A one-dimension coupled hysteresis model for giant magnetostrictive materials

This paper addresses the development of a one-dimension model for quantifying magnetic-elastic-thermal coupling and hysteresis inherent to giant magnetostrictive materials. Firstly, the anhysteretic law is modeled by considering the Gibbs free energy function G(σ, M, T), and thermodynamic relations are used to obtain the constitutive expressions. These expressions character the effects of coupling between stress, magnetization, and temperature in the giant magnetostrictive material but hysteresis, i.e. strain and magnetic intensity described by above the constitutive expressions are single-valued function of the magnetization. And then pinning is incorporated to describe hysteresis based on Jiles–Atherton model. The model considered in the paper is demonstrated valid by comparing the predicted results with experimental data. Moreover, the model proposed in the paper is convenient to be used in engineering applications since the parameters referred to the model have definite physical mean and can all be easily determined by experiments.     

A nonlinear magneto-thermo-elastic coupled hysteretic constitutive model for magnetostrictive alloys

This paper presents a general hysteretic constitutive law of nonlinear magneto-thermo-elastic coupling for magnetostrictive alloys. The model considered here is thermodynamically motivated and based on the Gibbs free energy function. A nonlinear part of the elastic strain arising from magnetic domain rotation induced by the pre-stress is taken into account. Furthermore, the movement of the domain walls is incorporated to describe hysteresis based on Jiles–Atherton's model. Then a set of closed and analytical expressions of the constitutive law for the magnetostrictive rods and films are obtained, and the parameters appearing in the model can be determined by those measurable experiments in mechanics and physics. Comparing this model with other existing models in this field, the quantitative results show that the relationships obtained here are more effective to describe the effects of the pre-stress or in-plane residual stress and ambient temperature on the magnetization or the magnetostriction hysteresis loops.     

Hysteresis compensation of piezoelectric actuators: The modified Rayleigh model

In this study, we develop a novel modified Rayleigh model for hysteresis compensation in piezoelectric actuators. Piezoelectric actuators suffer from hysteresis, in large drive fields of more than 100 V, which can result in serious displacement errors. The typical phenomenological approach is to use the Rayleigh model; however, this model gives more than 10% difference with experiments at the large electric fields of more than 1 kV/mm. Furthermore, there are no studies that apply the Rayleigh model to the compensation of precision actuators, such as stack actuators; it has only been applied in the study of the physical properties of piezoelectric materials. Therefore, we propose a modified Rayleigh model, in which each coefficient is defined differently according to whether the field is increasing or decreasing to account for asymmetry at the high fields. By applying a computer-based control from an inverse form of this modified Rayleigh model, we show that we can compensate for hysteresis to reduce the position error to less than five percent. This model has the merits of reducing complicated fitting procedures and of saving computation time compared to the Preisach model. Specifically, this model cannot only predict the hysteresis curves in all local fields using only one fitting procedure, but also make it possible to control the displacement of various piezo-based actuators without expensive sensors, based on the charge-based model.     

A neural networks based model of inverse hysteresis

A novel and simple approach based on transformation using neural networks is proposed in this paper to model the inverse behavior of hysteresis. In this approach, a continuous transformation is used to construct an elementary inverse hysteresis operator (EIHO), which can extract the change tendency of inverse hysteresis. Then based on the EIHO, an expanded input space is constructed to transform the multi-valued mapping of inverse hysteresis into a one-to-one mapping. Based on the constructed expanded input space, a neural network is employed to approximate the inverse hysteresis. Both experiment and simulation are implemented to validate the effectiveness of the proposed approach. These results indicate that the proposed approach has derived satisfactory modeling performance.     

