非线性规划的人工释能及单变量曲径寻优算法

给出了求解一般不等式约束的非线性规划问题的一个常微分程的解法。其一维搜索的路径是约束央面上的一条最短线,其方程是由变分法建立的一组常微分方程的初值问题所确定的,。在初始点位于可行域内部时,采用人工释能法来求得下一个改进的可行点。数值例子表明核算法具有较了的计策效果。     

线性互补问题的几个结果

定义了矩阵类、矩阵类和矩阵类,运用这些矩阵类描述了使线性互补问题有解的矩阵M的性质。定义了矩阵类,并对M进行分解,提出了线性互补问题有解的条件。给出了线性互补问题的分层算法,由此推导出线性互补问题有解的充要条件。最后用一个例子说明用线性规划方法求解线性互补问题更多的解的可能性。     

关于矩阵方程AX-XB=C的解

本文导出了矩阵方程AX-XB=C的解的有限代数表达式,在此基础上,给出了一种新的直接的算法。     

一类二阶常系数线性椭圆型方程组解的唯一性

本文给出了在相同的三种变换下将三个二阶方阵的对称化部分同时化为正定的条件，从而证明了一类二阶常系数线性椭圆型方程组能化为强椭圆型方程组，并利用这一结论证明了这类方程组在有界闭区域上Dirichlet问题解的是唯一的。     

Self-similar problems of the time-dependant discs accretion and the nature of the temporary X-ray sources

Self-similar solutions, obtained by means of non-linear hydrodynamic equations, describing the picture of the time-dependant discs accretion. Some of the solutions describe the evolution of the accumulating disc, which is created around the neutron star with a strong magnetic field. Others give the time evolution of the initial narrow material ring, thrown at a certain distance around the gravitation centre. Practically all problems of the time-dependant disc accretion, asymptotically come to the above mentioned solutions.It is shown that the time-dependant disc accretion of the gas of the neutron star from the accumulating disc cause recurrent X-ray outbursts. The fall of the X-ray luminosity at the maximum stage depends of the time to a certain degree; is near the ones which are observed in the time-dependant X-ray sources. The model of the time-dependant X-ray sources is explained in the framework of the time-dependant disc accretion of magnetized neutron star with a strong magnetic field.     

具有复杂边界条件的各向异性矩形板稳态热传导解析

应用复级数方法给出的各向异性稳态热传导解析解，首次解析分析两邻边承受热流一边绝热一边对流换热的各向异性矩形板温度场。讨论了各向异性、铺设角对温度场分布的影响。数值结果表明，强各向异性板的最高温度梯度高于弱各向异性板相应值。对于各种铺设角而言，铺设角为０°的各向异性板最高温度及温度梯度均为最低。     

液体火箭发动机带有隔板和无隔板的两相冷态解数值模拟

本文对液体火箭发动机燃烧室内带有隔板和无隔板的两种情况进行了两相冷态解数值模拟，气相控制方程用欧拉坐标系下的Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程组描述，液相控制方程在Ｌａ－ｇｒａｎｇｉａｎ坐标系下进行描述。气、液两相作用通过方程组的源项互相耦合，通过计算比较了有隔板和无隔板时发动机内部流场的参数值，表明了隔板体的数值处理方法对计算两相冷态解的有效性。     

航空铝合金结构表面的阿洛丁处理方法

航空铝合金结构在制造或修理涂装之前一般要经过阿洛丁处理工艺,为后续涂装提供具有良好配套性和耐腐蚀性的基底,本文介绍了航空铝合金结构表面阿洛丁处理的机理、作用及施工方法。     

Nonthermal Radiation Mechanisms

In this paper we review the possible radiation mechanisms for the observed non-thermal emission in clusters of galaxies, with a primary focus on the radio and hard X-ray emission. We show that the difficulty with the non-thermal, non-relativistic Bremsstrahlung model for the hard X-ray emission, first pointed out by Petrosian (Astrophys. J. 557, 560, 2001) using a cold target approximation, is somewhat alleviated when one treats the problem more exactly by including the fact that the background plasma particle energies are on average a factor of 10 below the energy of the non-thermal particles. This increases the lifetime of the non-thermal particles, and as a result decreases the extreme energy requirement, but at most by a factor of three. We then review the synchrotron and so-called inverse Compton emission by relativistic electrons, which when compared with observations can constrain the value of the magnetic field and energy of relativistic electrons. This model requires a low value of the magnetic field which is far from the equipartition value. We briefly review the possibilities of gamma-ray emission and prospects for GLAST observations. We also present a toy model of the non-thermal electron spectra that are produced by the acceleration mechanisms discussed in an accompanying paper Petrosian and Bykov (Space Sci. Rev., 2008, this issue, Chap. 11).     

基于AHP-SPA方法的民机修理级别确定综合分析模型

民机保障性分析中的重要内容之一是修理级别分析(Level of Repair Analysis,LORA),现有的修理级别分析模型没有基于民机维修保障体制的特点综合考虑各类影响修理级别的因素。文章综合考虑修理级别分析的技术指标、经济指标和商业指标,将层次分析法(Analytical Hierarchy Process,AHP)与集对分析法(Set Pair Analysis,SPA)结合起来,建立民机修理级别分析综合评价模型,以实施经济性修理级别分析。并通过实例对AHP-SPA综合分析模型进行验证,表明了该模型的可行性,因此该文章的理论模型可为民机制造商和航空公司在修理级别确定方面提供理论参考和技术支持。