Variations of stress intensity factor of a semi-elliptical surface crack subjected to mixed mode loading

Maximum stress intensity factors of a surface crack usually appear at the deepest point of the crack, or a certain point along crack front near the free surface depending on the aspect ratio of the crack. However, generally it has been difficult to obtain smooth distributions of stress intensity factors along the crack front accurately due to the effect of corner point singularity. It is known that the stress singularity at a corner point where the front of 3 D cracks intersect free surface is depend on Poisson's ratio and different from the one of ordinary crack. In this paper, a singular integral equation method is applied to calculate the stress intensity factor along crack front of a 3-D semi-elliptical surface crack in a semi-infinite body under mixed mode loading. The body force method is used to formulate the problem as a system of singular integral equations with singularities of the form r ⁻³ using the stress field induced by a force doublet in a semi-infinite body as fundamental solution. In the numerical calculation, unknown body force densities are approximated by using fundamental density functions and polynomials. The results show that the present method yields smooth variations of mixed modes stress intensity factors along the crack front accurately. Distributions of stress intensity factors are indicated in tables and figures with varying the elliptical shape and Poisson's ratio.     

Lennard-Jones Viscosities in Wide Ranges of Temperature and Density: Fast Calculations Using a Steady–State Periodic Perturbation Method

A method for fast calculation of viscosity from molecular dynamics simulation is revisited. The method consists of using a steady-state periodic perturbation. A methodology to choose the amplitude of the external perturbation, which is one of the major practical issues in the original technique of Gosling et al. [Mol. Phys. 26: 1475 (1973)] is proposed. The amplitude of the perturbation required for fast caculations and the viscosity values for wide ranges of temperature and density of the Lennard-Jones (LJ) model fluid are reported. The viscosity results are in agreement with recent LJ viscosity calculations. Additionally, the simulations demonstrate that the proposed approach is suitable to efficiently generate viscosity data of good quality.     

针对裂变产额和半衰期的燃耗计算灵敏度和不确定度分析方法

基于广义微扰理论推导了裂变产额和半衰期的燃耗灵敏度系数理论模型,该模型考虑了原子核密度和中子通量的相互影响,并开发了燃耗计算中有效增殖因数和原子核密度等响应参数对核数据的灵敏度和不确定度分析程序。基于评价核数据中裂变产物独立产额的标准差数据,产生了针对压缩燃耗数据库的裂变产额协方差矩阵,以提高不确定度的计算精度。基于ENDF/B-Ⅶ.1数据库量化了UAM基准题TMI-1栅元无限增殖因数及重要裂变产物和重核的原子核密度由裂变产额和半衰期引入的不确定度。数值结果表明,对于栅元无限增殖因数,裂变产额和半衰期引入的不确定度很小;对于部分裂变产物的原子核密度,裂变产额和半衰期会引入较大的不确定度。     

离散广义系统无振控制的几点分析

通过讨论离散广义系统中的无振控制以及带有外加扰动的鲁棒控制问题，提出了在Ex（t）或x（t）不能直接得到时，设计观测器，采用了与众不同的输入u＝kEx（t），同时研究了在此输入情况下系统的正则性，无振控制及分离性．     

非线性振动方程的同伦摄动法求解

针对非线性振动方程,基于同伦摄动法给出了一种有效的近似解求法。通过与常见的LindstedtPoincare（L-P）方法以及Krylov方法的比较,表明同伦摄动法更为简单和有效。     

Cheap control problem of a linear uniform rank system: Design by composite control

Cheap control problems where a small parameter μ² multiplies the control cost are considered. Due to the cheapness of control, a strong control action in the form of high-gain feedback forces the given system to have slow and fast, low and high amplitude variations. For a class of linear systems (uniform rank systems), a systematic procedure of amplitude scaling and time-scale decomposition which normalizes high and low amplitude variations and which separates slow and fast time scales is presented. The method permits the explicit characterization of all the limiting properties of the considered cheap control problem as μ → 0. Methods of calculating singular controls and how non-uniqueness can arise in them are discussed. Above all, several suboptimal composite control schemes are developed based on the decomposition of the given optimal design into two lower order subsystem designs.     

一种基于Slant变换和SVD的稳健性数字水印算法

针对奇异值分解(SVD)存在的虚警错误和水印隐蔽性与鲁棒性的矛盾问题,提出了一种基于Slant变换和SVD的稳健性数字水印算法。对二值水印图像进行Arnold置乱和Logistic映射双因子加密预处理,增强水印信息安全性;将原始载体图像分成8×8不重叠子块分别对其进行Slant变换和块奇异值分解;然后将水印图像SVD后的左奇异矩阵和奇异值矩阵相乘作为水印主成分嵌入到每个子块的最大奇异值中。仿真实验结果表明,该算法不仅有效解决了传统SVD水印算法的虚警问题,提升了运行速度和水印安全性,在具有较好隐蔽性的同时,对JPEG压缩、噪声、滤波、几何攻击等也有较好的稳健性。     

奇异摄动系统的H_∞控制:基于奇异系统的方法

实际系统的奇异系统模型往往通过忽略系统的奇异摄动系统模型微分项系数矩阵中的小时间参数得到.然而,传统的奇异系统控制器设计很少考虑微分项系数矩阵的摄动.本文拓展了现有奇异系统输出动态反馈H∞控制器的设计,使得当实际闭环系统中存在小时间参数时,仍然能保持稳定并且满足一定的H∞性能指标.仿真算例说明了本文提出方法的有效性.     

时变不确定广义系统的鲁棒无源控制

研究了除E外其余系数矩阵均含有范数有界时变不确定性的广义系统的鲁棒无源控制器设计问题.利用线性矩阵不等式方法,首先给出自治系统广义二次稳定且无源的充分条件;然后给出状态反馈鲁棒无源控制器的存在条件并用线性矩阵不等式的解构造了相应的控制器;随后以矩阵不等式的形式得到了动态输出反馈鲁棒无源控制器的存在条件,同时利用矩阵不等式的解给出相应控制器的设计方法;最后举例说明了所提出方法的可行性.     

指纹快速匹配算法研究

设计了指纹快速匹配算法。算法以分类时获取的奇异点为参考点对指纹进行定位,利用奇异点特殊邻近结构缩小细节点匹配规模,在可变界限盒的基础上设计合理匹配策略。该方法不仅可以提高计算速度,也能够适应指纹非线性形变的特点,增加算法鲁棒性。在FVC2000数据库上的测试结果显示,该算法在保证自动指纹识别系统识别准确性的同时,还使得指纹辨识速度有了显著的提高。