基于反射与折射理论的电涡流检测探头阻抗解析模型

应用电磁波的反射与折射理论建立了多层导电结构电涡流检测探头阻抗解析模型.电涡流检测中空间电磁场可看作线圈激励场与涡流场的叠加,而涡流场是线圈激励场的反射与折射效应,因此应用线圈激励场的级数型解析解和电磁波的反射与折射理论推导了级数型探头阻抗解析解.最后,比较了推导的级数型与传统的积分型探头阻抗解析解的计算结果,并进行了实验验证.计算结果与实验结果基本吻合,表明推导的级数型探头阻抗解析解是正确的,且与积分解析解相比具有不需要确定积分上限、耗时少、计算精度容易控制等优点. 关键词： 电涡流检测 多层导电结构 反射与折射理论 探头阻抗     

有限元-边界法在光电目标散射计算中的应用

为了解决三维目标电磁散射计算中准确性与有效性的矛盾,建立了有限元-边界法的计算模型,对三维腔体目标的电磁散射计算方法进行了研究。首先,分析了针对三维电磁腔体目标的电磁散射计算边界积分方法,引入了矢量格林函数,利用麦克斯韦方程得到电磁场形式与三维腔体形式的关系,建立了三维开口腔体边界模型;然后,结合光电目标曲面建模方法及高阶基函数的方法,建立了三维光电目标的有限元泛函,完成了有限元-边界法在三维腔体目标电磁散射计算中的应用;最后,进行了实例验证。分析显示,当三维腔体内部为空或为各向异性物质时,角度吻合非常理想,与传统模式匹配法所得结果的吻合度达90%以上。结果表明,采用本方法对三维腔体目标进行电磁散射计算,准确度、效率均有所提高。     

5 kVA高温超导变压器双饼线圈不同有限元模型对比分析

本文基于5 kVA 高温超导变压器的高压绕组双饼线圈, 运用有限元软件, 完成了均质化建模. 相比于全模型, 采用均质化模型不仅不影响计算精度, 而且大大减少了计算时间, 同时能够快速有效地计算出双饼线圈的磁场分布、 电流密度分布以及线圈交流损耗. 为了验证双饼线圈有限元计算模型的正确性, 本文进行了 H 方程全模型、H 方程均质化模型、T-A 方程全模型及T-A 方程均质化模型下的对比仿真分析. 仿真结果的一致性表明了双饼线圈有限元计算模型的正确性. 本文为后续基于T-A 方程下高温超导变压器均质化模型的研究提供了参考.     

线圈自感、互感问题的数值仿真教学案例研究

本文将大学物理电磁感应部分中的线圈自感互感教学内容引入数值仿真案例教学设计:团队在教学中引导学生借助有限元仿真软件,分别从线圈匝数、通入电流以及线圈小半径三个方面对单线圈自感以及双线圈互感进行数值仿真研究;用控制变量法在三个不同的模型中研究线圈自感系数和互感系数的变化。学生通过测得仿真计算获得系统的总磁能,然后反推获得线圈的自感系数和互感系数,从而了解线圈自感系数和互感系数与线圈各项参数之间的关系。     

动磁式直线压缩机电磁特性分析及实验

设计开发了一种动磁式直线压缩机样机,利用磁路分析法对直线压缩机的静态特性进行定性分析,得到了电磁力、磁链关于电流、位移以及直线振荡电机结构参数之间的函数关系.又利用电磁场的二维有限元参数化分析进行定量分析,精确计算了不同位置和电流下的电磁力和磁链.修正了磁路分析的计算结果.为研究其动态特性,将有限元静态分析与状态方程法相结合,建立了动力学模型,并利用4阶Runge-Kutta法求解状态方程.实验证明,此动态特性仿真方法是有效的,样机的性能能够满足冰箱压缩机的前求.     

