具有时滞的Lienard类型方程的非线性振动

本文获得了具有时滞的Lienard类型方程所有解振动的充分必要条件，推广或扩展了文[4－7]的一些结果。     

二维氧化锌纳米阵列的制备及光学吸收特性研究

采用漂移法,在玻璃衬底上制备出粒径分别为117,350和500 nm单层、大面积的聚苯乙烯胶体球掩膜板,在已制得的掩膜板上用射频磁控溅射的方法沉积一层氧化锌薄膜,最后用有机溶液四氢呋喃(THF)浸泡去除聚苯乙烯胶体球,获得不同粒径的二维氧化锌纳米团簇。通过扫描电子显微镜和能量色散X射线光谱仪对样品的形貌及成份进行表征,表明所制得样品为有序分布的蜂窝网状氧化锌纳米阵列。在室温下,通过吸收光谱仪测试样品在300～800 nm波长范围内的吸收光谱,结果表明对于具有不同尺寸晶粒的氧化锌纳米团簇样品,随着所采用的聚苯乙烯胶体球粒径的增大,即氧化锌纳米团簇粒径的增加,光吸收峰出现了宽化和红移;随着溅射时间的延长,即氧化锌薄膜膜厚的增加,光吸收率提高。此外,对氧化锌纳米团簇阵列的光吸收特性进行了基于离散偶极子近似的理论计算从而获得任意形状和尺寸粒子的吸收。目前,文献报道中用此理论计算各种形状的纳米金、银等金属的结果与实验结果相符,但是应用离散偶极子的近似理论计算氧化锌纳米颗粒的报道很少。应用此理论计算三角棱台形状的氧化锌光学吸收特性,根据氧化锌薄膜介电常数和膜厚的变化进行光吸收特性的模拟,并解释了实验结果。     

Local density of states around two nonmagnetic impurities in cuprate superconductors

The local density of states (LDOS) around two nonmagnetic impurities which are located at different sites is studied within the two-dimensional t-J-U model. The order parameters are determined in a self-consistent way with the Gutzwiller projected mean-field approximation and the Bogoliubov-de Gennes theory. When the two impurities are located one or two sites away, we find the superconductivity coherence peaks are more strongly suppressed and the zero-energy peak (ZEP) has split into two peaks. Whereas when the two impurities are located next to each other, the ZEP vanished, and LDOS does not change a lot compared with the case away from the impurities.     

Entropy Corrections for a Charged Black Hole of String Theory

We study the entropy of the Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) charged black hole, originated from the effective action thatemerges in the low-energy of string theory, beyond semiclassical approximations. Applying the properties of exact differentials for three variables to the first law thermodynamics we derive the quantum correctionsto the entropy of the black hole. The leading (logarithmic) and non leading corrections to the area law are obtained.     

APPROXIMATE SOLUTIONS FOR TRANSIENT RESPONSE OF CONSTRAINED DAMPING LAMINATED CANTILEVER PLATE

The series composed by beam mode function is used to approximate the displacement function of constrained damping of laminated cantilever plates, and the transverse deformation of the plate on which a concentrated force is acted is calculated using the principle of virtual work.By solving Lagrange＇s equation, the frequencies and model loss factors of free vibration of the plate are obtained, then the transient response of constrained damping of laminated cantilever plate is obtained, when the concentrated force is withdrawn suddenly.The theoretical calculations are compared with the experimental data, the results show：both the frequencies and the response time of theoretical calculation and its variational law with the parameters of the damping layer are identical with experimental results.Also, the response time of steel cantilever plate, unconstrained damping cantilever plate and constrained damping cantilever plate are brought into comparison, which shows that the constrained damping structure can effectively suppress the vibration.     

