Deterministic methodology stabilizing with SVD and fuzzy inference for crack shapes on ECT by Laplace transform BEM

Author

Tsuchida, Y. ; Shibao, K. ; Enokizono, M.

Author_Institution

Dept. of Electr. & Electron. Eng., Oita Univ., Japan

Volume

35

Issue

3

fYear

1999

fDate

5/1/1999 12:00:00 AM

Firstpage

1825

Lastpage

1828

Abstract

In this paper, the deterministic methodology stabilizing with singular value decomposition (SVD) and fuzzy inference is described to solve matrices from inverse problems. Since the stability of the matrices can be known by the condition number derived from the singular value, the regularization parameter or fuzzy inference can be utilized to stabilize them properly. The proposed method is applied to crack shape identification on an eddy current testing (ECT) and the effectiveness of it is discussed

Keywords

Laplace transforms; boundary-elements methods; crack detection; eddy current testing; fuzzy logic; inference mechanisms; inverse problems; matrix algebra; numerical stability; singular value decomposition; Laplace transform BEM; crack shape identification; deterministic methodology; eddy current testing; fuzzy inference; matrices solution; regularization parameter; singular value; singular value decomposition; stabilisation; Boundary element methods; Electrical capacitance tomography; Fuzzy sets; Integral equations; Inverse problems; Laplace equations; Matrix decomposition; Shape; Singular value decomposition; Stability;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.767387

Filename

767387