Journal ArticleDOI
An improved acoustic Fourier boundary element method formulation using fast Fourier transform integration
TLDR
In this article, the Fourier series boundary element method (FBEM) is used to calculate the integrals over the angle of revolution (AoR) of each Fourier term.Abstract:
Effective use of the Fourier series boundary element method (FBEM) for everyday applications is hindered by the significant numerical problems that have to be overcome for its implementation. In the FBEM formulation for acoustics, some integrals over the angle of revolution arise, which need to be calculated for every Fourier term. These integrals were formerly treated for each Fourier term separately. In this paper a new method is proposed to calculate these integrals using fast Fourier transform techniques. The advantage of this integration method is that the integrals are simultaneously computed for all Fourier terms in the boundary element formulation. The improved efficiency of the method compared to a Gaussian quadrature based integration algorithm is illustrated by some example calculations. The proposed method is not only usable for acoustic problems in particular, but for Fourier BEM in general.read more
Citations
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Journal ArticleDOI
Developments in structural-acoustic optimization for passive noise control
TL;DR: In this article, a review of structural and acoustic analysis techniques using numerical methods like the finite-and/or the boundary-element method is presented, followed by a survey of techniques for structural-acoustic coupling.
Journal ArticleDOI
Sound radiation from a vibrating railway wheel
David Thompson,C.J.C. Jones +1 more
TL;DR: In this paper, the sound radiation characteristics of a railway wheel are investigated by using boundary element calculations, in which the wheel is defined by a two-dimensional mesh of its cross-section and the motion is decomposed into harmonics of different numbers of nodal diameters.
Journal ArticleDOI
A high-order Nyström discretization scheme for boundary integral equations defined on rotationally symmetric surfaces
TL;DR: A scheme for rapidly and accurately computing solutions to boundary integral equations (BIEs) on rotationally symmetric surfaces in R^3 using the Fourier transform to reduce the original BIE defined on a surface to a sequence of BIEsdefined on a generating curve for the surface.
Journal ArticleDOI
An advanced boundary element/fast Fourier transform axisymmetric formulation for acoustic radiation and wave scattering problems
TL;DR: In this paper, an advanced boundary element/fast Fourier transform (BE/FFT) methodology for axisymmetric acoustic wave scattering and radiation problems with non-axismmetric boundary conditions is reported.
Journal ArticleDOI
A unified semi-analytic method for vibro-acoustic analysis of submerged shells of revolution
TL;DR: In this article, a unified semi-analytic method was developed to predict vibro-acoustic responses of submerged shells of revolution by employing Flugge shell theory and power series, displacements and forces at any crosssection of conical shells are expressed as eight unknown coefficients.
References
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Book
Boundary Element Methods in Acoustics
TL;DR: In this article, the authors give basic finite formulations, organization of computations, symmetry considerations and new techniques for improving computational efficiency for acoustics applications involving the use of boundary elements.
Journal ArticleDOI
Direct computation of Cauchy principal value integrals in advanced boundary elements
Massimo Guiggiani,Paolo Casalini +1 more
TL;DR: In this article, a new method for the direct computation of strongly singular integrals existing in the Cauchy principal value sense is presented, which can be usefully applied in the solution by the direct boundary element method of many different problems.
Journal ArticleDOI
Accurate numerical integration of singular boundary element kernels over boundaries with curvature
Meng H. Lean,A. Wexler +1 more
TL;DR: Algorithms are presented for the accurate and efficient treatment of singular kernels frequently encountered in the boundary element method (BEM) based upon the use of appropriately weighted Gaussian quadrature formulae, together with numerical geometrical transformations of the region of integration.
Journal ArticleDOI
A boundary element formulation for radiation of acoustic waves from axisymmetric bodies with arbitrary boundary conditions
TL;DR: In this paper, a computational technique using the boundary element method for the prediction of sound radiated by axisymmetric bodies with arbitrary boundary conditions is presented, where the arbitrary boundary condition is expanded in a Fourier series with respect to the angle of revolution.
Journal ArticleDOI
An Axisymmetric Integral Equation Formulation for Free Space Non-Axisymmetric Radiation and Scattering of a Known Incident Wave
TL;DR: In this paper, the surface integral of the Helmholtz integral equation is reduced to a combination of a line integral and an integral over the angle of revolution; only the former integral needs to be discretized, and thus the dimension of the problem is reduced.