3,19—二羟基—1—硫杂—5,8,11,14,17—五氧杂环二十烷的醚化与缩聚反应

３，１９－二羟基－１－硫杂－５，８，１１，１４，１７－五氧杂环二十烷（简称二羟基硫杂２０－冠－６）在一缩二乙二醇二甲醚和氢化钠存在下可与卤代烷顺利地进行醚化瓜尖，得到双己氧基，双十二烷氧基，双十六烷氧基，双苄氧基和双烯丙氧基硫杂２０－冠－６，同时也得到了单己氧基，单十二烷氧基，单十六烷氧基和单苄氧基单羟基硫杂２０－冠－６副产物，二羟基硫杂冠醚可顺利地与丁二酰氯缩聚，得到主链含硫杂冠醚基团的聚酯。     

非均匀Ⅱ型三角剖分上的双周期三次样条函数空间

本文确立了非均匀Ⅱ型三角剖分上双周期三次样条函数空间的维数,并给出了一组具有局部支集的基底.     

Data completion via an energy error functional

We propose, in this Note, a new procedure for data completion based on the minimization of an energy like error functional. The efficiency of the proposed method is illustrated by a thermostatic application. To cite this article: S. Andrieux et al., C. R. Mecanique 333 (2005).     

基于ADINA的软土坝基沉降分析

为了预测拟建软土坝基的沉降量,弄清软土坝基的沉降规律及孔隙水压力的消散规律,本文采用有限元分析程序,对大坝软土坝基的沉降进行了分析研究。研究结果表明:大坝的沉降经历了初始沉降、快速沉降和缓慢沉降3个阶段;通过分析,获得了坝基的沉降规律为Hill模型,孔隙水压力的消散规律为指数衰减Expdec2模型,并得出了坝基的沉降量、附加沉降量及水平位移值,为大坝建设和类似坝基沉降预测提供了有价值的参考。     

变截面黏弹性直杆纵振时复频率分析的差分解法

从一维黏弹性本构方程出发,导出了黏弹性变截面直杆纵向振动微分方程的一般形式,采用了有限差分法,并以二阶矩阵表示的递推形式,建立了该问题的复特征值方程组。两种Maxwell黏弹性变截面（指数指数、线性函数）直杆的数值计算表明,该方法运算简单,计算精度高,能适用于求解任意变截面黏弹性直属的纵向自由振动问题。     

Identity for the Exponential-Type Molecule Potentials and the Supersymmetry Shape Invariance

The identity and the supersymmetry shape invariance for a class of exponential-type molecule potentials are studied by introducing a deformed five-parameter exponential-type potential (DFPEP) and via the multi-parameter deformations. It has been shown that the DFPEP is a shape-invariant potential with a translation of parameters. By making use of the shape invariance approach, the exact energy levels are determined for the bound states with zero angular momentum. A class of molecule potentials and their exact energy spectra for the zero angular momentum states are reduced from the DFPEP and a general energy spectrum formula, respectively. The interrelations for some molecule potentials are also discussed.     

Exotic Localized Coherent Structures of the （2＋1）—Dimensional Dispersive Long—Wave Equation

This article is concerned with the extended homogeneous balance method for studying the abundant localized solution structures in the (2 1)-dimensional dispersive long-wave equations uty ηxx (u^2)xy/2=0,ηt (uη u uxy)x=0.Starting from the homogeneous balance method,we find that the richness of the localized coberent structures of the model is caused by the entrance of two variable-separated arbitrary functions.for some special selections of the arbitrary functions,it is shown that the localized structures of the model may be dromions,lumps,breathers,instantons and ring solitons.     

2-羟基咪唑在气相和水中的异构平衡和质子迁移的从头算计算和Monte Carlo模拟

采用从头算方法在MP2/6-31＋G^*水平上研究了2-羟基咪唑分子在孤立分子和一水合物的异构体的相对稳定性和可能的质子迁移反应, 分析了一个水分子的参与对2-羟基咪唑分子异构体的相对稳定性和质子迁移速率的影响, 采用Monte Carlo模拟方法研究了反应体系在水溶液中反应的溶剂化效应. 结果表明: 2-羟基咪唑分子的孤立分子和一水合物的最稳定异构体相同, 都为酮式. 直接质子迁移反应在水溶液中活化能垒有轻微增加, 但产物能量得到降低; 水助催化质子迁移反应在水溶液中的活化能垒和产物能量都得到明显降低. 综合气相和水相的计算结果, 2-羟基咪唑水助催化的质子迁移反应较易进行, 且在水溶液中进行容易, 可以很容易被实验观察到.     

铁谱图像分析技术的应用研究

本文将计算机图像处理技术应用于铁谱定量分析,对谱片中各单个磨粒的特征参数进行统计,并根据统计模式识别理论设计了4类典型磨粒的分类器。利用统计参数,可以实现磨粒的自动识别分类和统计,大大提高了铁谱定量分析的准确性。     

Cavity Formation And Its Vibration for A Class of Generalized Incompressible Hyper-Elastic Materials

The problem of radial symmetric motion for a solid sphere composed of a class of generalized incompressible neo-Hookean materials, subjected to a suddenly applied surface tensile dead load, is examined.The analytic solutions for this problem and t…