各向异性介质涂覆曲面导体目标的散射

由于各向异性介质电磁参数为张量形式,使得各向异性介质涂覆导体目标的电磁散射建模和精确计算相当复杂和困难.引入高阶张量阻抗边界条件,可以大大简化建模过程,提高计算效率.论文针对各向异性介质涂覆曲面导体目标,采用基于平面近似的高阶张量阻抗边界条件,将一维二阶张量阻抗边界条件应用于柱面涂覆目标,二维二阶张量阻抗边界条件应用于三维曲面涂覆目标上,建立二者的高阶张量阻抗边界条件解.设计算例仿真,并与精确解/矩量法解比较.通过仿真,研究了各向异性介质涂覆目标电尺寸、涂覆厚度以及目标形状对高阶张量阻抗边界条件解的精度的影响.     

航天器自主姿态控制的正规矩阵设计方法

为满足航天器自主系统的在轨重设计及对重设计结果进行评估的要求,研究了姿态动力学自然特性以及基于结构特性的姿态控制设计方法。证明了挠性航天器姿态动力学传递函数矩阵的正规性,并对惯量矩阵的对角优势性进行了分析。将这两个特性应用于姿态控制设计,分别得到了乘性摄动和逆加摄动不确定性描述下的鲁棒稳定条件。给出了姿态控制的正规矩阵设计方法,而且设计结果的鲁棒性容易检验,适合在自主航天器中应用。对这两种鲁棒稳定条件的比较表明,逆加摄动下的结果可以更好地兼顾各回路的性能要求。     

Analysis of sub-anatomic diffusion tensor imaging indices in white matter regions of Alzheimer with MMSE score

In this study, an attempt has been made to find the correlation between diffusion tensor imaging (DTI) indices of white matter (WM) regions and mini mental state examination (MMSE) score of Alzheimer patients. Diffusion weighted images are obtained from the ADNI database. These are preprocessed for eddy current correction and removal of non-brain tissue. Fractional anisotropy (FA), mean diffusivity (MD), radial diffusivity (RD) and axial diffusivity (DA) indices are computed over significant regions (Fornix left, Splenium of corpus callosum left, Splenium of corpus callosum right, bilateral genu of the corpus callosum) affected by Alzheimer disease (AD) pathology. The correlation is computed between diffusion indices of the significant regions and MMSE score using linear fit technique so as to find the relation between clinical parameters and the image features. Binary classification has been employed using support vector machine, decision stumps and simple logistic classifiers on the extracted DTI indices along with MMSE score to classify Alzheimer patients from healthy controls. It is observed that distinct values of DTI indices exist for the range of MMSE score. However, there is no strong correlation (Pearson's correlation coefficient ‘r’ varies from 0.0383 to −0.1924) between the MMSE score and the diffusion indices over the significant regions. Further, the performance evaluation of classifiers shows 94% accuracy using SVM in differentiating AD and control. In isolation clinical and image features can be used for prescreening and diagnosis of AD but no sub anatomic region correlation exist between these features set. The discussion on the correlation of diffusion indices of WM with MMSE score is presented in this study.     

Semisupervised Sparse Multilinear Discriminant Analysis

Various problems are encountered when adopting ordinary vector space algorithms for high-order tensor data input. Namely, one must overcome the Small Sample Size （SSS） and overfitting problems. In addition, the structural information of the original tensor signal is lost during the vectorization process. Therefore, comparable methods using a direct tensor input are more appropriate. In the case of electrocardiograms （ECGs）, another problem must be overcome; the manual diagnosis of ECG data is expensive and time consuming, rendering it difficult to acquire data with diagnosis labels. However, when effective features for classification in the original data are very sparse, we propose a semisupervised sparse multilinear discriminant analysis （SSSMDA） method. This method uses the distribution of both the labeled and the unlabeled data together with labels discovered through a label propagation Mgorithm. In practice, we use 12-lead ECGs collected from a remote diagnosis system and apply a short-time-fourier transformation （STFT） to obtain third-order tensors. The experimental results highlight the sparsity of the ECG data and the ability of our method to extract sparse and effective features that can be used for classification.     

