无约束最优化的一类非单调信赖域算法

提出无约束最优化的一类非单调信赖域算法 .在适当的条件下 ,证明此算法的全局和Q 二次收敛性 ,还讨论了步长和信赖域半径的几种选取规则 .     

On the development of rational approximations incorporating inertial effects in coating and rimming flows: a multiple-scales approach

Analysis of thin-film rimming and coating flows is extendedto create a more general model, which can be identified as anew distinguished limit that has the work of certain previousstudies as specific limiting cases. Specifically, three-dimensionalflows under the influence of gravity are considered in whichthe Reynolds number is large enough to necessitate considerationof both inertial and centrifugal effects, along with those ofviscous, gravitational and surface-tension forces. Reductionof dimensionality is shown to be attainable within a systematic(multiple-timescale) asymptotic framework that encompasses allthese effects, leading to a two-dimensional formulation thatnot only is more general than many of the existing ones butalso represents a rational approximation in the sense that,in particular, the sizes of the dimensionless physical parametersto which it corresponds, together with the orders of magnitudeof the errors resulting from the reduction, can be preciselycharacterized.     

Circular oscillations of a cylinder in a viscous fluid

Summary The steady streaming velocity induced by the circular motion of a cylinder of elliptic cross-section in a viscous fluid is considered. The amplitude of this circular motion is supposed small compared with a typical diameter of the cylinder, which maintains a fixed orientation throughout the motion. Outside the Stokes shear-wave layer Reynolds stresses contribute to the induced steady streaming. The outer flow is calculated in the case of large streaming Reynolds numbers for two particular cylinders.

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Zusammenfassung Es wird die stationäre Strömung untersucht, die durch die kreisförmige Bewegung eines Zylinders mit elliptischem Querschnitt in einer zähen Flüssigkeit induziert wird. Die Amplitude dieser Kreisbewegung wird als klein angenommen gegenüber den Halbachsen der Ellipse, deren Orientierung während der Bewegung unverändert bleibt. Ausserhalb der Stokes-Schicht tragen die Reynolds-Spannungen zur Induzierten stationären Strömung bei. Die äussere Strömung wird im Falle von grossen Reynolds-Zahlen der Strömung für zwei besondere Zylinder berechnet.

     

High-K quasiparticle structures in 159Er and 160Er

A series of new strongly coupled high-K, multi-quasiparticle structures have been observed in the light erbium transitional nuclei, ¹⁵⁹Er and ¹⁶⁰Er. The interpretation of these bands is discussed within the framework of the cranked shell model. These sequences, when taken together with the existing quasiparticle excitations, form a near complete set of low-lying, multi-quasiparticle structures on which a coherent series of aligned angular momentum, band crossing and blocking arguments can be based. The measured B(M1)/B(E2) ratios are compared with geometrical calculations to test the proposed configuration assignments. Received: 19 November 1997     

Numerical analysis of boundary integral solution of the Helmholtz equation in domains with non-smooth boundaries

In the paper we carry out a complete analysis of several efficientnumerical methods for the solution of boundary integral equationsdefined on a non-smooth boundary. In particular the solutionof the Helmholtz equation in the exterior of a closed wedgeis studied. The analytical behaviour of the solution of theresulting boundary integral equation (with a non-compact operator)near the wedge is investigated. Numerical analysis of the collocationand iterated collocation method for the problem is presented.Graded meshes are used to reflect the ‘singular’behaviour of the analytical solution, as well as the degreeof the polynomial approximant, in order to yield results with‘optimal convergence rates’. Finally the convergenceanalysis of some modified two-grid iterative methods for thefast solution of the resulting linear systems is given and numericalresults are presented which agree with the theoretical predictions.     

氢分子在几种高铬镍合金钢中微扩散所引起的内耗峰

用扭摆作内耗测量,发现八种高铬镍合金钢中含氢可以引起内耗峰。当振动频率约为每秒1.5周时,内耗峰的巅值温度在610—640℃附近。用其中一种高铬镍合金钢试样(18Cr 12Ni)进行了系统的实验,指出这个内耗峰的基元过程是一种弛豫过程,所包含的激活能约为46,000—50,000卡/克分子。根据激活能的数值以及内耗峰在升温、降温和保温时的变化情况,可以认为这个新内耗峰是由於氢分子在钢中微扩散所引起来的。内耗测量的结果也指出了在18Cr 12Ni钢中在特定的升温、降温速度下氢分子舆氢原子的转变温度范围,所得的结果舆资料上的相合。     

Measurement of the cascade time of ∑ in liquid helium

In a study of ∑⁻π⁺ production by stopped K⁻ in liquid helium, (19 ± 6)% of stopped ∑⁻ were observed to decay. This corresponds to a “cascade time” of 28 ± 8 psec.     

超细颗粒γ-Fe2O3微粉包钴前后的各向异性

本工作利用穆斯堡尔谱并配合其它研究手段,测量了超细γ-Fe₂O₃微粉在包钴和不包钴两种情况下的各向异性常数K;观察到前者比后者的各向异性常数K增加30％左右。对普通针状包钴型γ-Fe₂O₃磁粉矫顽力增大的原因提供了进一步的说明。 关键词：     

高碳和低碳马氏体回火分解产物的共格性所引起的内耗峯

已往的研究结果指出,高碳和低碳马氏体在回火分解过程中分别在130℃和150℃出现一个内耗峯。本文根据内耗峯的出现和消逝的条件,较有系统地研究了高碳和低碳马氏体的回火分解和分解产物的形成和破坏,从而指出了这内耗峯确与分解产物与母体的共格性有密切联系。研究结果指出,无论在高碳或低碳马氏体的情形,这个内耗峯(内耗表示为温度的函数)的位置并不随测量频率的改变而改变,内耗峯的高度随着测量内耗时的应变振幅的增大而升高。这说明内耗峯并不是由于一种弛豫过程所引起的,这可能是所有的共格性内耗峯的一个特点。根据这一特点,认为内耗峯可能是由于共格界面在应力感生下的移动所引起来的。对于产生内耗峯的机构提出了初步看法。     

镍碳固溶体在范性形变过程中的位错内耗

在小型拉力试验机上测量了含有不同碳量的镍在范性形变过程中的低频内耗,观察到当含碳量在某一适当范围以内时,内耗-应变曲线上出现了一系列的峯值。研究了不同热处理条件、预先冷加工以及测量温度对于这种内耗现象的影响。初步认为这一系列峯值是由于位错气团在形变过程中的更迭形成和解脱所引起的。