微孔膜内大分子有效扩散系数的计算

报道一种计算分子尺寸与构型对微孔内大分子有效扩散系数影响的理论方法。基于刚性圆球分子在圆柱型孔内的扩散理论，定义分子平均投影半径和水力学球半径，分别用于估算孔内外浓度分配系数和孔内水力学拖曳力。对不同构型的大分子，使用该法计算的有效扩散系数与已发表的实验数据吻合良好。     

关于不等式2x/π＜sinx＜x,x∈(0,π/2)的四种证法

运用微分方法给出该不等式的四种证法：①中值定理证法；②单调性证法；③极值证法；④凸凹性证法。     

仿古唐三彩碎纹釉的研制

介绍了在ＳｉＯ２－ＰｂＯ－Ｆｅ２Ｏ３红色彩绘料基础上，根据 α坯＜α釉且差值 α＞４．０×１０－６１／ｋ的原则，通过添加热膨胀系数大的熔剂原料来增大坯釉不适应性，使釉面产生均匀分布的网状裂纹制成了一种视觉效果良好的唐三彩碎纹釉，同时对其碎纹机理作了初步探讨。     

二阶电路衰减系数α的修正

欠阻尼情况的RLC串联电路,用同频率的正弦波替代电感、电容两端的振荡波,测出电路的附加损耗,对衰减系数的理论值进行修正,可使衰减系数的实验值与理论值趋于一致。     

三种样本相关系数之内在联系

论证了积差相关系数、点二列相关系数和等级相关系数等三种样本相关系数,都是同一概念和公式的不同应用和表现.所述的三种相关系数的使用条件要从它们的原始来源中来理解和要求.     

Experimental Study of Structure Shock Vibration in Soil Caused by Explosion of Conventional Weapons

When hitting underground structures directly or exploding in rock-soil media near underground structures, the conventional weapons with large charge weight will make underground structures be subjected to strong shock vibration and cause personal casualty and damage of precision electronic equipments. The shock vibration has become one of the cardinal killing means of weapons. However, the existing methods of predicting structure shock vibration are limited evidently. In this paper the coupling coefficient of acceleration in clayey soil is obtained firstly. Subsequently based on repeated experiments of chemical explosion, after dimension analysis and by using method of multivariate stepwise regression, the calculation formulae of shock vibration acceleration for the underground structure are obtained finally. The formulae consider top and side explosion respectively, taking into account the effects of penetration depth, charge weight, distance to explosion center, rock-soil media, size of structure and buried depth. They are easy to use with high practicability and degree of confidence, and can provide credible evidence for prediction of shock vibration and vibration isolating design of underground structure.     

谐振子量子制冷循环性能的优化分析

基于量子主方程和半群逼近研究以谐振子系统为工质，由两个等温和两个等谐振子数过程组成的不可逆谐振子量子制冷循环的一般性能特性，导出了制冷循环的制冷系数、制冷率、输入功和熵产率等重要参数的一般表达式．并详细讨论了高温极限下谐振子量子制冷循环的优化性能，导出了最大制冷率和相应的制冷系数．所得结论可为非常规工质低温制冷循环的优化设计提供理论基础．     

Equivalent Kelvin Impact Model for Seismic Pounding Analysis of Bridges

Based on Hertz contact theory, a method to determine the parameters of Kelvin impact model for seismic pounding analysis of bridges is proposed. The impact stiffness of Kelvin model is determined by the ratio of maximum impact force to maximum contact deformation, which is calculated based on Hertz contact theory with considering the vibration effect. The restitution coefficient which has great influence on the damping coefficient of Kelvin impact model is investigated by numerical analysis. Numerical results indicate that the impact stiffness of Kelvin impact model increases with the increment of the Hertz contact stiffness, approaching velocity or the length ratio of short to long girders. Vibration effect has remarkable influence on the impact stiffness and cannot be neglected. The restitution coefficient decreases when approaching velocity increases or the length ratio of short girder to long girder decreasing. The practical ranges of impact stiffness and restitution coefficient are obtained as 3×108-6×108 N/m and 0.6-0.95 respectively.     

变系数一阶线性时滞微分方程的一个可积判据

首先引入广义周期函数的概念．然后给出了变系数一阶线性时滞微分方程的一个实用的可积充分判据，从而扩大了常微分方程的封闭求积范围．     

整系数多项式不可约判别法

多项式在有理数域上可约的问题可以归结到整系数多项式能否分解成次数较低的整系数多项式的乘积的问题．Kronecker和Eisenstein分别给出了整系数多项式在有理数域上是否可约的判别方法，本文给出了另外一个判别整系数多项式不可约的判别法，对Eisenstein判别法予以补充．