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Structural noise is an important factor that endangers aircraft fatigue life and flight safety. It also has a negative effect on aircraft stealth performance and noise navigability. An optimal design of a structure-acoustic coupled system is an effective way to reduce noise and vibration. Due to the uncertainties that exist in the structural and acoustical parameters, the traditional deterministic optimization method may be unfeasible when the parameters are subject to fluctuations. This means that when the parameters are uncertain, the results obtained from the deterministic optimization method may be beyond their constraints. This paper proposes to apply the stochastic reliability-based optimization method to the design optimization of the coupled structural-acoustic system with random parameters. A comparison between the results of the stochastic reliability-based method, the safety factorbased method, and the deterministic method show that the first two methods can effectively consider the dispersion of the parameters.

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Section: The Implementation Methods Of the Structural-acoustic Optimizmentioning

confidence: 99%

Reliability-Based Optimization of Coupled Structural-Acoustic System with Random Parameters

Wang¹,

Li²,

Ma³

et al. 2016

IJAV

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show abstract

“…In general, the procedure that yields the optimum secondary source location and orientation requires at every iteration the calculation of the matrices involved in equations (31)(32)(33)(34)(35)(36) and the resolution of the two systems of equations (32) and (34). In fact, the secondary source is part of the geometry of the problem and a variation of its location modifies the solution of both the primary and the secondary fields.…”

Section: Equation Assemblymentioning

confidence: 99%

“…Prasad and Kane [32] demonstrated the superiority of employing preconditioned iterative equation solvers for sensitivity analysis. Fritze et al [33] proposed a coupled FE (structure) and BE (external fluid) approach for passive noise control of large scale models. Nemitz and Bonnet [34] utilised a sensitivity based boundary element formulation accelerated by the fast multipole method to solve the problem of inverse scattering of scalar waves.…”

Section: Introductionmentioning

confidence: 99%

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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“…Moreover, the Sommerfeld radiation condition at infinity is automatically satisfied for exterior acoustic problems. Making the best use of the advantages of both methods, the FEM-BEM coupling approach was developed by Everstine, Henderson (1990), and the coupled approach has been widely adopted (Chen et al, 1998;Rajakumar, Ali, 1996;Márquez et al, 2004;Fritze et al, 2005;Schneider, 2008).…”

Section: Introductionmentioning

confidence: 99%

2D Structural Acoustic Analysis Using the FEM/FMBEM with Different Coupled Element Types

Chen¹,

Zhao²,

Liu³

et al. 2017

Archives of Acoustics

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A FEM-BEM coupling approach is used for acoustic fluid-structure interaction analysis. The FEM is used to model the structure and the BEM is used to model the exterior acoustic domain. The aim of this work is to improve the computational efficiency and accuracy of the conventional FEM-BEM coupling approach. The fast multipole method (FMM) is applied to accelerating the matrix-vector products in BEM. The Burton-Miller formulation is used to overcome the fictitious eigen-frequency problem when using a single Helmholtz boundary integral equation for exterior acoustic problems. The continuous higher order boundary elements and discontinuous higher order boundary elements for 2D problem are developed in this work to achieve higher accuracy in the coupling analysis. The performance for coupled element types is compared via a simple example with analytical solution, and the optimal element type is obtained. Numerical examples are presented to show the relative errors of different coupled element types.Keywords: boundary element method; finite element method; discontinuous boundary elements; acoustic fluid-structure interaction; fast multipole method.

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FEM–BEM-coupling and structural–acoustic sensitivity analysis for shell geometries

Cited by 67 publications

References 13 publications

Reliability-Based Optimization of Coupled Structural-Acoustic System with Random Parameters

Reliability-Based Optimization of Coupled Structural-Acoustic System with Random Parameters

A BEM sensitivity formulation for three‐dimensional active noise control

2D Structural Acoustic Analysis Using the FEM/FMBEM with Different Coupled Element Types

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