3-D acoustic infinite element based on an ellipsoidal multipole

Details 3-D acoustic infinite element based on an ellipsoidal multipole 3-D acoustic infinite element based on an ellipsoidal multipole

1997-03-06

1999-10-05

Trans, Vincent N.

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G06F 1750, G06F 1700

Patent

active

059634596

ABSTRACT:
In an improvement over conventional finite element techniques, an ellipsoidal infinite element is used for the modeling of acoustic fields in exterior, fluid-filled domains surrounding a structure. This ellipsoidal infinite element is based on a multipole expansion that describes, to arbitrary accuracy, any scattered and/or radiated field exterior to an ellipsoid. Significantly, the respective eccentricities of the three elliptical cross sections of the ellipsoid can take values that are arbitrary and mutually independent. The ellipsoidal infinite element is readily incorporated in any structural or acoustic finite element code.

REFERENCES:
patent: 5604891 (1997-02-01), Burnett et al.
patent: 5604893 (1997-02-01), Burnett et al.
P. Beness, "Infinite elements," Int. J. Num. Methods Eng. 11, pp. 53-64 (1977).
O. C. Zienkiewicz, K. Bando, P. Bettess, C. Emson, and T. C. Chiam, "Mapped infinite elements for exterior wave problems," Int. J. Num. Methods Eng. 21, pp. 1229-1251 (1985).
David S. Burnett "Finite Element Analysis From Concepts To Applications," Addison-Wesley Publishing Company.
Carson Flammer, Spheroidal Wave Functions, Stanford University Press, Stanford, CA, 1957, pp. 6-10.
David S. Burnett, "A Three-Dimensional Acoustic Infinite Element Based on a Prolate Spheroidal Multipole Expansion," The Journal of the Acoustical Society of America, vol. 96, No. 5, Pt. 1, Nov. 1994, pp. 2798-2816.

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