Half-space radiation by EMATs

A Green's function calculation of the far-field radiation patterns of EMATs is presented. The approach is based on (a) closed form expressions for the eddy current and static magnetic field distributions, established by the EMATs, which react to produce the driving Lorentz forces, and (b) a Green's function derived from the steepest descent approximation to the far-field response of an arbitrary surface point force on a half space. Numerical results are presented, illustrating the radiation patterns of the three common EMAT designs. Included are vertically polarized shear waves as radiated by both meander coil and periodic magnet EMATs and horizontally polarized shear waves as radiated by the latter.     

The excitation and detection of lamb waves with planar coil electromagnetic acoustic transducers

Planar coil electromagnetic acoustic transducers (EMATs) are investigated for the excitation and detection of Lamb waves in nonferromagnetic metallic wave-guides. Such EMATs are attractive for certain applications due to their omni-directional sensitivity to wave modes with predominantly in-plane surface displacement, such as the So Lamb wave mode. A model is developed that enables the modal content of the radiated Lamb wave field from a transmitting EMAT to be calculated, and the output voltage from a receiving EMAT to be predicted when a Lamb wave mode is incident on it. The predictions from this model are compared with experimental data obtained from 12 different EMATs tested on a 5-mm thick aluminum plate, and good agreement is obtained. The model then is used to analyze the different effects that contribute to the overall Lamb wave modal sensitivity of an EMAT. The relationship between coil geometry and wavelength is examined.     

利用电磁超声横波检测二冷区尾端连铸坯壳厚度

使用电磁超声横波对二冷区尾端的连铸坯壳厚度进行检测,并建立了有限元仿真模型.选取Q235连铸小钢坯作为被测对象.为减小永磁铁的提离距离、在被测体内部生成更大的感应涡流,文章利用多物理场有限元仿真软件建立了一种不同于一般结构的电磁超声换能器仿真模型:圆柱形永磁体两侧并行排列螺旋线圈.分析了永磁铁尺寸对磁场涡流的影响以及电...     

Electromagnetic acoustic transducer for in-plane and plane-normal velocity measurements

A new electromagnetic acoustic transducer (EMAT) is developed that measures velocities and absolute surface displacements in-plane and plane-normal to the direction of wave propagation. This transducer is flexible in shape and design to conform with irregular surfaces and has unique characteristics of nonresonant frequency response. Tests show that the sensitivity of this EMAT can be increased by increasing the applied magnetic field. Because this transducer is mode selective and nonresonent, its response can be related uniquely to the wave motion. This property is highly desirable for research purposes, though generally not wanted in field monitoring situations.     

基于COMSOL连铸坯壳测厚横波EMAT优化

为了研究电磁超声传感器(Electromagnetic Acoustic Transducer,EMAT)横波测量连铸坯壳厚度的机理及横波在连铸坯中的传播情况,选取坯壳厚度为10~50 mm的Q235小方坯为研究对象,利用有限元软件COMSOL建立脉冲电磁铁和螺旋线圈的电磁超声模型,分析在不同EMAT结构参数下,连铸坯中电磁场、力场、声场的分布规律。研究结果表明:脉冲电磁铁和螺旋线圈组成的EMAT能够在连铸坯壳集肤层激发出超声波横波。脉冲电磁铁空心螺线管线圈匝数、内半径、线圈导线半径对换能效率的影响依次减小,且当脉冲电磁铁内半径尺寸大于螺旋线圈尺寸时,产生横波的效率最高。坯壳厚度越小,螺旋线圈最优激励频率越大,测量精度越高,信号衰减越快。因此,坯壳厚度为10~50 mm的Q235小方坯选择1.1 MHz为最佳激励频率。     

Quantitative modeling of the transduction of electromagnetic acoustic transducers operating on ferromagnetic media

