四氢吡咯双自由基及其等电子体系不同电子态稳定性和NLO性质的理论研究

摘要所选体系为非路易斯分子,即分子中含有一个可分裂的C—C键,两个电子占据非键分子轨道,对这类分子的能量和稳定性的研究已有报道．根据体系中两个自由基电子相互作用不同,该类分子可能具有三种电子态．本文采用密度泛函和从头算等方法在不同基组水平上,对四氢吡咯双自由基（体系a）及其两个等电子体系的NLO性质进行了理论研究．采用不同方法和基组优化体系a三种电子态的几何结构,     

由一个实例引发的对莫尔理论和双剪统一强度理论的改进

以某型火炮身管设计为例,采用双剪统一强度理论对火炮身管的壁厚进行了设计。然而,在火炮身管强度计算中得出了如下结论:当身管外径平方与内径平方之比小于1+b时,若材料的其它参数不变,材料的压缩屈服极限越大,其所能承受内压的能力越差,b为双剪统一强度理论中的参数。这是有悖常理的。针对该现象本文考虑各主应力的正负取值情况,对库伦—莫尔理论和双剪统一强度理论的改进问题进行了探讨。并应用改进的双剪统一强度理论再次计算,得到了满意的结果。     

半平面双材料角界面应力奇异性分布规律的探究

论文对半平面双材料角受集中力问题的界面应力场作了深入的探究,特别着重于双材料角端点附近的界面应力的奇异性分布规律.论文通过对界面应力的严格解和渐近解[16]的比较,发现在双材料角界面端点邻近,严格解和渐近解的差是一个向端点衰减的微幅震荡分布的应力.这个向端点衰减的微幅震荡应力的起始点,称为转换点.自界面端点到转换点,严...     

Bending of orthotropic plates resting on Pasternak’s foundations using mixed shear deformation theory

The mixed first-order shear deformation plate theory(MFPT) is employed to study the bending response of simply-supported orthotropic plates.The present plate is subjected to a mechanical load and resting on Pasternak’s model or Winkler’s model of elastic foundation or without any elastic foundation.Several examples are presented to verify the accuracy of the present theory.Numerical results for deflection and stresses are presented.The proposed MFPT is shown simplely to implement and capable of giving satisfactory results for shear deformable plates under static loads and resting on two-parameter elastic foundation.The results presented here show that the characteristics of deflection and stresses are significantly influenced by the elastic foundation stiffness,plate aspect ratio and side-to-thickness ratio.     

一个改进的混凝土非线性双剪切强度准则

通过对混凝土、岩石等材料强度理论的分析研究,基于普遍形式强度理论及双剪切强度理论,考虑混凝土在多轴荷载作用下材料强度性质在π平面和拉伸压缩子午线上不同的变化规律,将混凝土的强度准则定义为两个较大主剪切应力平方和的函数;并考虑其对应剪切应力作用面上的正应力和静水压力的影响,推导了一个考虑中间主应力效应和复杂极限面情况的非线性双剪切强度准则;通过实验数据获得了相关参数。结果表明该强度准则可以较好地描述混凝土材料的破坏特性。     

壁面对串列双圆柱尾迹影响的实验研究

为研究壁面对近壁等直径串列双圆柱尾迹特性的影响,用PIV和压力传感器测量尾迹湍流的涡结构及频谱.实验在循环水槽内进行,基于圆柱直径D的雷诺数为1696,壁面边界层厚度为6.6D.影响尾迹流场结构的两个重要的特征参数是T/D和G/D(T为两圆柱中心间的距离,G为圆柱下表面与壁面间的距离),文中主要考察G/D的影响.实验中...     

Optimal investment with transaction costs based on exponential utility function: a parabolic double obstacle problem

This paper concerns optimal investment problem with proportional transaction costs and finite time horizon based on exponential utility function. Using a partial differential equation approach, we reveal that the problem is equivalent to a parabolic double obstacle problem involving two free boundaries that correspond to the optimal buying and selling policies. Numerical examples are obtained by the binomial method.     

校车安排问题

探讨如何安排校车运行使得教师和工作人员尽量满意的问题.首先建立动态规划模型和选址规划模型,求出合理站点位置及其总距离.然后用归一法定义满意度与距离的函数关系,考虑各区域人数,建立选址规划模型.得到合理站点位置和总满意度.之后建立双目标非线性规划模型,利用量纲分析法给出权重,以此求出合理乘车位置和满意度.最后对问题进行推...     

Orthosymplectic Quantum Function Superalgebras OSPq（2l＋ 1｜2n）

By the R-matrix of orthosymplectic quantum superalgebra U _q (osp(2l+1|2n)) in the vector representation, we establish the corresponding quantum Hopf superalgebra OSP _q (2l + 1|2n). Furthermore, it is shown that OSP _q (2l + 1|2n) is coquasitriangular.     

Notes on piecewise-Koszul algebras

The relationships between piecewise-Koszul algebras and other “Koszul-type” algebras are discussed. The Yoneda-Ext algebra and the dual algebra of a piecewise-Koszul algebra are studied, and a sufficient condition for the dual algebra A ^! to be piecewise-Koszul is given. Finally, by studying the trivial extension algebras of the path algebras of Dynkin quivers in bipartite orientation, we give explicit constructions for piecewise-Koszul algebras with arbitrary “period” and piecewise-Koszul algebras with arbitrary “jump-degree”.