关于一类非线性耦合Schrdinger方程组的研究

研究了一类非线性耦合Schr(?)dinger方程组初边值问题,应用Galerkin方法及紧致性的结果证明了该问题解存在唯一性。再利用椭圆型方程解的正则性定理,得出当初边值满足一定的条件时,该方程组解的正则性结果。     

具有非局部源项的抛物型方程组正解的爆破与爆破率

本文研究一类具有齐次Dirichlet边界条件与非局部源项耦合的半线性抛物型方程组的初边值问题.该问题来源于可燃混合气体的热传播过程等自然现象.利用椭圆问题的特征值与特征函数理论和上解下解方法,我们给出了该问题解的临界指标p=p1p2···pk-1.征得当p≤0,且piqi,以及系数ri充分小时,问题存在整体解.而如果p0,则对于充分大的初值,我们证得解在有限时刻爆破.另外,我们证明获得了爆破率的上界.     

Rn上一类共振椭圆方程组的解

讨论了Rn上一类共振拟线性椭圆方程组问题。利用一种变形的山路引理,在一定条件下得到了该方程组非平凡解的存在性,所获结论改进了已有文献中相关结果。     

关于一类非线性耦合Schr(o)dinger方程组的研究

研究了一类非线性耦合Schr(o)dinger方程组初边值问题,应用Galerkin方法及紧致性的结果证明了该问题解存在唯一性.再利用椭圆型方程解的正则性定理,得出当初边值满足一定的条件时,该方程组解的正则性结果.     

一类矩阵方程组带有子矩阵约束的最小二乘中心对称解

约束矩阵方程问题在控制理论、振动理论、工程和科学计算等领域具有重要应用.基于共轭梯度法的思想,本文构造了一种算法,以寻求一类矩阵方程组的带有子矩阵约束的最小二乘中心对称解.在没有舍入误差的情况下,该算法经过有限步迭代得到了矩阵方程组带子矩阵约束的最小二乘中心对称解,而且,通过选择一种特殊的初始矩阵,得到了矩阵方程组的带子矩阵约束的最小范数最小二乘中心对称解.数值实验显示该算法具有较快的收敛速度.     

一类四元数矩阵方程组的中心对称解及其极秩

研究一类四元数矩阵方程组存在中心对称解的充要条件及其通解的极秩问题。利用中心对称矩阵的特征结构，将该约束方程组转化为等价的无约束矩阵方程组的求解问题，然后采用M-P广义逆和分块矩阵秩的刻画方法，获得原方程组的中心对称解的表达式以及其极秩。所得定理推广了有关文献的结果。     

转子现场动平衡解的稳定性讨论

进行转子的现场动平衡需要求解复数方程组,该方程组的系数是由施加配重的情况决定的。本文将该方程组正规化后,讨论其系数矩阵的谱条件数,得到在二平面和多平面影响系数法中施加配重对解的稳定性的影响情况,并获得一些有实际意义的结论。     

偏心有限长大间隙环流的动特性研究

基于作者建立的大间隙环流中转子运动的三维力学模型,用摄动法推导了有限长大间隙环流流场非线性控制方程的零阶摄动方程组.该方程组是一个复杂的三维非线性偏微分方程组,其求解有一定的困难. 为此, 提出了一种简化数值方法. 该简化方法是采用作者以前获得的同心有限长大间隙环流的动特性系数来计算三维偏心有限长大间隙环流的动特性系数. 与已有的数值计算结果和实验结果比较, 该简化方法具有较好的实用性和精度. 数值计算结果表明与同心有限长大间隙环流相比, 偏心有限长大间隙环流的动特性系数不再具有主项相等, 耦合项大小相等、符号相反的特点, 动特性系数主项随着偏心率的增加而呈不同程度的指数增加, 这意味着在大偏心情况下有限长大间隙环流的动特性系数将增大.     