The noncontact nature of electromagnetic acoustic transducers (EMATs) offers a series of advantages over traditional piezoelectric transducers, but these features are counter-balanced by their relatively low signal-to-noise ratio and their strong dependence on material properties such as electric conductivity, magnetic permeability, and magnetostriction. The implication is that full exploitation of EMATs needs detailed modeling of their operation. A finite element model, accounting for the main transduction mechanisms, has been developed to allow the optimization of the transducers. Magnetostriction is included and described through an analogy with piezoelectricity. The model is used to predict the performance of a simple EMAT: a single current-carrying wire, parallel to a bias magnetic field generating shear horizontal waves in a nickel plate close to it. The results are validated against experiments. The model is able to successfully predict the wave amplitude dependence on significant parameters: the static bias field, the driving current amplitude, and the excitation frequency. The comparison does not employ any arbitrary adjustable parameter; for the first time an absolute validation of a magnetostrictive EMAT model has been achieved. The results are satisfactory: the discrepancy between the numerical predictions and the measured values of wave amplitude per unit current is less than 20% over a 200 kHz frequency range. The study has also shown that magnetostrictive EMAT sensitivity is not only a function of the magnetostrictive properties, because the magnetic permeability also plays a significant role in the transduction mechanism, partly counterbalancing the magnetostrictive effects.     

静磁场在材料生产过程中的应用研究评述

在材料电磁过程研究中，静磁场尤其是强磁场材料科学是当今世界的研究热点。本文从静磁场作用下生成的洛仑兹力和磁化力两个角度系统地归纳总结了静磁场技术在材料生产领域的应用原理和实践。对静磁场下的洛仑兹力，主要介绍了流体流动、波动和对流控制、电磁振动及电磁超声波等方面的研究现状；对强磁场下的磁化力，主要介绍了其在相变、结晶配向、磁悬浮、磁对流等方面的研究进展。最后对强磁场材料科学的研究趋势和发展前景做了展望。     

超磁致伸缩棒磁场强度建模及线圈优化分析

超磁致伸缩棒上的磁场强度对超磁致伸缩致动器(GMA)至关重要,因其幅值和上升、下降时间直接影响致动器的输出力和响应时间.建立电压到磁场强度的模型,并提出较合理的线圈优化方案.将线圈充、放电过程简化为一阶RL线性电路的暂态过程,计算得到线圈电流,并根据线圈电流建立超磁致伸缩棒上的磁场强度模型.由模型可知,致动器尺寸有限制时,棒上磁场强度的优化应主要考虑线圈匝数;通过分析线圈匝数对磁场强度稳态值、上升时间和下降时间的影响确定匝数的取值范围.向线圈施加不同频率和幅值的方波电压信号,得到的模型曲线与测得的实验结果相吻合,从而验证了模型的正确性.     

The Lorentz forces on an electrically conducting sphere in analternating magnetic field

A method to calculate the Lorentz force on an electrically conducting sphere placed in an arbitrary sinusoidally varying magnetic field is developed. The crux of this method lies in expressing the external magnetic held and the eddy current density in the sphere in terms of a “source function” of the current sources and a “skin depth dependent function”. The general formula for the Lorentz force is used to derive the special case of a sphere in an axisymmetric stack of circular current loops. Numerical results for this case are presented as a function of the stack geometry. Approximations of the skin depth functions for practical situations are presented. Finally, a procedure to determine the magnetic pressure distribution on the surface of a levitated liquid metal droplet is given     

SH电磁超声换能器优化设计及粘接强度测量

电磁超声换能器(Electromagnetic Acoustic Transducer,EMAT)使用时无需耦合剂，可以便捷地应用于严苛工况下结构的超声检测。但由于EMAT复杂的多物理场换能机理，通常存在换能效率低，接收信号信噪比小等缺点。针对上述问题，文章开展了线圈宽度、线圈间距及磁致伸缩贴片等参数对EMAT换能效率的影响研究，优化设计了SH电磁超声换能器。实验结果表明，一定厚度的磁致伸缩贴片对EMAT的换能效率有较明显的提高。基于SH0导波对界面变化的敏感性，采用优化设计的EMAT激发SH0导波，对固化温度等因素引起的多层铝板弱粘接结构件进行粘接性能的检测，实验测得的粘接强度与结构拉伸强度的变化趋势一致，表明优化后的EMAT可以适用于粘接结构状态的检测。     

