scholarly journals Analytical modeling of coil impedance based on truncated region eigenfunction expansion method in eddy current tube inspection

2012 ◽  
Vol 61 (8) ◽  
pp. 088105
Author(s):  
Fan Meng-Bao ◽  
Yin Ya-Dan ◽  
Cao Bing-Hua
Keyword(s):  
Eddy Current ◽  
Eigenfunction Expansion ◽  
Analytical Modeling ◽  
Expansion Method ◽  
Current Tube ◽  
Eigenfunction Expansion Method

scholarly journals Analytical Modeling for the Grating Eddy Current Displacement Sensors

2015 ◽  
Vol 15 (1) ◽  
pp. 44-51 ◽  
Author(s):  
Chunfeng Lv ◽  
Wei Tao ◽  
Huaming Lei ◽  
Yingying Jiang ◽  
Hui Zhao
Keyword(s):  
Eddy Current ◽  
Analytical Modeling ◽  
Expansion Method ◽  
Displacement Sensor ◽  
Modeling Approach ◽  
Eigenfunction Expansion Method ◽  
Displacement Sensors ◽  
Wide Range ◽  
New Type ◽  
Cartesian Coordinate

Abstract As a new type of displacement sensor, grating eddy current displacement sensor (GECDS) combines traditional eddy current sensors and grating structure in one. The GECDS performs a wide range displacement measurement without precision reduction. This paper proposes an analytical modeling approach for the GECDS. The solution model is established in the Cartesian coordinate system, and the solving domain is limited to finite extents by using the truncated region eigenfunction expansion method. Based on the second order vector potential, expressions for the electromagnetic field as well as coil impedance related to the displacement can be expressed in closed-form. Theoretical results are then confirmed by experiments, which prove the suitability and effectiveness of the analytical modeling approach.

The Quasi-Static Analysis for Two-Dimensional Thin Plates

2011 ◽  
Vol 255-260 ◽  
pp. 166-169
Author(s):  
Li Chen ◽  
Yang Bai
Keyword(s):  
Boundary Conditions ◽  
Eigenfunction Expansion ◽  
Solution Space ◽  
Expansion Method ◽  
Fundamental Solutions ◽  
Thin Plates ◽  
Elastic Plates ◽  
Various Boundary Conditions ◽  
Eigenfunction Expansion Method ◽  
Concentration Phenomena

The eigenfunction expansion method is introduced into the numerical calculations of elastic plates. Based on the variational method, all the fundamental solutions of the governing equations are obtained directly. Using eigenfunction expansion method, various boundary conditions can be conveniently described by the combination of the eigenfunctions due to the completeness of the solution space. The coefficients of the combination are determined by the boundary conditions. In the numerical example, the stress concentration phenomena produced by the restriction of displacement conditions is discussed in detail.

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