用幂基多项式拟合频向函数的几点技巧

提出了用幂基多项式拟合频响函数的几点技巧。运用幂基多项式和最小二乘法对频响函数拟合的计算公式进行了推导,得到了用于问题求解的线性代数方程组,为改善该方程组系统矩阵的条件数,对频率变量和系数矩阵进行了规范化处理;频率变量被规范化到0＝－1的无量纲正实数区域,两个相关矩阵的每列模长被规范为1。然后用奇异值分解的方法求解该方程组,得到拟合频响函数所用的幂基多项式的系数。最后,根据幂基多项式的系数,求出系统的极点和留数,从而识别出系统的模糊态参数,文中给出了一个悬臂梁模拟算例,结果表明本文算法具有较好的计算精度。     

张拉结构找形的多坐标系力密度法

传统力密度法建立于统一的整体坐标系下,无法解决具有复杂斜边界的张拉结构找形问题。该文借鉴有限元法的思想提出了多坐标系力密度法。首先依据边界约束条件为各节点建立局部坐标系,由力的矢量分解关系推导出单元力密度抗力系数矩阵,然后组合成整体力密度抗力系数矩阵。依据结构抗力和外荷载合力为零的力平衡关系,建立多坐标系下的力平衡方程组,并利用固定约束方向节点坐标恒定关系修正方程组,求解该方程组可获得具有复杂斜边界的张拉结构的初始平衡形态。该文还编制了多坐标系力密度法的Matlab程序,并通过3个算例证明了该方法的有效性和正确性。     

The Research of Anti-Wear Properties of Organomolybdenum Compounds in the Engine Oils

A four-ball tester was used to evaluate the anti-wear performance of three kinds of organomolybdemun compounds in the engine oils, i. e., molybdenum dialkyldithiophosphate (MoDDP), molybdenum dialkyldithiocarbamate ( MoDTC), and sulphur and phosphorus freeorganomolybdeum (Molybdate). The results indicate that a low concentration of MoDDP doesn' t improve the anti-wear properties of the commercial engine oils, but a high concentration of MoDDP can obviously improve the anti-wear properties and the load-carrying capacity of the engine oils. MoDTC doesn' t improve the antiwear properties of the engine oils, but worsens the anti-wear properties of the oils. Signifi can timprove ment of frictional and wear characteristics is obtained with Molybdate added in the commercial engine oils and the formulated oils.     

Certification Becomes Important for the I Quality; and Safety Supervision of the Chinese Liquor Sector

The end of 2007, over 200 unit products of more than 80 Chinese firms have passed the quality grade certification for liquor products. These products involve distilled spirits, beer, wine, yellow wine, fruit syrup wine and others, and cover over 80% of the national top-branded liquor products.……     

Deposition and Coating Properties on CVD Tungsten

Surface characterization and microstructure studies are performed on chemical vapor deposited (CVD) tungsten coating. There is about 2 μm thickness diffusion layer of tungsten in the molybdenum substrate. The thermal shock test shows tungsten coating has good adhesion with molybdenum substrate, but the elements of oxygen and carbon in the tungsten coating have the bad affection to the adhesion. The result of high-temperature diffusion experiment is the diffusion rate from molybdenum substrate to tungsten coating is faster.     

Analysis of marine hydrobiont lipid extracts as possible cryoprotective agents

We studied a combined effect of the cryoprotectants both of lipid and carbohydrate origin at the presence of DMSO or without it on cell viability and the RNA synthesis in the embryonic mollusc and echinoderm cell cultures obtained at different developmental stages. Cryoprotective properties of exogenous lipids correlated with their thermotropic behavior. Lipid extracts from marine hydrobiontes, which thermal transitions are characterized by relatively small part of calorimetric thermogram area lying at temperatures above 0 °C (6–18%), were found to possess a considerable cryoprotective activity. The results are discussed in relation to the prediction of the cryoprotective activity of lipid extracts for marine animal cells. In addition, it was found that marine invertebrate cells can be cryopreserved without DMSO at the presence of trehalose and lipid extracts of some marine hydrobiontes.     

Low-Temperature Properties of Silver

Pure silver is used extensively in the preparation of high-temperature superconductor wires, tapes, films, and other configurations in which the silver not only shields the superconducting material from the surrounding materials, but also provides a degree of flexibility and strain relief, as well as stabilization and low-resistance electrical contact. Silver is relatively expensive, but at this stage of superconductor development, its unique combination of properties seems to offer the only reasonable means of achieving usable lengths of conductor. In this role, the low-temperature physical (electrical, thermal, magnetic, optical) and mechanical properties of the silver all become important. Here we present a collection of properties data extracted from the cryogenic literature and, to the extent possible, selected for reliability.     