Absolute measurements of ultrasonic pressure by using high magnetic fields

A hydrophone is introduced that exploits the emf signal generated in a conductor when sonicated in the presence of a uniform static magnetic field. The method uses a small metal coil or metal membrane as a hydrophone receiver. Acoustic signals at 748 kHz are introduced in 1.5 T and 4.7 T fields and recorded both through direct electrical contact with the hydrophone and via RF pick-up coils, allowing wireless placement of the hydrophone. Linear response Is confirmed over four orders of magnitude in the pressure amplitude. Waveforms determined from the detected voltage are shown to be in excellent agreement with those obtained using a calibrated polyvinylidene difluoride film, and absolute values correlate within 20%. The methods are conceptually suitable for use in the presence of the high and uniform field of commercial MR scanners. The hydrophone may appear particularly useful as a quality assurance device in therapeutic and diagnostic acoustic techniques that use MRI.     

A wireless batteryless deep-seated implantable ultrasonic pulser-receiver powered by magnetic coupling

This study tests a deep-seated implantable ultrasonic pulser-receiver, powered wirelessly by magnetic coupling. A 30-cm energy-transmitting coil was designed to wrap around the body, and was driven by a current of 1.2 A rms at a frequency of 5.7 MHz to generate a magnetic field. A 2-cm receiving coil was positioned at the center of the primary coil for receiving the magnetic energy and powering the implantable device. A capacitor-diode voltage multiplier in the implantable circuit was used to step-up the receiving coil voltage from 12.5 to 50 V to operate an ultrasonic pulser. FEA magnetic field simulations, bench-top, and ex vivo rabbit measurements showed that the magnetic energy absorption in body tissue is negligible and that the magnetic coupling is not sensitive to receiving coil placement. The receiving coil and the power conditioning circuits in the implantable device do not contain ferromagnetic material, so a magnetic-resonance-compatible device can be achieved. A 5-MHz ultrasound transducer was used to test the implantable circuit, operating in pulse-echo mode. The received echo was amplified, envelope-detected, frequency-modulated, and transmitted out of the rabbit body by a radio wave. The modulated echo envelope signal was received by an external receiver located about 10 cm away from the primary coil. The study concludes that operation of a batteryless and wireless deep-seated implantable ultrasonic pulser-receiver powered by coplanar magnetic coupling is feasible.     

Analysis of a novel laminated coil using eddy currents for AC highmagnetic field

The analysis and performance of an eddy current type laminated coil for a high AC magnetic fields are described. It is usually difficult to obtain a high AC magnetic field using an air-gap coil because of eddy currents. The present coil circumvents this limitation by making use of the magnetic shielding effect of eddy currents. Two different realizations of the coil are proposed to provide design flexibility. The field distributions are analyzed by the two-dimensional finite-element method. The coils can also be applied to an induction electromagnetic pump     

Analytical solutions to eddy current in carbon fiber-reinforced composites induced by line current

This paper presents analytical solutions to eddy current distribution in carbon fiber-reinforced plastics induced by line current. Derived solutions show that eddy current distribution in unidirectional carbon fiber composite is dependent only on electrical conductivity in the drive current direction when the drive current is directed in the fiber direction or the transverse direction. Moreover, according to the derived analytical solution, skin depth of eddy current depends not only on frequency of drive current but on lift-off and width of the drive current unlike general expression of skin depth. Finally, we discuss improvement of sensitivity of eddy current conductivity sensor using analytical solutions. It is found that analytical solutions can clearly divide effects of magnetic field from drive current and that from eddy current. Sensitivity of eddy current sensor can be improved by 10 times placing pickup coil at region where the effect of magnetic field from eddy current is large.     

