Application of the finite Hankel transform to a diffusion problem without azimuthal symmetry

The problem treated in this paper concerns calculating the evolution of the pressure in a single-phase, slightly compressible fluid in a porous medium consisting of communicating layers. The fluid is produced through a point sink located on the side of an otherwise sealed cylindrical wellbore. This location of the sink causes the flow around the wellbore to be azimuthally asymmetric.The problem is solved through successive application of Laplace, finite Fourier and finite Hankel transforms. Although apparently straightforward, this approach leads to serious numerical difficulties. The published form of the inversion formula for the finite Hankel transform leads to inaccurate computation for the higher azimuthal modes even with 128 bit arithmetic. An alternative form is developed which enables accurate evaluation of the solution with the more practical 64 bit arithmetic. The technique for two-layer solution presented here can be directly extended to a problem with a larger number of communicating layers. This is the first instance of successful application of the finite Hankel transform to an azimuthally asymmetric diffusion problem.     

含氰基的酚醛树脂及其碳纤维复合材料

含氰基的酚醛树脂，具有优异的耐高温性能和高温下的机械强度，在３１５℃下性能变化甚小；不着火，发烟量低，有良好的加工成型性能。热固化过程中氰基成三嗪环而交联，没有小分子脱出，是一类具有广泛发展前景的新型热固性树脂。     

A STUDY OF J-INTEGRAL OF THE ORTHOTROPIC COMPOSITE MATERIAL

ＡＳＴＵＤＹＯＦＪ－ＩＮＴＥＧＲＡＬＯＦＴＨＥＯＲＴＨＯＴＲＯＰＩＣＣＯＭＰＯＳＩＴＥＭＡＴＥＲＩＡＬＷａｎｇＡｉ－ｑｉｎ（王蔼勤）；ＦｅｎｇＢａｏ－ｌｉａｎ（冯宝莲）；ＹａｎｇＷｅｉ－ｙａｎｇ（杨维阳）（ＴａｉｙｕａｎＨｅａｖｙＭａｃｈｉｎｅｒｙ．...     

复合支护结构核爆冲击波等效静载的不确定性分析

根据中值点处展开的一次二阶矩法讨论了土中压缩波的升压时间及其不确定性，然后研究了按单自由度体系进行复合支护地下结构抗核爆设计时的动力系数（荷载系数）和等效静载的变异系数．数值结果表明，土中压缩波升压时间的不确定性，不仅与结构埋深和土参数的变异性有关，而且与土参数的均值有关，等效静载的不确定性，依赖于作用于结构上的动载变异性和结构自振频率变异性，而动载不确定性对等效静载变异性影响最大     

Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices

The sum of the largest eigenvalues of a symmetric matrix is a nonsmooth convex function of the matrix elements. Max characterizations for this sum are established, giving a concise characterization of the subdifferential in terms of a dual matrix. This leads to a very useful characterization of the generalized gradient of the following convex composite function: the sum of the largest eigenvalues of a smooth symmetric matrix-valued function of a set of real parameters. The dual matrix provides the information required to either verify first-order optimality conditions at a point or to generate a descent direction for the eigenvalue sum from that point, splitting a multiple eigenvalue if necessary. Connections with the classical literature on sums of eigenvalues and eigenvalue perturbation theory are discussed. Sums of the largest eigenvalues in the absolute value sense are also addressed.This paper is dedicated to Phil Wolfe on the occasion of his 65th birthday.The work of this author was supported by the National Science Foundation under grants CCR-8802408 and CCR-9101640.The work of this author was supported in part during a visit to Argonne National Laboratory by the Applied Mathematical Sciences subprogram of the Office of Energy Research of the U.S. Department of Energy under contract W-31-109-Eng-38, and in part during a visit to the Courant Institute by the U.S. Department of Energy under Contract DEFG0288ER25053.     

轧制法生产高复基比不锈复合钢板和钢带的开发应用

不锈钢复合板既具有不锈钢的耐腐蚀性、耐磨性、抗磁性、豪华性和装饰性;又具碳钢良好的可焊性、成型性、拉延性和导热性,还可节约镍铬合金、降低成本,因而具有广阔的发展前景,值得大力推广应用.     

复合桩基中承台内区土阻力群桩效应系数的有限元分析

采用有限元方法，对复合桩基中承台内区土阻力群桩效应系数进行了分析，并编制了相应的有限元程序。应用该程序讨论了桩距、桩数、桩长、土类等对承台内区土阻力群桩效应系数的影响。     

一种分层多播的带宽适应策略

提出了一种基于接收端意见反馈的带宽适应策略。在该策略中，为了避免反馈信息在源端的爆炸，给出了一个路由器分流合并的方法，使得带宽适应策略具有良好的缩放性。     

钨酸铜的生成及其氢还原过程的研究

本文提出一种生产微细钨铜复合粉的方法。将WO_3(或蓝钨)和CuO均匀混合,在空气中焙烧生成CuWO_4,再在氢气中还原,就能制得微细钨铜复合粉,其钨、铜两相分布均匀,钨颗粒细小且分布狭窄。本文详细地研究了钨酸铜的生成及其氢还原过程,与WO_3相比,发现两者的还原相变过程及动力学过程有某些差异。     

Photo-induced effect in the layered perovskite manganite La<Subscript>1.2</Subscript>Sr<Subscript>1.8</Subscript>Mn<Subscript>1.8</Subscript>Co<Subscript>0.2</Subscript>O<Subscript>7</Subscript>

It is helpful to study the photo-induced effect in the perovskite manganites not only for elucidating the mechanism of colossal magnetoresistance (CMR) effect but also for potential applications in technology. The laser-induced effect in the Co doping layered perovskite manganites La_1.2Sr_1.8Mn_1.8Co_0.2O₇, is studied in this paper and the obtained results are also compared with that gained in the Nd-doping manganites with cubic perovskite structure.