运动介质球的瑞利散射特性研究

基于电磁场的多尺度理论和相对论理论,得到了高速运动目标散射场的表达式。以各向同性介质球、单轴介质球为例,研究了微分散射随目标运动速度、电磁参数张量的变化。结果表明:前向散射随速度的增大而增大,后向散射则相反;对单轴介质目标而言,非光轴方向的介电常数、光轴方向上的磁导率对散射有着较大的影响,光轴方向的介电常数、非光轴方向的磁导率对散射的影响不大。     

任意三维非共形椭球隐身斗篷的设计研究

目前,对于隐身斗篷的研究只局限于内外边界共形,基于线性坐标变换理论,提出任意三维非共形椭球隐身斗篷的设计方法,并得到非共形椭球斗篷的本构参数张量表达式,该斗篷的本构参数是非均匀各向异性的。根据推导出的本构参数张量,利用基于有限元分析的电磁仿真软件,对多种类型电磁波照射时的不同几何参量的非共形椭球斗篷进行三维仿真验证,三维电场分布图证实了所推导本构参数张量的正确性。三维任意非共形椭球斗篷在几何形状选择上更加灵活,更加贴合实际应用。提出的三维任意非共形椭球斗篷也为今后隐身斗篷的设计提供一种新的途径。     

An anisotropic damage-based plastic yield criterion and its application to analysis of metal forming process

Based on the continuum damage mechanics (CDM), both the total damage growth force and the damage equivalent stress has been firstly derived. Material and damage are considered to be anisotropic in this theoretical model. A new damage-based plastic yield criterion, where the damage equivalent stress is taken as the yield function, and the corresponding damage evolution equation has been established. A relation between the damage variable and the plastic deformation has been proposed. This relation can be applied to obtain the damage history in terms of Moiré photo-mechanics technology in this work. In addition, from the anisotropic damage-based plastic yield criterion presented, the large-scale finite element codes ABAQUS/Explicit in conjunction with the damage experimental results has been then used to calculate some mechanical variable fields in metal forming process. It has finally been verified that the position corresponding to the maximum value in damage equivalent stress field accurately coincides with the initial place of macro-crack given by Erichsen cupping tests carried out by authors.     

Numerical study on the electromechanical behavior of dielectric elastomer with the influence of surrounding medium

The considerable electric-induced shape change, together with the attributes of lightweight, high efficiency, and inexpensive cost, makes dielectric elastomer, a promising soft active material for the realization of actuators in broad applications. Although, a number of prototype devices have been demonstrated in the past few years, the further development of this technology necessitates adequate analytical and numerical tools. Especially, previous theoretical studies always neglect the influence of surrounding medium. Due to the large deformation and nonlinear equations of states involved in dielectric elastomer, finite element method (FEM) is anticipated; however, the few available formulations employ homemade codes, which are inconvenient to implement. The aim of this work is to present a numerical approach with the commercial FEM package COMSOL to investigate the nonlinear response of dielectric elastomer under electric stimulation. The influence of surrounding free space on the electric field is analyzed and the corresponding electric force is taken into account through an electric surface traction on the circumstances edge. By employing Maxwell stress tensor as actuation pressure, the mechanical and electric governing equations for dielectric elastomer are coupled, and then solved simultaneously with the Gent model of stain energy to derive the electric induced large deformation as well as the electromechanical instability. The finite element implementation presented here may provide a powerful computational tool to help design and optimize the engineering applications of dielectric elastomer.     

裂缝性砂岩油藏流固耦合渗流的等效介质模型

根据等效思想 ,给出了裂缝性砂岩油藏等效渗透率张量和变形场等效力学参数的计算方法 ,建立了油藏渗流和变形的等效连续介质模型 ;通过分析渗透率与应变之间的耦合关系 ,得到了裂缝性砂岩油藏流固耦合渗流计算的数学模型 ,并给出了计算方法。实例应用验证了所建模型的正确性。研究成果对认识裂缝性砂岩油藏的渗流规律有重要意义