基于二阶矢量位的矩形截面回折线圈阻抗和脉冲磁场的解析建模与计算

本文基于二阶矢量位建立了回折线圈的阻抗和磁场计算的解析模型,并提出了计算磁场脉冲响应的方法.根据回折线圈用于涡流检测和电磁超声检测时的通用模型,将回折线圈的阻抗和磁场计算问题转化为多个单匝矩形线圈阻抗和磁场的叠加问题.基于二阶矢量位和时谐电磁场方程,推导了回折线圈的频域标势表达式;利用标势与矢量磁位和磁通密度间的关系,推导了计算区域的磁通密度和式样表面涡流的频域解析计算公式;通过计算线圈的感应电势和阻抗变化表达式,得到了线圈阻抗的频域解析表达式;采用FFT-IFFT方法计算了脉冲磁场的时域响应.以一双层双 关键词： 无损检测 回折线圈 二阶矢量位 解析建模     

基于特征基函数的球面共形微带天线阵列分析

采用全波分析法对球面共形微带天线阵列进行了分析.相比体-面积分方程,采用球并矢格林函数的面积分方程法可以大幅减少未知量的数目,进而缓解计算机内存压力.微带天线阵列表面采用曲面三角形剖分,可较精确地模拟球面特性.首先,引入边界电荷以及半Rao-Wilton-Glisson基函数,成功实现了探针馈电,并采用镜像法解决了馈电边处线积分奇异问题.然后,采用特征基函数法降低了阻抗矩阵的阶数,并采取有效措施进一步节省内存和计算时间.最后,分析计算了不同尺寸的球面共形微带天线阵列的输入阻抗及远区场特性.与文献和仿真软件结果进行比较,证明了所提出的处理方法的正确性和有效性.     

微穿孔板吸声结构仿真计算方法研究

本文提出将马氏微穿孔板理论与传递导纳法相结合,建立简化的微穿孔板吸声结构的有限元仿真计算方法。基于阻抗管法材料吸声系数测试原理建立了吸声系数仿真实验模型,对微穿孔板结构的吸声系数进行了仿真计算,并与理论计算结果做了对比,说明了该简化方法的合理可行。同时,对金属和非金属材料的微穿孔板计算时温度传导系数的影响做了比较说明。     

超导线圈低/变温热膨胀系数预测与实验

为表征超导线圈低/变温环境热膨胀系数，首先基于细观力学有限元方法建立了超导线圈代表性体积元模型，并利用多项式函数赋予材料属性进一步完成低/变温环境热膨胀系数有限元预测，通过复合律公式计算出理论值验证了有限元模型的准确性。其次，基于应变片测量热膨胀系数的原理，搭建了超导线圈低/变温热膨胀系数测量系统，最后，针对常规材料热膨胀系数进行了实验测量，验证了搭建系统的可靠性。进一步地，基于上述基础表征研究，开展了超导线圈相关低温测量的实验研究，得到了极端低/变温环境下超导线圈热应变、热膨胀系数与温度之间明显的非线性关系，且实验测试结果与理论值吻合良好。该数值模型、实验方法与测试系统的成功发展一方面丰富了极端环境下材料热膨胀系数的表征方法，另一方面，将为我国各类大型超导磁体结构设计、制备与实验提供重要参数与热-力学基础测试平台。     

Chodorow型耦合腔慢波结构色散特性和耦合阻抗理论分析

本文建立了Chodorow型耦合腔慢波结构的解析模型, 利用并矢格林函数结合矩量法求解了场匹配方程, 给出了色散方程和耦合阻抗的计算式, 并数值计算出一个X波段Chodorow型慢波结构的高频特性. 结果表明, 本文方法的色散特性以及耦合阻抗与仿真软件HFSS计算的结果有很好的一致性, 且计算效率更高, 同时精度远高于等效电路法, 对工程设计有好的参考价值. 关键词： Chodorow型耦合腔慢波结构 色散特性 耦合阻抗 场匹配     

