BIFURCATION ANALYSIS AND COMPUTATION OF DOUBLE TAKENS-BOGDANOV POINT IN Z2-EQUIVARIABLE NONLINEAR EQUATIONS

The paper deals with the computation and bifurcation analysis of double Takens-Bogdanov point (u~0, Λ~0) (in short, DTB point) in the Z_2-equivariable nonlinear equation f(u,Λ)=0,f:U×R~4→ V, where U and V are Banach spaces, parameters A∈R~4. At (u~0,Λ~0) , the null space of f_u~0 has geometric multiplicity 2 and algebraic multiplicity 4. Firstly a regular extended system for computing DTB point is proposed. Secondly, it is proved that there arc four branches of singular points bifurcated from DTB point: two paths of STB points, two paths of TB-Hopf points. Finally, the numerical results of one dimensional Brusselator equations are given to show the effectiveness of our theory and method.     

对光声成像系统中声透镜的二元声学研究

基于二元声学的方法提出了一种折射／衍射混合声透镜设计方案,该声透镜在对光声信号进行二维成像时体现出了极大的优越性,与单声透镜相比,除了有实时成像、成像焦深较大且可以利用时间分辨技术实现层析成像的优点外,还可以利用二元声学透镜独特的色散特性校正单声透镜的轴向色差,可以极大提高成像的分辨力。通过计算机模拟了有一定带宽的点声源通过该声透镜像面上的点扩展函数,与经单声透镜的结果比较,可以看出点扩展函数弥散斑得到明显改善,极大地消除色差对成像质量的影响。     

数据偏差对双随机位相解码重构图像噪声特性的影响

双随机位相编码解码技术是应用于图像隐藏领域的一种重要方法。在已编码信息的记录及传递过程中,由于复制、修饰、图像压缩等人为或非人为因素不可避免地会引入各种偏差,这些数据偏差最终反映为重构图像的噪声。分析并数值模拟了满足均匀分布、正态分布的随机偏差及因数据取舍而引入的偏差所导致的重构图像噪声分布。研究表明,这几种类型的数据偏差在重构图像中均会导致灰度值概率分布为高斯型函数的噪声。从理论分析和数值模拟结果来看,实施双随机位相解码运算不会降低图像信噪比,因此重构图像的噪声特性是由已编码信息在记录及传递过程中的信噪比决定的。     

FINITE ELEMENT MODELLING OF COMPLEX 3D STATIC AND DYNAMIC CRACK PROPAGATION BY EMBEDDING COHESIVE ELEMENTS IN ABAQUS

<正>This study proposes an algorithm of embedding cohesive elements in Abaqus and develops the computer code to model 3D complex crack propagation in quasi-brittle materials in a relatively easy and efficient manner.The cohesive elements with softening traction-separation relations and damage initiation and evolution laws are embedded between solid elements in regions of interest in the initial mesh to model potential cracks.The initial mesh can consist of tetrahedrons,wedges,bricks or a mixture of these elements.Neither remeshing nor objective crack propagation criteria are needed.Four examples of concrete specimens,including a wedge-splitting test,a notched beam under torsion,a pull-out test of an anchored cylinder and a notched beam under impact,were modelled and analysed.The simulated crack propagation processes and load-displacement curves agreed well with test results or other numerical simulations for all the examples using initial meshes with reasonable densities.Making use of Abaqus's rich pre/post-processing functionalities and powerful standard/explicit solvers,the developed method offers a practical tool for engineering analysts to model complex 3D fracture problems.     

动基座传递对准非线性滤波器的设计及应用

在非线性、非高斯条件下进行动基座传递对准,如果采用卡尔曼滤波会出现误差较大甚至发散的问题。本文引入强跟踪自适应滤波器,建立对估计误差的一步预测方差PK/K-1的加权算法,来达到抑制噪声的目的;同时,针对初始对准对准精度与快速性的要求,建立了动基座传递对准精确的非线性滤波模型。通过计算机仿真,模拟了飞机机动模式,验证所提滤波器的可行性。最后,通过与扩展卡尔曼滤波的比较,说明非线性强跟踪自适应滤波器在对准精度与速度上都有更好的表现。     

Steady-State Analysis of a Two-Mode Laser System with Cross-Correlation Between Real and Imaginary Parts of Quantum Noise

An inhomogeneously broadened two-mode laser system with cross-correlations between the real and imag- inary parts of quantum noise is considered. The Fokker-Planek equation of the system is derived by the phase-locking method. The steady-state probability distribution, the mean light intensity, the normalization autocorrelation function, and cross correlation function are calculated. The results indicate that： （i） The cross-correlation between the real and imaginary parts of quantum noise can cause the stationary probability distribution from one peak structure to two extrema structure when the laser system is operated above threshold; （ii） The cross-correlation between the real and imaginary parts of quantum noise enhance the light intensity fluctuation and decrease the laser output when the laser system is operated below or near threshold; （iii） The effect of the cross-correlation between the real and imaginary parts of quantum noise is very weak on the stationary properties when the laser system is operated far above threshold.     

粒状磷光增感屏点扩展函数的蒙特卡罗研究

磷光增感屏的内禀性质对磷光增感屏的成像性能影响很大.基于米氏(Mie)散射理论,计算得到磷光增感屏在不同颗粒尺寸和不同颗粒堆积密度情况下的散射系数和吸收系数.然后利用Monte Carlo(MC)方法模拟了可见光光子在磷光增感屏Gd₂O₂S:Tb(GOS)内的散射和吸收事件,得到磷光增感屏内不同位置处的可见光收集效率.利用MCNP程序模拟X射线束在磷光增感屏内的能量沉积分布,得到了金属-磷光增感屏总的点扩展函数(PSF).结果表明,在兆伏X射线成像系统中,使用小颗粒尺寸和高堆积密度的GOS磷光屏,可以改善增感屏系统的空间分辨率.     

缝水压力和裂缝面接触条件对重力坝裂缝扩展影响

基于多边形比例边界有限元模拟了重力坝裂缝扩展过程,综合考虑了坝-库水-地基相互作用、裂缝面接触和缝水压力的影响。其中该接触模型能够有效防止裂缝面的相互嵌入;该缝水模型除能考虑裂缝面开合速度、缝隙宽度和水流形态对缝水压力分布的影响,还可基于连续性条件模拟缝内水体流动和空化的现象。以Koyna坝裂缝扩展为例,研究了裂缝面接触条件和缝水压力对计算结果的影响。结果显示,考虑接触的影响,震损较为严重。而与假定为常水压力分布的情况相比,实际的缝水压力分布形式对结果影响较为复杂。在裂缝张开时,减小了裂缝扩展的可能,而在裂缝闭合时正好与之相反。     

Anderson型多金属氧酸盐研究进展

Anderson型多金属氧酸盐是6种经典多酸结构之一,但过去人们对其结构的异构现象认识不够深人,对其衍生物的研究也较少。事实上,Anderson型多阴离子可作为灵活的多齿配体与过渡金属或稀土元素形成高维扩展结构,并具有潜在的应用前景。本文首先对多金属氧酸盐进行了简单介绍,之后对Anderson型多金属氧酸盐结构、异构现象进行了详细描述,并对近年Anderson型多金属氧酸盐研究进展进行综述和展望。