标准样件的材料热膨胀系数

材料热膨胀系数的精确获得具有重要的理论研究与应用价值.选用方体、圆柱体和球体三种典型形体试件,对样件形体特征参数在材料热膨胀系数中的影响进行了实验测定和分析,表明了样件形体尺寸对材料热膨胀系数的影响是不容忽视的.经过分析比较,指出球体作为标准样件具有较好的稳定性,有利于获得稳定的材料热膨胀系数值.该方面的发现对材料热物性理论及生产实践具有重要的理论研究与实用价值.     

FINITE ELEMENT EXPANSION FOR VARIABLE COEFFICIENT ELLIPTIC PROBLEMS

The Ritz projections of the elliptic problem(?)(a_(ij)(?)_ju) c_0u=f in Ω,u=0 on (?)Ω,and the quasilinear eiliptic problem(?)(a_i(x,Du)) a_0(x,Du)=0 in Ω,u=0 on (?)Ωwith linear finite elements admit an asymptotic error expansion,respectively,for certain classes of“uniform” meshes.This provides the theoretical justification for the use of Richardson extrapolationfor increasing the accuracy of the scheme from O(h~2) to O(h~4 |ln h|).     

广义变系数KdV,mKdV方程的精确类孤子解

利用截断展开法和延拓齐次平衡法同时求出了广义变系数KdV方程和广义变系数mKdV方程的精确钟状类孤子解 .其基本思想是 :设方程的解形式为u(x ,t) =∑nm=0υm(t)Fm,　F =eα( ξ+ξ0 )1+eα( ξ+ξ0 )代入给定方程确定出n ,并令F的各次幂项的系数为零 ,得到超定可积分方程组 ,由此求出给定方程的精确类孤子解 .     

计算f（k）的一个初等方法

本文利用二项式定理推出前ｎ个自然数的各次方和的公式，进而将写成从而进行有关的计算。     

ZK方程和mZK方程的精确周期解

对Jacobi椭圆函数展开法进行了扩展，并应用该方法找到了Zakharov-Kuznetsov(ZK)方程和mZK方程的若干精确周期解，有些解在一定条件下可以退化为方程的孤立波解．     

梁问题有限元逼近的新估计及超收敛

在改进的单元正效估计的基础上，得到梁问题的ｎ次赫米特有限元ｕｈ∈Ｃ＾１的新误差估计式，以及挠度和导数的最佳阶超收敛。     

含螺栓联接的转子系统轴向刚度不确定性分析

转子系统中螺栓联接结构轴向联接刚度的不确定性对转子系统动力学特性具有重要影响,为此,在构建螺栓联接结构有限单元基础上,建立了转子系统整体有限元模型,采用非嵌入多项式混沌展开法分析轴向联接刚度不确定性对转子系统动力学特性的影响.结果表明:轴向联接刚度在一定范围内变化会导致临界转速及临界转速对应的稳态响应幅值偏离预期,随着轴向刚度不确定性的标准差增大,盘竖直方向稳态响应均值降低.研究结果可为螺栓联接转子的设计提供理论参考.     

混凝土工字梁三点弯曲荷载超声测试

制定并实施了钢筋混凝土工字梁三点弯曲荷载超声测试方案,采集了21个荷载等级下超声波波形,利用泰勒展开式,去除了高阶信号的影响,提取波形幅值变化多阶含量,建立了幅值一阶变化系数与应力变化近似线性曲线。研究表明:钢筋混凝土工字梁超声波幅值一阶变化系数与应力变化拟合曲线拟合优度高于0.99。     

Adjustable thermal expansion in La(Fe,Si)_(13)-based conductive composites by high-pressure synthesis

Providing a suitable contact interface, where a high conductivity material with a desirable coefficient of thermal expansion(CTE) adjoins the target micro-electric devices, is very crucial to optimize the properties and service life of the relevant instruments. Regrettably, a high conductivity, low thermal expansion and relatively inexpensive material is very rare. Composites, fortunately, can offer a method to design materials with adjustable properties by mixing two or more diverse constituents. In this paper, high conductivity composites with adjustable thermal expansion were successfully prepared by a high-pressure synthesis. The composites are based on combining La(Fe,Si)_(13)-based compounds, the materials showing a giant, isotropic negative thermal expansion(NTE) properties, within Cu matrix. The La(Fe,Si)_(13)-based compounds were used to adjust the CTE of the composites, while the Cu phase is in charge of tuning the thermal conductivity properties. Thus, by changing the relative amount of the two components, the composites with high conductivities and adjustable CTE were achieved. Furthermore, the thermal expansion and magnetic properties of the composites were investigated by a physical property measurement system. The present results highlight the potential applications of the Cu-based high conductivity composites with room-temperature NTE properties in the thermal contacts to various semiconductor and microelectronic devices.     

Liouville方程与其约化变换方程的精确解及ψ(ξ)展式法

首先用广义tanh函数法和李群分析法, 分别给出Liouville方程的显式新行波解和群不变解; 其次用Liouville方程的约化变换方程及其精确解, 构造一种有效求解非线性偏微分方程的ψ(ξ)展式法; 最后用ψ(ξ)展式法给出Kawahara方程和(3+1)维Kadomtsev-Petviashvili方程的一些显式新行波解.