A general 3-D nonlinear magnetostrictive constitutive model for soft ferromagnetic materials

In this paper, a new general nonlinear magnetostrictive constitutive model is proposed for soft ferromagnetic materials, and it can predict magnetostrictive strain and magnetization curves under various pre-stresses. From the viewpoint of magnetic domain, it is based on the important physical fact that a nonlinear part of the elastic strain produced by magnetic domain wall motion under a pre-stress is responsible for the change of the maximum magnetostrictive strain in accordance with the pre-stress. Then the reduction of magnetostrictive strain from the maximum is caused by the domain rotation. Meanwhile, the magnetization under various pre-stresses in this model is introduced by magnetostrictive effect under the same pre-stress. A simplified 3-D model is put forward by means of linearizing the nonlinear function, i.e. the nonlinear part of the elastic strain produced by domain wall motion, and by using the quartic of magnetization to describe domain rotation. Besides, for the convenience of engineering applications, two-dimensional (plate or film) and one-dimensional (rod) models are also given for isotropic materials and their application ranges are discussed too. In comparison with the experimental data of Kuruzar and Jiles, it is found that this model can predict magnetostrictive strain and magnetization curves under various pre-stresses. The numerical simulation further illustrates that the new model can effectively describe the effects of the pre-stress or residual stress on the magnetization and magnetostrictive strain curves. Additionally, this model can be degenerated to the existing magnetostrictive constitutive model for giant magnetostrictive materials (GMM), i.e. a special soft ferromagnetic material.     

A new open-loop driving method of piezoelectric actuator for periodic reference inputs

The hysteresis characteristic of piezoelectric actuators is one of the major deficiencies in a wide variety of precise tracking positioning controls. In this paper, a novel mathematical model is proposed to describe hysteresis precisely and an open-loop tracking controller is implemented with the proposed model to compensate the hysteresis for tracking periodic sinusoidal inputs. Finally, some tracking control experiments based on a micro-positioning stage for the desired sinusoidal trajectory are performed according to the proposed method and the experimental results demonstrate that the positioning precision is noticeably improved in the open-loop operation compared to the conventional open-loop control without any compensation. In comparison to the regular PID closed-loop controller, the proposed feedforward control method has better tracking performance.     

用于电流传感的声表面波磁致伸缩效应

利用声表面波(SAW)磁致伸缩效应可以实现一种快速、高灵敏度的电流检测方法,但磁致伸缩薄膜内部矫顽力导致了明显的磁滞误差。磁致伸缩薄膜的栅阵化设计可以减小磁致伸缩时薄膜内部矫顽力,抑制磁滞现象,从而实现高灵敏和低迟滞误差的SAW电流检测。结合有限元和耦合模理论对沉积铁钴(FeCo)薄膜栅阵的声表面波电流传感器中的磁致伸缩效应进行分析,对传感响应进行仿真,确定优化的传感结构参数。为验证理论分析,实验研制了频率为150 MHz的声表面波电流传感器件,并结合差分振荡电路及亥姆霍兹线圈,建立传感器测试系统.实验结果表明,磁致伸缩薄膜的栅阵设计大幅降低了迟滞误差,并显著提升了传感器灵敏度。      

Observation of zero creep in piezoelectric actuators

Piezoelectric actuators are frequently used nowadays in a wide variety of positioning devices. Although very suitable for small displacements in the range of nm to several hundreds of μm, the actuators always suffer from hysteresis and creep between the input voltage and resulting displacements. In scanning applications, the input voltage is often used as an indicator of the induced displacement. This procedure can result in a large position error depending on the amount of hysteresis and creep. In order to describe and control hysteretic systems various models for hysteresis have been published but little is known about relaxation and creep in piezo materials. In this paper we present detailed studies of the hysteretic behavior and piezo relaxation and creep. We have identified certain locations on the hysteresis loop that exhibit zero creep. From this observation, a more fundamental relation between the amount of creep and the local slope of the hysteresis loop and the virgin curve is presented. This observation could be useful in both open-loop and closed-loop position control, since it allows quantification of the creep. Futhermore, the experimentally observed relation between the creep and the hysteresis suggests a reduction of the creep for non-hysteretic transfers. First measurements on a system with reduced hysteresis support this hypothesis. Received: 15 February 1999 / Accepted: 16 February 1999 / Published online: 28 April 1999     

A neural model of hysteresis in amorphous materials and piezoelectric materials

A new approach to constructing hysteretic operator (HO) is proposed in this paper. Based on the HO, the input space of neural networks is expanded from one-dimension to two-dimension and the multi-value mapping of hysteresis is transformed into a continuous mapping comprised of one-to-one mapping and multiple-to-one mapping. Based on the expanded input space, a neural network is employed to approximate hysteresis. The results of experimental examples suggest the proposed approach is effective.     

