Comparative study on adaptive rational macromodels of highly resonant structures

Two macromodeling techniques using rational bases are investigated to accurately predict the natural frequencies of highly resonant microwave structures. Three methods are proposed and compared to calculate pole‐free solutions to the Thiele continued fraction and vector fitting pole‐residue models of the characteristic equation det[Z(s)]. © 2007 Wiley Periodicals, Inc. Int J RF and Microwave CAE, 2007.     

Diffusion tensor interpolation profile control using non-uniform motion on a Riemannian geodesic

Tensor interpolation is a key step in the processing algorithms of diffusion tensor imaging (DTI), such as registration and tractography. The diffusion tensor (DT) in biological tissues is assumed to be positive definite. However, the tensor interpolations in most clinical applications have used a Euclidian scheme that does not take this assumption into account. Several Rie-mannian schemes were developed to overcome this limitation. Although each of the Riemannian schemes uses different metrics, they all result in a ‘fixed’ interpolation profile that cannot adapt to a variety of diffusion patterns in biological tissues. In this paper, we propose a DT interpolation scheme to control the interpolation profile, and explore its feasibility in clinical applications. The profile controllability comes from the non-uniform motion of interpolation on the Riemannian geodesic. The interpolation experiment with medical DTI data shows that the profile control improves the interpolation quality by assessing the reconstruction errors with the determinant error, Euclidean norm, and Riemannian norm.     

A new hybrid approach for dynamic continuous optimization problems

A new hybrid approach for dynamic optimization problems with continuous search spaces is presented. The proposed approach hybridizes efficient features of the particle swarm optimization in tracking dynamic changes with a new evolutionary procedure. In the proposed dynamic hybrid PSO (DHPSO) algorithm, the swarm size is varied in a self-regulatory manner. Inspired from the microbial life, the particles can reproduce infants and the old ones die. The infants are especially reproduced by high potential particles and located near the local optimum points, using the quadratic interpolation method. The algorithm is adapted to perform in continuous search spaces, utilizing continuous movement of the particles and using Euclidian norm to define the neighborhood in the reproduction procedure. The performance of the new proposed approach is tested against various benchmark problems and compared with those of some other heuristic optimization algorithms. In this regard, different types of dynamic environments including periodic, linear and random changes are taken with different performance metrics such as real-time error, offline performance and offline error. The results indicate a desirable better efficiency of the new algorithm over the existing ones.     

Polynomial approximation of functions of matrices and applications

In solving a mathematical problem numerically, we frequently need to operate on a vector by an operator that can be expressed asf(A), whereA is anN ×N matrix [e.g., exp(A), sin(A), A^–-]. Except for very simple matrices, it is impractical to construct the matrixf (A) explicitly. Usually an approximation to it is used. This paper develops an algorithm based upon a polynomial approximation tof (A). First the problem is reduced to a problem of approximatingf (z) by a polynomial in z, where z belongs to a domainD in the complex plane that includes all the eigenvalues ofA. This approximation problem is treated by interpolatingf (z) in a certain set of points that is known to have some maximal properties. The approximation thus achieved is almost best. Implementing the algorithm to some practical problems is described. Since a solution to a linear systemAx=b isx=A ^–1 b, an iterative solution algorithm can be based upon a polynomial approximation tof (A)=A ^–1. We give special attention to this important problem.     

太阳风粒子数据映射模型的设计与实现

为了能够快速获得第三级太阳风粒子可分析处理的结构化数据,本文采用将数据映射到内存和采用语言集成查询技术解决数据的完整映射和快速访问。通过设计数据映射模型,将用PDS数据的数据标签和数据产品分别映射到模型的值域和属性域,解决本地或网络数据内存映射的问题。为测试这个实例,采用双倍缓冲和贝塞尔插值技术对数据能谱进行了实时绘制。结果表明该模型具有高效性、完备性和高吻合度。这个基于内存映射的模型能够较好地解决异构数据快速结构化数据访问的数据源动力不足问题,为进一步处理和分析太阳高能粒子的频谱、成份和通量及随时间、空间变化的分布特征等提供了基础。     