Early ironwork in Biscay: Survey,excavation, experimentation and materials characterization. An integral study of the mountainside ironworks (ferrerías de monte or “haizeolak”)

ABSTRACT

The production of iron in Biscay (Basque Country, Spain) has been a hallmark of this territory of the North of the Iberian Peninsula throughout its history. The Archaeology team of the Basque Country Mining Museum has spent 13 years, so far, studying the origins of this activity through the evidences left at the old pre-hydraulic iron production workshops known as mountainside ironworks (ferrerías de monte) or haizeolak. It has catalogued 170 archaeometallurgical sites of this type in Biscay, and the archeological excavation of some of them has led to the knowledge of the different stages of the production process that took place in these workshops. The team has also experimentally reproduced the work carried out in a mountainside ironworks from the High Middle Ages, and it has currently started the characterization process of this type of activity through the study of the collected materials.     

Mechanism Study on the Wear of CrAlTiN Coated High-Speed Steel Twist Drills Under Dry Cutting Conditions

As demands about environment protection are growing up, dry cutting technology is getting more and more concerns from all over the world. Main works performed here are study on dry cutting performances and wear mechanisms of M2high-speed steel (HSS) twist drills with CrAlTiN multicomponent coatings, which was deposited using magnetron sputter ion plating system, in drilling 45 and 30CrMnSiA steel, and their comparisons to those in drilling the same steel but using monolayer CrN and commercial TiN coated drills. Drilling performances of drills are evaluated mainly through the measurements of width on outer corner flank land and the cutting forces. Results show that performances of CrAlTiN coated drills are better than those of monolayer CrN and TiN coated drills. In drilling 45 and 30CrMnSiA steel, the average tool life of the CrAlTiN coated drills are 17.2 and 11.8 times higher than those of the uncoated drills. Observing wear of the drill with scanning electronic microscope, results show that there is no crack or spallation of the CrAlTiN coatings in wear zones. Main mechanism of the wear here is adhesion.     

Study on Bond Ability of Arc-Spraying Coatings with Different Surface Pretreatment on Cast-Iron

Arc spraying coatings are widely used in various applications, but uncommon in cast iron substrate. Different surface pretreatment technology is tested on substrates of gray cast iron. Surface roughness and residual stress were measured by TR200 and X-ray diffraction analyzer. Influence of different surface pretreatment methods ( dry blasting and fusebond) on roughness and residual stress was analyzed. The arc-sprayed coatings of wire 3Cr13 (φ2mm) on gray cast iron substrate is studied. The microstructure and interface of bonding layer were observed by SEM. The bond strength was taken by tensile test. Results show that bond strength with grit blasting is higher than fuse-bond; it is feasible to make wire 3Cr13 coating with arc spraying on cast iron substrate roughened by grit blasting.     

Structural Characteristics of TiO2 Ceramic Coating by Micro-Plasma Oxidation

TiO2 ceramic coatings with thickness of 20 μm were formed on the surface of pure titanium by micro-plasma oxidation. Their micro-structures were investigated by by using X-ray diffraction and their surface images were detected by using scan electronic microscope. There were three kinds of TiO2 coatings, pure anatase type TiO2 phase, mixed phases consisted of rutile type TiO2 phase and anatase type TiO2 phase, pure rutile type TiO2 phase. The coating surface with the pure anatase type TiO2 phase is rough, while the coating surface with the pure rutile type TiO2phase is smooth. The upper coating surface with the mixed type TiO2 phases is anatase type TiO2 structure and the subsurface of the TiO2 coating is rutile type TiO2structure.     

Evaluation of fatigue life of steel using steel grain size

The insightful discussion of the relationship between the construction of metallographic and fatigue life and proposition of mathematical relationships describing this relationship was conducted in the paper. This paper presents a method for estimating the fatigue life, based on the construction of the microstructural material taking into account the grain size and the participation of ferrite and pearlite phase.