温稠密参数下的双流不稳定性分析

温稠密物质状态是惯性约束聚变过程及天体演化过程中的重要物质发展阶段。随着密度的增加,量子效应逐渐显现并导致包括温稠密参数下集体激发行为与经典等离子体模型之间出现差异。密度泛函动理学方法是基于含时密度泛函理论建立的统计模型,并依据Wigner分布函数(相空间量子力学)发展的动理学输运方法,可以有效弥补经典等离子体理论对量子效应的忽略。基于密度泛函动理学方法,发现温稠密特征参数内费米狄拉克分布、交换关联效应、量子衍射效应等性质都对双流不稳定性起到抑制作用。密度泛函动理学方法有望为等离子体视角研究温稠密系统输运性质提供第一性的理论平台。     

新型声表面波电流传感器*

将声表面波技术的快速响应特点与磁致伸缩薄膜的高磁敏特点相结合,可实现一种快速、高灵敏、稳定可靠的新型电流检测技术。传感器由双通道差分式振荡器与沉积在传感通道器件表面的声传播路径上的磁致伸缩薄膜组成。该文基于分层介质中声传播理论及磁致伸缩效应,对声表面波电流传感机理进行了分析,以实现对传感器结构的优化设计。实验研制了采用铁钴(FeCo)薄膜的声表面波电流传感器,测试结果表明,该传感器具有快速响应和高灵敏特点。为抑制磁致伸缩薄膜自身的剩磁效应所带来的高磁滞误差,采用的有效途径是将沉积的磁致伸缩薄膜进行图形化设计。实验结果表明,采用栅阵化FeCo薄膜结构的传感器表现出更高检测灵敏度、更好线性及更低的磁滞误差。     

Design of optical system for flattop beam shaper based on the measurement of laser induced damage threshold of thin films

To solve the problem of large error when measure the laser induced damage threshold of thin films in the case of Gaussian distribution beam induced damage thin films, optical system of flattop beam shaper which is capable of redistributing a beam with a Gaussian profile to a flattop profile was designed with optical design software ZEMAX. The Fermi-Dirac beam model was chosen as the distribution function of the flattop beam in this paper, the mapping formula of the input Gaussian beam and the output flattop beam was establish, the surface coefficient of aspheric was given. The energy conversion efficiency was 95.33% and the flattened degree was 93.66% in this design. The accuracy of measurement has been improved when measure the laser induced damage threshold of thin films by the flattop beam.     

强光场中电子系统与多光子的相互作用

在非相对论量子场论框架下,给出电子场和光子场相互作用时整个系统的哈密顿量H_tot,研究在强光场中非线性项即A²项的作用.电子系统用Fermi-Dirac统计的Schr?dinger量子波场描述.采用“自洽平均场”和“有效质量”近似,并基于位移谐振子的相干态方法,得到电子波光量子场算子函数的Lee-Low-Pines表式f(b⁺),再利用算子函数f(b⁺)对算子b+的微商公式,导出了相关理论计算公式,其中包括电子能量E< 关键词： 强光场 多光子 非线性光学     

Metal nanowires fabricated by means of magnetostrictive actuator

A new method of fabricating nanowires for electric conductance quantization studies is proposed as an alternative to the method based on converse piezoelectric effect. Commonly used for nanowire fabrication, piezoelectric actuators are expensive and require high-level voltage control signal. The method presented in this paper is based on the use of magnetostrictive actuator. Both the actuator structure and the method of the conversion factor measurement are discussed. The results of the tests of the magnetostrictive actuator are also reported. The parameters of the proposed actuator are compared with those of its piezoelectric counterpart used to date. The results of measurement confirm that the proposed actuator can be used for studying electric conductance quantization in nanowires. Presented at the X-th Symposium on Surface Physics, Prague, Czech Republic, July 11–15, 2005     