基于偏微分的图像放大算法研究

在研究图片放大算法中,分析了现有的运用偏微分算法在图像法大中的不足,利用图像放大过程中的边缘信息可预知性,本文提出一种新的基于偏微分方程的图像放大算法,这种算法通过将图像边缘检测、平滑处理,然后采用三次样条插值算法对边缘进行相应倍数的放大,并通过对可能出现的锯齿边缘进行细化处理;将处理过的边缘作为放大图像的边缘,从而可以将源图像的边缘很好的保持下来,避免了偏微分方程放大过程中出现的边缘模糊现象。实验结果显示,该方法是一种能够很好的保存图像的边缘信息的图像放大算法。     

Tb0.3Dy0.7(Fe1-xAlx)1.95合金的结构、磁致伸缩性能和自旋重取向研究

本文系统研究了室温下Tb0.3Dy0.7(Fe1-xAlx)1.95(x=0,0.05,0.1,0.15,0.2,0.25,0.3,0.35)合金中金属Al替代Fe对晶体结构、磁致伸缩、内禀磁致伸缩、各向异性和自旋重取向的影响.结果发现,x＜0.4时,Tb0.3Dy0.7(Fe1-xAlx)1.95完全保持MgCl2立方Laves相结构,晶格常数a随Al含量x的增加而增大.磁致伸缩测量发现,随着替代量x的增多磁致伸缩减小,x＞0.15时超磁致伸缩效应消失;x＜0.15时磁致伸缩在低场下(H≤40kA/m)有小幅增加,高场下迅速减小,而且易趋于饱和,说明添加少量Al有助于减小磁晶各向异性.内禀磁致伸缩λ111随[111]替代量x的增加大幅度降低.穆斯堡尔效应表明,Tb0.3Dy0.7(Fe1-xAlx)1.95合金的易磁化方向随成份和温度在{110}面逐渐偏离了立方晶体的主对称轴,即自旋重取向.室温下,当x=0.15时,Tb0.3Dy0.7(Fe1-xAlx)1.95合金中出现了少量非磁性相;x＞0.15时,合金完全呈顺磁性.     

Simulation of polycrystalline aluminum tensile test with crystal plasticity finite element method

The crystal plasticity was implemented in the finite element method（FEM） software ABAQUS through the user subroutine UMAT. By means of discretizing the space at the grain level with the Voronoi diagram method, a polycrystal model was built and used in the FEM analysis. The initial orientation of each grain was generated based on the orientation distribution function（ODF）. The developed model was successfully applied in simulation of polycrystalline aluminium samples deformed by the tensile tests. The theoretical strain--stress relation was in good agreement with the experimental result. The simulation results show that the grain size has significant effect on the deformation behavior. The initial plastic deformation usually occurs at grain boundaries, and multiple slip often results in an enhanced local hardening at grain boundaries.     

保单调插值的奇异混合三角/双曲B样条

为了使得插值曲线保单调,设计了两类新的平面参数曲线及其保单调插值算法.计算奇异混合函数,把三角/双曲多项式B样条曲线与奇异多边形通过奇异混合函数混合,无需解方程组或繁琐的迭代,得到自动插值给定平面点列且C2(或G1)连续的带形状参数的复合曲线,尤其能得到摆线、螺旋线、双曲线、悬链线等各类超越曲线.通过把插值曲线的导矢分量转化为类Bernstein多项式,并且利用Bernstein多项式非负的充要条件,得到插值曲线单调的充要条件,获得形状参数合适的取值范围. 该方法简单方便,所得参数范围保证了插值曲线保单调.     

台阶内花键套筒冷挤压工艺研究

分析了台阶内花键套筒的冷挤压工艺 ,制定出冷挤压件图 ,确定了挤压方案及工艺流程 ,对各工序变形程度进行了校核 ,并计算出了挤压力,同时对挤压模具的设计制造进行了简单的介绍。