Calculation of Eigenvalues for Eddy Current Testing Problems
Author(s) -
Valentīna Koliškina
Publication year - 2015
Publication title -
boundary field problems and computer simulation
Language(s) - English
Resource type - Journals
eISSN - 2255-9132
pISSN - 2255-9124
DOI - 10.7250/bfpcs.2014.002
Subject(s) - eigenvalues and eigenvectors , computation , current (fluid) , eddy current , bessel function , eddy current testing , mathematics , symmetry (geometry) , transcendental equation , mathematical analysis , numerical analysis , physics , algorithm , geometry , quantum mechanics , thermodynamics
Semi-analytical solutions of eddy current testing problems require several computational steps. One of the steps where numerical methods are needed is calculation of complex eigenvalues without good initial approximation for the roots. In the presented paper we describe three eddy current testing problems with cylindrical symmetry where a cylindrical inclusion in a conducting medium is of finite size. In all three cases eigenvalue problem reduces to transcendental equations containing Bessel functions in a complex plane. The algorithm of the solution of such problems is described in the paper. Results of numerical computation are presented.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom