磁场对铁磁结构动态特性的影响

研究了两种铁磁材料结构(板梁和圆柱壳)在不同的磁场下固有频率的变化。频谱分析仪产生的扫频正弦信号通过压电陶瓷片对试件进行激励;压电薄膜作为感知元件再把感知信号送回频谱分析仪。根据共振原理,从频谱分析仪的频率响应曲线可以得到试件的各阶固有频率。通过改变外加磁场的大小,用同样的方法可以得到不同磁场下的固有频率。实验结果表明,铁磁板梁固有频率的变化很大程度上依赖于所施加磁场的方向:当磁场顺着板梁的长度方向时,板梁的固有频率会随着外加磁场的增大而增大;然而当磁场施加在板梁的厚度方向时,固有频率是先降低然后再升高。对铁磁材料圆柱壳,当磁场顺着圆柱壳的轴线方向增大时固有频率是逐渐增大然后达到一个饱和值。     

恒磁场作用下压磁/压电半导体复合圆柱壳的耦合响应分析

本文针对由压磁材料和压电半导体材料组成的无限长复合圆柱壳结构,理论研究了其在径向恒磁场作用下结构内的多场耦合力学响应问题。为解析求解方便,文中分别采用单向耦合法和线性全耦合法,导出复合圆柱壳内位移场、电场、载流子等物理量的解析表达式。利用导出的解析表达式,数值分析了磁场大小和半导体层厚度比对结构内电势、电场和载流子的影响。计算结果表明：磁场和厚度比均可用来有效调控半导体层内的电学量,复合圆柱壳结构的厚度比有一个最优区间。     

恒磁场作用下压磁/压电半导体复合圆柱壳的耦合响应分析

本文针对由压磁材料和压电半导体材料组成的无限长复合圆柱壳结构,理论研究了其在径向恒磁场作用下结构内的多场耦合力学响应问题。为解析求解方便,文中分别采用单向耦合法和线性全耦合法,导出复合圆柱壳内位移场、电场、载流子等物理量的解析表达式。利用导出的解析表达式,数值分析了磁场大小和半导体层厚度比对结构内电势、电场和载流子的影响。计算结果表明：磁场和厚度比均可用来有效调控半导体层内的电学量,复合圆柱壳结构的厚度比有一个最优区间。     

压电式微滴按需喷射的过程控制和规律

微滴喷射增材制造技术中沉积微滴的大小与均匀性是影响成型件质量的关键因素.本文设计了一种用于生成均匀微滴的压电驱动式微滴喷射装置,通过压电材料带动柔性膜片振动,将液体从喷嘴中喷出生成微滴,采用数值模拟和实验相结合的方法,研究了不同控制参数下膜片振幅及其对生成微滴尺寸和均匀性的影响.研究结果表明:膜片振幅大小受到驱动电压和压电频率的共同影响,压电频率是导致膜片中心点振幅实验测量值小于理论计算值的主要原因,膜片振动会导致喷嘴内部压力发生变化从而影响微滴生成尺寸.在相同驱动电压条件下,压电频率为10 Hz时存在压电膜片振幅最大值.随着膜片振幅的增大,喷孔处液体速度和液柱长度增大到临界值时可以生成微滴,当喷孔处的液柱长度超过临界值时,会形成卫星液滴. 当膜片振幅区间在30 $\mu$m$\sim $42 $\mu $m可以稳定生成微滴,生成最小微滴尺寸为339.8$\mu$m,直径最大变化率为0.29%,相邻两微滴间距最大变化率为2.67%,生成微滴的尺寸及均匀性较好.研究结果有助于提高压电式微滴喷射装置的液滴生成质量.      

压电式微滴按需喷射的过程控制和规律

微滴喷射增材制造技术中沉积微滴的大小与均匀性是影响成型件质量的关键因素.本文设计了一种用于生成均匀微滴的压电驱动式微滴喷射装置,通过压电材料带动柔性膜片振动,将液体从喷嘴中喷出生成微滴,采用数值模拟和实验相结合的方法,研究了不同控制参数下膜片振幅及其对生成微滴尺寸和均匀性的影响.研究结果表明:膜片振幅大小受到驱动电压和压电频率的共同影响,压电频率是导致膜片中心点振幅实验测量值小于理论计算值的主要原因,膜片振动会导致喷嘴内部压力发生变化从而影响微滴生成尺寸.在相同驱动电压条件下,压电频率为10 Hz时存在压电膜片振幅最大值.随着膜片振幅的增大,喷孔处液体速度和液柱长度增大到临界值时可以生成微滴,当喷孔处的液柱长度超过临界值时,会形成卫星液滴.当膜片振幅区间在30μm～42μm可以稳定生成微滴,生成最小微滴尺寸为339.8μm,直径最大变化率为0.29%,相邻两微滴间距最大变化率为2.67%,生成微滴的尺寸及均匀性较好.研究结果有助于提高压电式微滴喷射装置的液滴生成质量.     

三相多重铁性复合材料的有效磁电弹性模量预测

采用平均场Mori-Tanaka模型,计算了三相复合材料的有效磁电弹性模量,研究了复合材料磁电系数与微观结构之间关系;结果表明掺杂相的体积分数与颗粒形状系数对复合材料的有效磁电系数有很大的影响,这些结果可为复合材料的实验设计提供理论参考和指导.     

磁电弹板双材料板中厚度-扭曲波的传播

研究了磁电弹双材料板(板的上下表面是机械自由、电学开路和磁学短路的)中厚度-扭曲波的传播. 基于磁电弹全耦合的本构方程, 首先推导了厚度扭曲波传播的一般解, 然后利用边界条件和界面条件得到了频率方程. 数值算例分析了压电(BaTiO_{3})-压磁(CoFe_{2}O_{4})双材料板中厚度扭曲波传播时, 位移、电势和磁势的变化特征以及模态数与几何尺寸的关系.      

压电/压磁层合纳米梁屈曲及自由振动的研究

针对压电/压磁层合纳米梁屈曲、自由振动问题,基于非局部理论与正弦剪切型变形梁理论,建立了力学模型;利用哈密顿原理推导出层合梁运动方程与边界条件;通过数值解法求得层合梁临界屈曲载荷与自由振动频率。对数值结果分析可知:磁电弹夹层对压电/压磁层合纳米梁屈曲和自由振动的影响不能忽略;磁电弹夹层中压电或压磁材料的体积分数和夹层厚度为主要影响因素;分析得到的影响规律可为此类材料在工程中的应用提供理论参考。     

BUCKING AND FREE VIBRATION OF PIEZOELECTRIC/PIEZOMAGNETIC LAMINATED NANO-BEAM 1)

针对压电/压磁层合纳米梁屈曲、自由振动问题,基于非局部理论与正弦剪切型变形梁理论,建立了力学模型;利用哈密顿原理推导出层合梁运动方程与边界条件;通过数值解法求得层合梁临界屈曲载荷与自由振动频率。对数值结果分析可知：磁电弹夹层对压电/压磁层合纳米梁屈曲和自由振动的影响不能忽略;磁电弹夹层中压电或压磁材料的体积分数和夹层厚度为主要影响因素;分析得到的影响规律可为此类材料在工程中的应用提供理论参考。     

埋入式压电陶瓷的尺寸对其电-声特性的影响

首次通过Ansys软件仿真的方法分析了不同厚度压电陶瓷(半径保持不变)埋入混凝土进行超声检测时压电陶瓷电-声特性的变化规律。研究表明:单层压电陶瓷在厚度h小于1mm时,最大振幅对应的谐振频率变化趋势会出现拐点,不再单调变化;厚度h大于1mm时,压电陶瓷的谐振频率随着厚度的改变呈现相应规律性,在相应谐振频率激励下压电陶瓷辐射超声波中心点的声压值变化规律与谐振频率的规律相反。     

Nonlinear magneto-electric response of a giant magnetostrictive/piezoelectric composite cylinder

In this study,we investigate the nonlinear coupling magneto-electric(ME) effect of a giant magnetostrictive/piezoelectric composite cylinder.The nonlinear constitutive relations of the ME material are taken into account,and the influences of the nonlinear material properties on the ME effect are investigated for the static and dynamic cases,respectively.The influences of different constraint conditions on the ME effect are discussed.In the dynamic case considering nonlinear material properties,the double frequency ME response(The response frequency is twice the applied magnetic frequency) is obtained and discussed,which can be used to explain the experiment phenomenon in which the input signal with frequency f is converted to the output signal with 2 f in ME laminated structures.Some calculations on nonlinear ME effect are conducted.The obtained results indicate that the nonlinear material properties affect not only the magnitude of the ME effect in the static case but also the ME response frequency in the dynamic case.     

超磁致伸缩材料的擦除特性和同余特性实验研究

超磁致伸缩材料在力磁耦合作用下具有复杂的迟滞响应。Preisach模型可有效描述物理过程中的滞后现象,它具有两个重要特性,即擦除特性和同余特性。擦除特性是指输入局部极大值擦除了加载过程中小于该值的所有极大值,或输入局部极小值擦除了加载过程中大于该值的所有极小值,同时,与这些历史极值相应的加载历史也被擦除,不再影响之后的输出。同余特性是指输入极大值与极小值相同的所有闭合曲线一致。本文通过实验系统地研究了超磁致伸缩材料在多轴力磁耦合场作用下的磁致伸缩曲线、磁滞回线和应力应变的迟滞行为,发现其在力磁耦合下的非线性滞后行为具有擦除特性和同余特性。这满足了Preisach模型描述滞后现象的两个基本要求,验证了利用Preisach模型描述超磁致伸缩材料迟滞行为的可行性,为超磁致伸缩材料的非线性理论和器件设计提供了依据。     

Numerical simulation on coupling behavior of Terfenol-D rods

Terfenol-D rods, as a kind of giant magnetostrictive materials, are often used as active elements of device for anti-vibration application due to its superior material properties. Their magneto-mechanical responses exhibited in many experiments are nonlinear and coupled. In order to have a good understanding on their coupling characters for accurate control, the numerical simulation on dynamic behavior of a Terfenol-D rod is conducted based on a nonlinear and coupling constitutive model proposed in this paper. The results show that the constitutive model can effectively describe some intrinsic coupling phenomena observed by experiments involving the maximum magnetostrictive strain of a Terfenol-D rod changing with pre-stresses and the corresponding dynamic responses show that the frequency and the amplification of the Terfenol-D rod change with magnetic bias field and pre-stresses, which are also consistent with experimental data and cannot be captured by previous constitutive model.     

磁致伸缩材料的非线性本构关系

给出了磁致伸缩材料的两个非线性本构关系,即标准平方型和双曲正切型。在确定一维问题的本构系数时,基于已有的实验结果,引进一个材料函数,用来描述磁致伸缩材料的压磁系数随预应力变化的关系。将非 线性本构关系的理论模型计算结果与实验曲线对比,结果表明标准平方型本构关系在中低磁场下能精确地模拟实验曲线,而双曲正切型本构关系在高磁场时能反映材料的磁致应变饱和现象。讨论了在标准平方型本构的一般三维情形,给出了确定本构系数的方法。     

VIBRATION SUPPRESSION OF CANTILEVER LAMINATED COMPOSITE PLATE WITH NONLINEAR GIANT MAGNETOSTRICTIVE MATERIAL LAYERS

In this paper, a nonlinear and coupled constitutive model for giant magnetostrictive materials(GMM) is employed to predict the active vibration suppression process of cantilever laminated composite plate with GMM layers. The nonlinear and coupled constitutive model has great advantages in demonstrating the inherent and complicated nonlinearities of GMM in response to applied magnetic field under variable bias conditions(pre-stress and bias magnetic field).The Hamilton principle is used to derive the nonlinear and coupled governing differential equation for a cantilever laminated composite plate with GMM layers. The derived equation is handled by the finite element method(FEM) in space domain, and solved with Newmark method and an iteration process in time domain. The numerical simulation results indicate that the proposed active control system by embedding GMM layers in cantilever laminated composite plate can efficiently suppress vibrations under variable bias conditions. The effects of embedded placement of GMM layers and control gain on vibration suppression are discussed respectively in detail.     

EXPERIMENTAL RESEARCHES ON MAGNETO-THERMO-MECHANICAL CHARACTERIZATION OF TERFENOL-D

The coupling effects of axial pre-stress,temperature and magnetic field on magne- tostrictive strain and magnetization as well as Young's modulus of a Terfenol-D (Tb_(0.3)Dy_(0.7)Fe_(1.93)) rod are tested to give a good understanding of magneto-thermal-mecha-nical characteristics of giant magnetostrictive materials.Results show that magneto-thermo-mechanical coupling of gi- ant magnetostrictive materials is very strong;and the influences of pre-stress and temperature on magnetostrictive strain and Young's modulus vary with the intensity of magnetic field.     

Surface effect on band structure of magneto-elastic phononic crystal nanoplates subject to magnetic and stress loadings

This paper presents a theoretical model for the size-dependent band structure of magneto-elastic phononic crystal(PC) nanoplates according to the Kirchhoff plate theory and Gurtin-Murdoch theory, in which the surface effect and magneto-elastic coupling are considered. By introducing the nonlinear coupling constitutive relation of magnetostrictive materials, Terfenol-D/epoxy PC nanoplates are carried out as an example to investigate the dependence of the band structure on the surface effect, magn...     

超磁致伸缩换能器耦合磁弹性模型与振动特性分析

针对应用于非圆车削加工的超磁致伸缩换能器,建立了其耦合磁弹性动力学模型与复系数动力学微分方程,基于实验建立的激励电流磁致伸缩材料轴向位移-磁场强度三者之间的关系式,得到了换能器磁力-位移关系的磁动方程的解析解,分析了系统的频响特性及不同频率下,激励电流与换能器输出位移之间的滞回关系,对现有磁场-电流公式进行了修正,讨论...     

界面及热残余应力对超磁致伸缩复合材料有效性能的影响

本文基于Mori-Tanaka理论，考虑了界面相对超磁致伸缩复合材料的有效性能的影响，得到了具有界面相的超磁致伸缩复合材料的有效性能的一般解析表达。考虑到固化过程中热残余应力对超磁致伸缩复合材料有效性能的影响，通过数值计算，给出超磁致伸缩复合材料有效弹性模量、有效磁致伸缩应变及有效热膨胀系数随夹杂物长径比、体分比、界面参数和固化热残余应力的变化特征曲线，数值结果表明：界面和固化热残余应力对于超磁致复合材料有效性能的影响是显著的。     

A nonlinear constitutive model for magnetostrictive materials

A general nonlinear constitutive model is proposed for magnetostrictive materials, based on the important physical fact that a nonlinear part of the elastic strain produced by a pre-stress is related to the magnetic domain rotation or movement and is responsible for the change of the maximum magnetostrictive strain with the pre-stress. To avoid the complicity of determining the tensor function describing the nonlinear elastic strain part, this paper proposes a simplified model by means of linearizing the nonlinear function. For the convenience of engineering applications, the expressions of the 3-D (bulk), 2-D (film) and 1-D (rod) models are, respectively, given for an isotropic material and their applicable ranges are also discussed. By comparison with the experimental data of a Terfenol-D rod, it is found that the proposed model can accurately predict the magnetostrictive strain curves in low, moderate and high magnetic field regions for various compressive pre-stress levels. The numerical simulation further illustrates that, for either magnetostrictive rods or thin films, the proposed model can effectively describe the effects of the pre-stress or residual stress on the magnetization and magnetostrictive strain curves, while none of the known models can capture all of them. Therefore, the proposed model enjoys higher precision and wider applicability than the previous models, especially in the region of the high field.The project supported by the National Natural Science Foundation of China (10132010 and 90405005)