Prandtl–Ishlinskii hysteresis models for complex time dependent hysteresis nonlinearities

We introduce a new class of time dependent hysteresis models by combining the time dependent Prandtl–Ishlinskii model with functional nonlinearities. This combination improves the capability of the time dependent Prandtl–Ishlinskii model to characterize a class of complex time dependent hysteresis nonlinearities in smart actuators. The analytical inversion for the proposed time dependent hysteresis model is also presented in order to extend the inversion algorithm of the inverse time dependent Prandtl–Ishlinskii model for a class of complex time dependent hysteresis nonlinearities.     

A Preisach-based hysteresis model for magnetic and ferroelectric hysteresis

In this paper we present a model for hysteretic nonlinearities with non-local memories. This model can be applied to describe hysteretic material behavior. Common applications are ferromagnetic or ferroelectric materials. Our model consists of an analytic function and a Preisach operator. We define a continuous Preisach weight function and introduce a method for the identification of the model parameters. The model parameters are customized to a set of symmetric hysteresis curves. We verify our model for a soft magnetic material, a hard magnetic material and the ferroelectric behavior of some piezoelectric material. After that, non-symmetric curves like the virgin curve are predicted very well by the model. It is especially useful, if forced magnetization or polarization, that appears beyond technical saturation, come into account.     

修正振幅调制的光电混合圆谐联合变换相关器作旋转不变的目标检测

提出一种修正振幅调制的光电混合圆谐联合变换相关器作旋转不变的目标检测的实验系统。参考图像（即圆谐展开分量的实部和虚部）、圆盘状的局部偏置函数以及目标图像同时显示于输入面。此方法对联合功率谱作了修正,先将联合功率谱减去纯输入景物（含局部偏置函数）的功率谱和参考图像（含局部偏置函数）的功率谱,再加上局部偏置函数的功率谱,然后将所得修正的联合功率谱乘以振幅调制滤波函数。这种方法能产生比普通的圆谐联合变换     

基于脉冲耦合神经网络和图像熵的各向异性扩散模型研究

在图像去噪过程中, 大部分基于偏微分方程的各向异性扩散模型均使用梯度信息检测边缘, 当边缘部分被噪声严重污染时, 这些方法不能有效检测出这些边缘, 因而无法保留边缘特征. 为了较完整的保留图像的区域信息, 用脉冲耦合神经网络(PCNN)能使具有相似输入的神经元同时产生脉冲的性质对噪声图像做处理, 得到图像熵序列, 并将图像熵序列作为边缘检测算子引入到扩散方程中, 不仅能克服仅用梯度作为边缘检测算子易受噪声影响的弊端, 而且能较完整地保留图像的区域信息. 然后, 用最小交叉熵准则搜索使去噪前后图像信息量差异最小的阈值, 设计最佳阈值控制扩散强度, 建立基于脉冲耦合神经网络与图像熵改进的各向异性扩散模型(PCNN-IEAD). 分析与仿真结果表明, 该模型与经典模型相比, 保留了更多的图像信息, 能够兼顾去除图像的噪声和保护图像的边缘纹理等细节信息, 较完整的保留了图像的区域信息, 性能指标同样也证实了新模型的优越性. 另外, 该模型的运行时间较经典模型的短, 因此, 该模型是一个理想的模型.     

Questions and answers

The aim of this paper is twofold. First, we shall derive the Fermi-Dirac (FD) and Bose-Einstein (BE) distributions from the classical Maxwell-Boltzmann (MB) distribution by introducing into the classical system the consequences of quantum mechanical indistinguishability in a direct and simple manner. Next, we go through a brief introduction to feedback systems and see how the FD and BE systems may be viewed as classical systems with appropriate feedback. We shall see that the resemblance to feedback systems is more than formal and that a feedback mechanism does exist in systems obeying quantum statistical mechanics.