Vibration modelling of helical springs with non-uniform ends

Helical springs constitute an integral part of many mechanical systems. Usually, a helical spring is modelled as a massless, frequency independent stiffness element. For a typical suspension spring, these assumptions are only valid in the quasi-static case or at low frequencies. At higher frequencies, the influence of the internal resonances of the spring grows and thus a detailed model is required. In some cases, such as when the spring is uniform, analytical models can be developed. However, in typical springs, only the central turns are uniform; the ends are often not (for example, having a varying helix angle or cross-section). Thus, obtaining analytical models in this case can be very difficult if at all possible. In this paper, the modelling of such non-uniform springs are considered. The uniform (central) part of helical springs is modelled using the wave and finite element (WFE) method since a helical spring can be regarded as a curved waveguide. The WFE model is obtained by post-processing the finite element (FE) model of a single straight or curved beam element using periodic structure theory. This yields the wave characteristics which can be used to find the dynamic stiffness matrix of the central turns of the spring. As for the non-uniform ends, they are modelled using the standard finite element (FE) method. The dynamic stiffness matrices of the ends and the central turns can be assembled as in standard FE yielding a FE/WFE model whose size is much smaller than a full FE model of the spring. This can be used to predict the stiffness of the spring and the force transmissibility. Numerical examples are presented.     

轴对称高场超导磁体电磁应力有限元分析方法

核磁共振成像和核磁共振谱仪是高场超导磁体的主要应用领域.高场超导磁体通常具有较高的磁场和运行电流,在运行过程中超导线会产生较高的电磁应力,其临界特性将发生退化,影响磁体的稳定性.开展高场超导磁体的电磁应力精确分析显得尤为必要.本文发展了一种快速有效的有限元分析方法,第一步,为整个超导磁体系统建立平均有限元模型,采用传统的电磁-结构耦合方法求解电磁应力,获得最大应力位置;第二步,对最大应力所在的超导线圈建立详细有限元模型,采用单积分-结构分析方法精确求解每一组分中电磁应力.基于该模型研究了500 MHz NMR超导磁体的电磁应力.该分析方法也可以用于超导磁体冷却过程中的热应力分析.为高场超导磁体设计和建造提供有益的理论依据.     

Finite element approach to acoustic transmission-radiation systems and application to horn and silencer design

The present paper deals with acoustical systems with an opening to semi-infinite space for sound radiation. The approach is a combination of the finite element method and the analytical method. The finite element approach is used for the hollow internal space, while the analytical approach is utilized for the open semi-infinite space. The semi-infinite space is expressed in terms of an integral with respect to the opening surface (Green's theorem). Compatibility conditions are then introduced for the interface boundary. The region to which the finite element analysis is to be applied is thus greatly reduced at the expense of additional numerical integration. A computer program is developed and, for numerical demonstration, calculations of some characteristics of conical and exponential horns, and of a practical speaker device with central post and silencers are considered. Comparisons with the measured results confirm the validity of the approach.     

Analysis of wave propagation in a thin composite cylinder with periodic axial and ring stiffeners using periodic structure theory

Wave propagation characteristics of a thin composite cylinder stiffened by periodically spaced ring frames and axial stringers are investigated by an analytical method using periodic structure theory. It is used for calculating propagation constants in axial and circumferential directions of the cylindrical shell subject to a given circumferential mode or axial half-wave number. The propagation constants corresponding to several different circumferential modes and/or half-wave numbers are combined to determine the vibrational energy ratios between adjacent basic structural elements of the two-dimensional periodic structure. Vibration analyses to validate the theoretical development have been carried out on sufficiently detailed finite element model of the same dimension and configuration as the stiffened cylinder and very good agreement is obtained between the analytical and the dense finite element results. The effects of shell material properties and the length of each periodic element on the wave propagation characteristics are also examined based on the current analytical approach.     

垂直纵槽管强化膜状冷凝换热研究

用数值方法对饱和蒸汽在纵槽管表面的冷凝换热性能进行了研究。以发展段为主要研究对象,对模型进行了适当的简化,建立了液膜的基本方程,并与二维导热方程耦合,用Runge-Kutta法和有限元法解方程,通过迭代,分别得到了传热量以及最大液膜厚度与坐标z的关系式。最后用文中的分析方法,研究了制冷剂R-113在余弦形纵槽管上的冷凝,并与文献中的实验值做了对比。结果表明,纵槽管的长度(无除液盘时)或除液盘间距应小于最大有效管长,以便纵槽管在温差较大时仍具有较好的换热效果;在温差较小时,数值分析结果与文献中的实验数据吻合较好,证明本文的分析方法具有可行性。     

Time-domain analyses of acoustics-structure interactions for piezoelectric transducers.

