Circuit-field coupled finite element analysis method for an electromagnetic acoustic transducer under pulsed voltage excitation

tation and considers the non-uniform distribution of the biased magnetic fleld. A complete model of EMATs including the non-uniform biased magnetic fleld, a pulsed eddy current fleld and the acoustic fleld is built up. The pulsed voltage excitation is transformed to the frequency domain by fast Fourier transformation (FFT). In terms of the time harmonic fleld equations of the EMAT system, the impedances of the coils under difierent frequencies are calculated according to the circuit-fleld coupling method and Poynting’s theorem. Then the currents under difierent frequencies are calculated according to Ohm’s law and the pulsed current excitation is obtained by inverse fast Fourier transformation (IFFT). Lastly, the sequentially coupled flnite element method (FEM) is used to calculate the Lorentz force in the EMATs under the current excitation. An actual EMAT with a two-layer two-bundle printed circuit board (PCB) coil, a rectangular permanent magnet and an aluminium specimen is analysed. The coil impedances and the pulsed current are calculated and compared with the experimental results. Their agreement verifled the validity of the proposed method. Furthermore, the in∞uences of lift-ofi distances and the non-uniform static magnetic fleld on the Lorentz force under pulsed voltage excitation are studied.

[1]  Anthony N. Sinclair,et al.  Computation of current densities in the receiving mode of electromagnetic acoustic transducers , 2005 .

[2]  Anthony N. Sinclair,et al.  Optimal design of EMAT transmitters , 2004 .

[3]  Theoretical analysis of quantum game in cavity QED , 2009 .

[4]  R. Ludwig,et al.  Numerical simulations of an electromagnetic acoustic transducer-receiver system for NDT applications , 1993 .

[5]  Anthony N. Sinclair,et al.  Comparison of three formulations for eddy-current and skin effect problems , 2002 .

[6]  Hüseyin R. Hiziroglu,et al.  Electromagnetic Field Theory Funda-mentals , 1997 .

[7]  J. Eisley Mechanics of elastic structures: Classical and finite element methods , 1989 .

[8]  Zhang Dong,et al.  Finite element modeling of acoustic scattering from an encapsulated microbubble near rigid boundary , 2010 .

[9]  Xiaoming Chen,et al.  Low Frequency Generation and Detection of the Lamb Wave A0 Mode Using EMAT , 2007 .

[10]  Z. Csendes,et al.  A One-Step Finite Element Method for Multiconductor Skin Effect Problems , 1982, IEEE Transactions on Power Apparatus and Systems.

[11]  R. B. Thompson,et al.  Mechanisms of electromagnetic generation and detection of ultrasonic Lamb waves in iron‐nickel alloy polycrystals , 1977 .

[12]  R. B. Thompson Generation of horizontally polarized shear waves in ferromagnetic materials using magnetostrictively coupled meander‐coil electromagnetic transducers , 1979 .

[13]  H. Ogi,et al.  EMATs for Science and Industry: Noncontacting Ultrasonic Measurements , 2010 .

[14]  K. Grattan,et al.  A model for pulsed Rayleigh wave and optimal EMAT design , 2006 .

[15]  T Kundu,et al.  Numerical simulation of electromagnetic acoustic transducers using distributed point source method. , 2010, Ultrasonics.

[16]  A. M. Hussein Current distribution and input impedance of a finite electromagnetic acoustic transducer , 1991 .

[17]  Jian-Ming Jin,et al.  The Finite Element Method in Electromagnetics , 1993 .