考虑恒载效应的拱形梁静力近似解

应用虚功原理,推导了考虑恒载效应影响时拱形梁在活载作用下的非线性微分方程,得到了方程的近似闭合解。根据方程的解,讨论了恒载大小及结构自身刚度(矢高、跨度、惯性矩及惯性半径等)不同因素在考虑恒载效应时对拱形梁静力特性的影响。通过与Takabatake得到的直梁解析解结果及作者在其他文献提出的有限元方法对拱形梁分析结果的比较,验证了本文非线性微分方程及其求解公式。结果表明,本文给出的非线性微分方程对于拱形梁和直线梁具有通用性,初始恒载的存在减小了拱形梁在活载作用下的静力反应,这种影响与恒载的大小及结构自身的刚度有关,对轻型结构的设计提出了一些建议。     

MHD控制超声速边界层的理论研究和数值分析

对MHD(mechanisms of magnetohy drodynamics)控制超声速平板湍流边界层的机理进行了理论研究和数值模拟. 理论上,采用等离子体低频近似碰撞频率模型,建立等离子体中电子和离子的力平衡方程,得到等离子体速度、极化电场以及边界层速度. 数值上,通过空间HLLE格式、LU--SGS时间推进求解时均磁流体动力学湍流方程,其中湍流模型采用sst--k\omega双方程模型. 研究结果表明:(1)边界层速度的理论结果和数值结果误差在7%范围内;(2)只有磁场而电场为零时,洛仑兹力起到减小摩阻的作用. 施加电场后,洛仑兹力能够加速边界层低速区流体;(3) 在边界层外层,越靠近壁面,作用参数越小;而在边界层近壁区黏性底层,虽然惯性力减小, 但黏性力却迅速增加,因此越靠近壁面,作用参数反而越大,加速低速流的代价增加.      

随机取向烟幕凝聚粒子的消光特性

采用蒙特卡罗方法根据团簇-团簇凝聚(CCA)模型对由球形原始微粒凝聚而成的烟幕凝聚粒子进行模拟,用离散偶极子近似(DDA)方法研究随机取向烟幕凝聚粒子的消光特性.结果表明,凝聚粒子的消光特性受到原始微粒数量以及粒径的影响,粒子的凝聚将减弱烟幕的消光性能;当凝聚结构中原始微粒的数目一定时,存在使烟幕消光性能达到最大的原始微粒粒径.     

核反应截面替代测量方法介绍

核反应截面替代测量方法是一种间接测定核反应截面的方法, 这种方法对于测定不稳定核的反应截面具有重要的意义。 详细介绍了替代方法的理论基础、 影响其精确性的重要因素, 以及基于该方法的3种变型方法: 外替代比率方法（ESRM）、 内替代比率方法（ISRM）和混合替代比率方法（HSRM）。 阐明了每一种方法的基本原理, 给出了相关的实验验证, 并且对每一种方法的优缺点进行了分析。发现在每一种方法中, 所求反应与替代反应之间的自旋 宇称不匹配始终是不可消除的一个影响因素。 但是经过实验验证, 替代方法（包括3种变型方法）也可以达到较高的精确度, 因而在不能够直接测定核反应截面的情况下, 该方法不失为一种很好的间接测量方法。The surrogate nuclear reaction approach plays an important role in the determination of nuclear reaction cross sections that are difficult to be measured directly. In this paper, we investigate its basis, factors affecting its accuracy, and its three variants: the external surrogate ratio method (ESRM), the internal surrogate ratio method (ISRM) and the hybrid surrogate ratio method (HSRM). Each method was described, and their applications or experimental tests were given, from which we could see their respective advantages and disadvantages. And it is found that the spin parity mismatch, or the (weak) Weisskopf Ewing limit equivalently, is an inherent limitation of the approach. It is also seen that the surrogate approach can reach a high accuracy, so it is a good indirect approach when the nuclear reaction cross sections are unavailable to be measured directly.     

连续型动态规划的新算法研究

提出了求解一维连续型动态规划问题的自创算法----离散近似迭代法,并结合双收敛方法求解多维连续型动态规划问题. 该算法的基本思路为：在给定其它状态向
量序列的基础上,每次对一个状态变量序列进行离散近似迭代,并找出该状态变量的最优序列,直到所有状态向量序列都检查完.当模型为非凸非凹动态规划时,
证明了该算法的收敛性.当模型为凸动态规划时,证明了该算法的线性收敛性. 最后,以一个具体算例验证了该模型和算法的有效性.