Piezoelectric transducers coupled with a surrounding medium are analyzed in time domain using the coupled finite element and boundary element method. Three-dimensional solid elements are employed to model the piezoelectric transducer, while the surrounding medium is described by the boundary integral equation and the boundary of the medium is modeled by two-dimensional spatial elements. Verification studies were conducted to evaluate the accuracy and convergence of the present numerical algorithm and they show that the present numerical solutions agree well with the analytical ones. The influence of the surrounding medium on the acoustic field is studied. The interaction between the structure and surrounding medium affects the structure dynamic performances and acoustic pressure distributions significantly. However, in the present study we show that the radiation directivity is insignificantly influenced by the surrounding medium.     

A finite element method for analysis of vibration induced by maglev trains

This paper developed a finite element method to perform the maglev train–bridge–soil interaction analysis with rail irregularities. An efficient proportional integral (PI) scheme with only a simple equation is used to control the force of the maglev wheel, which is modeled as a contact node moving along a number of target nodes. The moving maglev vehicles are modeled as a combination of spring-damper elements, lumped mass and rigid links. The Newmark method with the Newton–Raphson method is then used to solve the nonlinear dynamic equation. The major advantage is that all the proposed procedures are standard in the finite element method. The analytic solution of maglev vehicles passing a Timoshenko beam was used to validate the current finite element method with good agreements. Moreover, a very large-scale finite element analysis using the proposed scheme was also tested in this paper.     

A MEMS Tunable Optical Ring Resonator Filter

In this work, a new architecture for a ring resonator tunable optical filter is proposed. In this architecture, two rings are connected to each other by a directional coupler and tuning is achieved through the control of the separation between the coupler two parallel guides using a micro-electro-mechanical systems (MEMS) actuator. The optical performance of the filter is tested using the FDTD and an analytical model is developed to predict its performances. A good agreement between the analytical and numerical results is obtained. The MEMS design is also presented and verified using an finite element method (FEM) analysis.     

A spectral finite element for analysis of wave propagation in uniform composite tubes

A spectral finite element model (SFEM) for analysis of coupled broadband wave propagation in composite tubular structure is presented. Wave motions in terms of three translational and three rotational degrees of freedom at tube cross-section are considered based on first order shear flexible cylindrical bending, torsion and secondary warping. Solutions are obtained in wavenumber space by solving the coupled wave equation in 3-D. An efficient and fully automated computational strategy is developed to obtain the wavenumbers of coupled wave modes, spectral element shape function, strain-displacement matrix and the exact dynamic stiffness matrix. The formulation emphasizes on a compact matrix methodology to handle large-scale computational model of built-up network of such cylindrical waveguides. Thickness and frequency limits for application of the element is discussed. Performance of the element is compared with analytical solution based on membrane shell kinematics. A map of the distribution of vibrational modes in wavelength and time scales is presented. Effect of fiber angle on natural frequencies, phase and group dispersions are also discussed. Numerical simulations show the ease with which dynamic responses can be obtained efficiently. Parametric studies on a clamped-free graphite-epoxy composite tube under short-impulse load are carried out to obtain the effect of various composite configurations and tube geometries on the response.     

Dynamic response of doubly curved honeycomb sandwich panels to random acoustic excitation. Part 2: Theoretical study

In this paper a single-degree-of-freedom model is developed to predict the dynamic response of an acoustially excited doubly curved sandwich panel. Three variants of the model are investigated, based on differing assumptions regarding the spatial distribution of the applied loading. When the loading is assumed to be uniform then the model reduces to the Miles approach, and when the loading is assumed to conform to the structural mode shape then the method is very similar to the Blevins approach. The third variant involves a more detailed consideration of the travelling wave characteristics of the applied loading, and this is found to give much improved agreement with experimental results obtained in a progressive wave tube facility. In addition, an approach using the finite element method is presented in which the response to grazing incidence excitation is computed, and this is also found to yield good agreement with the experimental results.