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A Generalized Collocation Approach for Acoustic Analysis of Mixed Regular and Thin Bodies
Technical Paper
2005-01-2347
ISSN: 0148-7191, e-ISSN: 2688-3627
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English
Abstract
In several applications of boundary element methods to acoustic and vibroacoustic analysis there is the need to model thin shells. Typically the classical Helmholtz integral equation is considered to breakdown for thin geometries and alternative approaches are used. In this paper it is however showed that the breakdown is not related to the Helmholtz integral equation itself, but instead is due to the discretization technique. An extension of the classical collocation approach that permits to bypass the thin shape breakdown is then proposed. The new discretization technique is referred as generalized collocation since the collocation point is no more placed on the integration surface but in the computational domain. Several numerical example are presented in order to show the accuracy and robustness of the proposed method.
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di Francescantonio, P., "A Generalized Collocation Approach for Acoustic Analysis of Mixed Regular and Thin Bodies," SAE Technical Paper 2005-01-2347, 2005, https://doi.org/10.4271/2005-01-2347.Also In
References
- Martinez R. “ The thin shape breakdown (tsb) of the helmholtz integral equation ” J. Acoust. Soc. Am. 90 5 2728 2738 1991
- Wu T.W. “ A direct boundary element method for acoustic radiation and scattering from mixed regular and thin bodies ” J. Acoust. Soc. Am. 97 1 84 91 1995
- Kanwal Ram P. “ Generalized functions, Theory and Technique ” Academic Press 1983
- Farassat F. “ Introduction to generalized functions with application in aerodynamics and aeroacoustics ” 1994
- Brandao M.P. “ On the Aeroacoustics, Aerodynamics, and Aeroelasticity of lifting surfaces ” Stanford University February 1988
- Myers M.K. Farassat F. “ Extension of Kirchhoff formulation to radiation from moving surfaces ” J. of Sound and Vibration. 123 451 460 1988
- Ido H. Suzuky S. Marayama S “ Boundary Element Analysis of Cavity noise with complicated boundary conditions ” J. of Sound and Vibration. 130 1 79 91 1989
- Schuhmacher A “ Sound Source Reconstruction Using Inverse Sound Field Calculations ” Technical University of Denmark 2000
- Chen P.T. Ginsberg J.H. “ Analysis using variational principles of the surface pressure and displacement along axisymmetrically exicited disk in a bafle ” J. Acoust. Soc. Am. 88 548 559 1990