A simple dynamic model for eddy currents in a magnetic actuator

This paper presents a simple dynamic model of eddy currents in a magnetic actuator. The model is based on the application of Maxwell's equations to a homogeneous ferromagnetic conductive material. The resulting diffusion equation is solved in two dimensions for a cross-sectional cut through a rectangular bar; boundary conditions are imposed by a sinusoidally varying actuator coil current. The utility of the new modeling approach is illustrated by predicting the dynamic performance of a magnetic bearing actuator. The predictions are found to be in good agreement with measured values. The model provides a new and convenient method of modeling the relationships among voltage, current, force, and flux in magnetic circuits containing eddy currents     

The quantitative relations between true and standard depth of penetration for air-cored probe coils in eddy current testing

The true depth of penetration of eddy currents generated in a conducting sample by an air-cored probe coil, besides depending on the electromagnetic wave frequency and the magnetic permeability and electrical conductivity of the sample, also depends strongly on the coil dimensions and the sample thickness. The standard depth of penetration widely used as a guide for eddy current inspection purposes is calculated for a plane electromagnetic wave incident perpendicularly on a conducting half-space and is thus a material/test parameter rather than a true measure of penetration. In this paper the quantitative relations between true depth of penetration and standard depth of penetration are presented for three configurations of eddy current probe and test material. First an air-cored coil above a conducting half-space is considered, then the same coil above a conducting sheet, and finally the true depth of penetration is calculated in a conducting half-space covered with cladding for different ratios of condictivity between cladding and base material.     

Eddy current turbocharger blade speed detection

A commercially available magnetic reluctance sensor is used to determine the angular velocity of turbocharger impeller blades from outside the aluminum housing. Eddy currents are induced in the aluminum blades by blade motion through the magnetic field projected by an externally mounted Samarium-Cobalt permanent magnet. Experiments show that secondary eddy currents and associated ac magnetic fields generated in the aluminum housing provide the prime excitation for a sensor coil located outside the housing. The coil output voltage spectrum shows a strongly peaked structure with peak locations at multiples of the blade passage frequency in the range 1-10 kHz. The sensor output signal decreases with increasing frequency above 2 kHz because of increasingly effective attenuation by the housing. Test results show that a circuit designed to track the blade signal gives an analog voltage output proportional to the frequency of blade passage over the operating range of the Cummins VT-903 and Detroit 8V-71T turbocharged diesel engines. Suggestions are made for the design of a sensor appropriate for both magnetic reluctance and eddy current sensing applications.     

Numerical analysis of high-frequency induction heating includingtemperature dependence of material characteristics

We have carried out a numerical analysis of the magnetic field on high-frequency induction heating. This analysis includes the dependence of various magnetic properties on temperature. The required characteristics are obtained experimentally. We compare the experimental results with the theoretical values obtained by approximations. Until now, the current density inside the exciting coil on this kind of problem has been assumed to be uniform, which is different from actual phenomena. We propose a new method which takes the inhomogeneous distribution of exciting current into account. In this analysis, the eddy current of the exciting coil is also taken into account     

Electromagnetic Forming Tools and Processing Conditions: Numerical Simulation

Finite element (FE) modeling is used to simulate the electromagnetic forming process. Two industrial tools are considered: a four-turn compression coil with a ferromagnetic screen and a stepped field shaper as well as a seven-turn pancake coil with a ferromagnetic outer screen. Details on FE model building are thoroughly discussed. The input load is the current of the coil, which can be experimentally measured. The deformation characteristics of the workpiece as well as the electromagnetic variables of the high-energy rate process (i.e., the magnetic flux density around the conductors and the Lorentz forces acting on the workpiece) are calculated numerically. The effects of the various parameters of the electromagnetic forming process, such as initial charging voltage, workpiece material, and geometry as well as holding devices, are analyzed either theoretically or through FE modeling. In most cases, the dependent variable is the Lorentz force acting on the workpiece. The numerically calculated and analytical electromagnetic results are in good agreement. The present analysis is useful for the practical realization of the electromagnetic forming process, contributing also to a better understanding of its principles.     

曲面间隙测量电涡流传感器探头的性能研究

针对曲面间间隙测量的实际应用,从电涡流传感器的检测原理出发,对传感器探头的测量性能进行了研究．在平面线圈磁场分布计算的基础上,通过修正得到了曲面线圈的磁场分布规律,进而对线圈的测试性能进行分析和预测,实现了线圈参数的优化设计．同时,对曲面测量的各种影响因素进行了分析和试验验证,为电涡流传感器应用于曲面测量提供参考和依据．