ON A CLASS OF METHOD FOR SOLVING PROBLEMS WITH RANDOM BOUNDARY NOTCHES AND/OR CRACKS-(Ⅳ)Computations for Deep Boundary Notches and/or Cracks

This paper continues the discussions to a class of method for solving problems withrandom boundary notches and/or cracks in references by C.Ouyang in [1](See also[2]and[3]).Using the basic method given in this reference as well as some further developments.We develop here a new effective computational method for solving random deep boundarynotches and/or cracks.The actual numerical computations given in this paper show that thepresent method is quite workable and the results obtained have enlarged the contents of“Handbook of Stress Intensity Factors”given by G.C.Sih.     

基于数字微镜阵列的协同目标跟踪系统设计

针对多镜头目标跟踪系统协同性差及单镜头系统目标跟踪观测过程中视场小、无法实现宽视场跟踪的现状,设计了能同时实现宽视场跟踪窄视场局部目标检测的协同跟踪系统。该系统基于数字微镜阵列高反射率、高性能视场分割的特点。验证实验中,宽窄视场分割系统实现了50 ms的协同成像周期;窄视场像中心调整系统不超过2%的绝对位置误差,为局部目标光束中心难以与窄视场成像系统视轴重合问题的解决提供了实验依据。     

Pair correlations in scale-free networks

Correlation between nodes is found to be a common and important property in many complex networks. Here we investigate degree correlations of the Barabasi－Albert (BA) scale-free model with both analytical results and simulations, and find two neighbouring regions, a disassortative one for low degrees and a neutral one for high degrees. The average degree of the neighbours of a randomly picked node is expected to diverge in the limit of infinite network size. As a generalization of the concept of correlation, we also study the correlations of other scalar properties, including age and clustering coefficient. Finally we propose a correlation measurement in bipartite networks.     

关于任意边界缺口或裂纹群问题的一类解法——(Ⅲ)边界裂纹群的计算*

本文是文献[1]、[2]关于任意边界缺口或裂纹群问题的一类解法研究的继续。这里我们利用和发展了文献[1]、[2]所提出的理论和计算公式,对边界裂纹群问题进行了实际计算.数值计算实例表明:本文所给出的方法在特征参数适当的范围内是行之有效的.本文的结果扩充了“应力强度因子手册”中的工作.     

关于任意边界缺口或裂纹群问题的一类解法——(Ⅱ)缺口群的计算

本文是欧阳鬯所作文“关于任意边界缺口或裂纹群问题的一类解法(I)解析方法”的继续。这里我们利用该文提出的理论和公式对缺口群问题进行了实际计算。在计算中对该文陈述的参数平面上边界条件计算方法作了改动。数值计算实例表明:在所研究的特征参数,例如本文中的L,的适当范围内,所叙述的方法是行之有效的。     

网络"建筑学"

复杂网络系统普遍地存在于自然界与人类社会中，对它们的研究也具有广泛而重要的意义．我们如何来认识和区分晶格、Internet和一个生态食物链?它们又是如何演化的?在这些网络背后，是否隐藏着某种无形的组织原理?近年来，借助强大的计算工具，人们对网络的认识发生了巨大的改变，文章以小世界、集团化和无标度等新的概念为中心，介绍了其中的研究进展．     

绝热气缸-导热活塞系统的振动特性

用计算机模拟的方法研究了绝热气缸中导热活塞的振动特性。在自由振动或受迫振动的情况下，系统在总体上都是和一个普通的阻尼振子相似的。与此同时，本也指明并分析了该热力学系统的一些独特而有趣的性质。     

喇曼分光仪中杂散光的测试

本文讨论了喇曼分光仪中杂散光测试工作的实施方案及其存在的困难,提出了用改变光吸收液体浓度方便地增减光强进行测试的解决办法,利用普通仪器就能实现光强变化达十三个数量级的测试。文章给出了利用这一减光方法对喇曼分光仪的杂散光进行实际测试的实验装置,绘出了对SD-Ⅱ和SD-IV型全息凹面光栅单色仪以及双单色仪杂散光的实际测试结果。作者还对统一杂散光指标的测试条件提出了建议。     

Critical slowing down of the Gaussian spin system on diamond—type hierarchical lattices

Based on the single-spin transition critical dynamics, we have investigated the critical slowing down of the Gaussian spin model situated on the fractal family of diamond-type hierarchical lattices. We calculate the dynamical critical exponent z and the correlation-length critical exponent ν using the dynamical decimation renormalization-group technique. The result, together with some earlier ones, suggests us to conclude that on a wide range of geometries, zν=1 is the general relationship, while the two exponents depend on the specific structure. However, we have investigated for various lattices in an earlier paper, the system studied in this paper shows highly universal z=1/ν=2 independent of the structure and the dimensionality.     

ON A CLASS OF METHOD FOR SOLVING PROBLEMS WITH RANDOM BOUNDARY NOTCHES AND/OR CRACKS (Ⅱ) COMPUTATIONS FOR BOUNDARY NOTCHES

This work is a continuation of the discussion of [1], "On a class of method for solving problems with random boundary notches and/or cracks, (Ⅰ)" by C. Ouyang (Appl. Math. & Mech.,Vol. 1, No. 2, 1980). Here computations for boundary notches are made by using the theory and formulas presented in [1]. In the computation modification is also made for the boundary conditions in parametric plane in [1]. Numerical results for examples show that within ranges of parameter considered in the paper, for example L, the present method in quite workable in practical computations.