The best quadrature formula based on Hermite information for the class KW~2[a,b]

The best quadrature formula has been found in the following sense:for afunction whose norm of the second derivative is bounded by a given constant and thebest quadrature formula for the approximate evaluation of integration of that function canminimize the worst possible error if the values of the function and its derivative at certainnodes are known.The best interpolation formula used to get the quadrature formula aboveis also found.Moreover,we compare the best quadrature formula with the open compoundcorrected trapezoidal formula by theoretical analysis and stochastic experiments.     

Power Exponents of Aperiodic Pseudovarieties

n such that the iterated power P ⁿV is the pseudovariety of all finite semigroups.     

几种应变检测的光力学测试方法及其比较

应变测量技术在工程应用中有重要意义.一是它可以直接用来获得应力场,可以用来评价材料的安全性和可靠性;二是应变梯度很大的部位往往又是材料破坏的起始点,所以应变测量又可以用于进行材料的无损检测.当前几种光力学方法受到了重视,即云纹干涉法、电子剪切散斑干涉法和数字相关散斑法,对上述方法的原理、光路设计、特点作了介绍,以便这些传统方法的进一步推广,文中还特别介绍了一种作者近来在国内率先开展的微压痕应变花法.这一方法可以方便用于金属等材料上,可以较精确定量研究测试物体的应变而且对刚体位移不敏感,应用起来更加直接和方便,更有推广和应用前景.本文有利于针对研究对象的特点,选用更加合适的应变测量方法.     

基于BESO算法的涡轮盘拓扑优化

涡轮盘作为航空发动机的核心部件之一,其轻量化设计对航空发动机效率提升至关重要。基于双向渐进结构优化算法（bidirectional evolutionary structural optimization, BESO）拓扑优化模型,使用灵敏度过滤的方法抑制棋盘格现象,用ANSYS的参数化设计语言（ANSYS parametric design language, APDL）编写拓扑优化程序,对离心载荷作用下的涡轮盘进行结构优化,并通过施加叶片等效载荷的方式,考虑叶片对于优化结果的影响。结果表明,使用编写的算法进行拓扑优化迭代步数减少,显著提升优化效率,在减重26%的条件下,拓扑出的新的结构模型结构总应变能降低48%,结构刚度提升,最大等效应力降低25%且应变能和应力分布更均匀合理。

     

Dynamics of implicit operations and tameness of pseudovarieties of groups

This work gives a new approach to the construction of implicit operations. By considering ``higher-dimensional' spaces of implicit operations and implicit operators between them, the projection of idempotents back to one-dimensional spaces produces implicit operations with interesting properties. Besides providing a wealth of examples of implicit operations which can be obtained by these means, it is shown how they can be used to deduce from results of Ribes and Zalesski, Margolis, Sapir and Weil, and Steinberg that the pseudovariety of -groups is tame. More generally, for a recursively enumerable extension closed pseudovariety of groups , if it can be decided whether a finitely generated subgroup of the free group with the pro- topology is dense, then is tame.

     

Atomic transport and chemical stability during annealing of ultrathin Al2O3 films on Si

Ultrathin films of Al2O3 deposited on Si were submitted to rapid thermal annealing in vacuum or in oxygen atmosphere, in the temperature range from 600 to 800 degrees C. Nuclear reaction profiling with subnanometric depth resolution evidenced mobility of O, Al, and Si species, and angle-resolved x-ray photoelectron spectroscopy revealed the formation of Si-Al-O compounds in near-surface regions, under oxidizing atmosphere at and above 700 degrees C. Under vacuum annealing all species remained essentially immobile. A model is presented based on diffusion-reaction equations capable of explaining the mobilities and reproducing the obtained profiles.     

一种紫外-可见光谱法检测水质COD的浊度影响实验研究

消除浊度影响是直接光谱法检测水质COD的关键技术问题。此源于紫外-可见光谱法检测水质参数的关键依赖于化学计量法所建立的准确的水质参数分析模型,而浊度是影响其建模的一个重要参数。为此,选取福尔马肼浊度液和邻苯二甲酸氢钾标准溶液,开展了紫外-可见吸收光谱法检测水质COD的浊度影响实验研究,获得了选定溶液在245,300,360和560 nm几个特征波长点的吸光度随浊度变化的最小二乘法拟合曲线,分析了吸光度随浊度的变化规律。研究结果表明,在240～380 nm的紫外光谱段,由于引起浊度的颗粒物对有机物产生了吸附,致使浊度对水样的紫外光谱影响较为复杂;在380～780 nm的可见光谱区域,浊度对光谱的影响则是随着波长的增大而减弱。基于此,开展了多元散射校正法对受浊度影响的水样光谱进行校正试验。对某溪水水样的紫外-可见吸收光谱进行多元散射校正,通过处理前后光谱对比表明,浊度引起各个波长点的基线偏移都得到了有效的校正,而在紫外区域特征并未减弱。接着对选取的三种液体的紫外-可见吸收光谱进行多元散射校正,实验结果表明：该方法可在不影响水样紫外-可见吸收光谱特征的前提下对其吸收曲线进行有效的校正,这不仅提高了光谱法检测水质COD的信噪比,而且还为化学计量法建立准确、有效的水质检测COD分析模型进行数据预处理提供了一种新途径。