基于失效分析的独立均匀随机变量和的分布及应用初探

数学模型是基于材料失效分析提出来的,同时结合了BS模型的方法理论背景.材料样品在周期性应力作用下,主因裂纹的扩大量是一个随机变量.对于均匀材料,主因裂纹的扩大量可看作是均匀随机变量与一个大于零的实数的乘积,材料主因裂纹的总的扩大量可表示为这些独立均匀随机变量的和,或称为加权随机和.实际上,本文给出一类新的随机模型及其概率分布函数,并初步讨论了该模型分布的一些基本特征,通过数值模拟还讨论了其独特的分布特征,如与正态分布的关系与区别,以及该模型分布收敛于正态分布的速度等.这些工作可为材料失效分析提供新的模型与方法.     

Characteristic tilting modules and Ringel duals

The characteristic tilting modules of quasi-hereditary algebras which are dual extensions of directed monomial algebras are explicitly constructed; and it is shown that the Ringel dual of the dual extension of an arbitrary hereditary algebra has triangular decomposition and bipartite quiver.     

Experimental study of a high power and high efficiency CW diode-side-pumped Nd:YAG laser

This paper reports on the characterization of a diode-side-pumped CW Nd:YAG laser. A side-pumped configuration with 9 laser diodes is used for the laser. Pump light is directly coupled into the Nd:YAG rod without focusing lenses and the pump light distribution in the Nd:YAG rod was calculated. A maximum output power of 150 W in multimode operation is obtained for a pumping power of 400 W. The optical–optical efficiency is 37%. Output power of the laser under different output couplers, resonator lengths and temperatures of the cooling water have been studied.     

So1-Gel法制备键合型有机/无机复合非线性光学材料

以含对硝基苯胺生色团的烷氧基硅烷染料和正硅酸乙酯为原料,通过溶胶-凝胶法合成了含对硝基苯胺生色团的键合型有机/无机复合非线性光学材料.在这种有机生色团与无机玻璃键合形成的交联网络中,无机玻璃的刚性三维结构和优良的高温稳定性能有效抑制非线性光学生色团的极化松弛.二阶谐波信号(SHG)测量表明,这种有机/无机复合材料的二阶非线性光学系数(d33)值达到4.62 × 10-8esu;NLO稳定性也较好;室温下90d后d33值维持初始值的84.5%,100℃下放置300min后d33值维持初始值的51%.     

L波段相对论速调管输入腔研究

 介绍L波段强流相对论速调管放大器输入腔的数值分析、新型的结构设计和实验调试及其应用等方面的情况, 对输入腔进行了特别的结构设计, 解决了大耦合孔对谐振腔参数的不良影响, 设计符合RKA应用的要求。均匀电子束经过输入腔后, 得到了约6％的最大基波调制电流深度。     

基于数字仿真的收益管理整合决策

对航空公司收益管理进行机票定价和座位存量分配的整合研究。应用计算机仿真算法动态构造民航收益管理系统中的需求预测模型,并根据航班收益最大化原则,确定价格与座位存量分配,根据需求变化实时调整价格和座位存量。仿真运算结果显示,该算法可以使航空公司不同航班收益比固定价格提高2%以上。     

Physicochemical characterization of the Strychnos alkaloids by capillary zone electrophoresis.

A capillary zone electrophoresis (CZE) method has been developed for investigating the physicochemical characteristics of five Strychnos alkaloids in Strychnos nux-vomica L. Firstly, the dissociation constants of the five Strychnos alkaloids were determined, based on the relation between the effective mobility of the solutes and the buffer pH. The mathematical relationship was strictly deduced from the fundamental electrophoretic theory and the dissociation equilibrium. Secondly, an equation describing the relation between the migration time of alkaloids of similar structure and their molecular weights was developed and used to predict the migration order and to calculate the electrosomotic velocity. The results predicted by the theory agreed with those from experiments.     

四阶奇异边值问题正解的多重性与无解性

应用不动点指数理论和上下解的方法,研究了一类非线性四阶微分方程组奇异边值问题,给出了其正解存在性与无解性定理.