多项式插值余项定理的一个自然证明

通过对插值多项式函数性质进行分析,多项式插值余项的基本形式得到诱导,再从该基本形式出发,获得了多项式插值余项定理的新证明.整个证明过程无需借助辅助函数的构造,因而显得较为自然.这种自然证明的方式也可用于Hermite切触型插值多项式余项的证明.     

猪瘟病毒野强毒株持续感染细胞模型的初步研究

经过筛选和连续传代，建立了稳定的猪瘟病毒野强毒株(csFv22)感染猪肾传代细胞系(PK—15)的持续感染细胞模型，获得csFV22—PK15病毒持续感染的传代细胞株．用免疫荧光技术、RT—PcR技术、透射电镜、流式细胞仪研究了csFV22—PK15细胞株连续传代中病毒在细胞内持续感染的基本特性．结果显示传代细胞表现为病毒持续感染的基本特征．     

CO2激光退火不同外径锗芯光纤的扫描速度研究

对内径为41～43μm,外径约为188μm、251μm和270μm的锗芯光纤进行激光退火实验,研究CO₂激光沿光纤轴向扫描速度对锗芯拉曼峰频率和光传输损耗特性的影响。研究发现,激光扫描速度是决定退火后光纤特性的重要参数。对不同外径的光纤,达到最优退火效果的激光扫描速度不同,188μm、251μm和270μm外径的锗芯光纤分别为10 mm·s^-1、14 mm·s^-1和16 mm·s^-1,光传输损耗分别为3.435 dB·cm^-1、2.147 dB·cm^-1和3.578 dB·cm^-1。使用COMSOL软件对退火过程中纤芯表面固定点的温度变化进行了模拟仿真研究,仿真结果显示激光退火过程中温度呈脉冲形变化。相同外径条件下,激光扫描速度提高,温度脉冲的峰值升高、谷值降低、单脉冲持续时间缩短;相同扫描速度条件下,光纤外径减小,温度脉冲峰值提高,谷值降低。     

The applications of generalized variational principles in nonlinear structural analysis

This paper discusses the generalized variational principles founded by thetechnique of Lagrangian multipliers in structural mechanics and analyzes the nonlinearstatically indeterminate structures.It is assumed that the stress-strain relationship ofthe materials of structures has the form ofσ=Bε~(1/m)orτ=Cγ~(1/m),namely,thephysical equations of structures have the shape of exponential functions.Severalexamples are given to illustrate the statically indeterminate structures such as thetrusses,beams,frames and torsional bars.     

悬臂矩形板的弯曲稳定和振动

本文用变分法讨论悬臂矩形板的弯曲、稳定和振动的问题,文中举了很多的算例.     

The bending,stability and vibrations of rectangular plates with free edges on elastic foundations

This paper discusses the problems of the bending, stability and vibrations of the rectangular plates with free boundaries on elastic foundations. In the present paper we select a flexural function, which satisfies not only all the boundary conditions of free edges but also the conditions at free corner points, and consequently we obtain a better approximate solution. The energy method is used in this paper.     

The dynamic computation of closed cylindrical shell under impact load

This article discusses the dynamic computation of the closed cylindrical shell under impact load. In the text we analyse the changes of the momenta and the energy on each stage in the impact process, take into account the effect of the mass of impact object and the system of the closed cylindrical shell by impact, and transform the distributed mass of the whole cylindrical shell into an only concentrated equivalent mass by the method of reduced mass. Consequently we derive the dynamic factor of the closed cylindrical shell due to impact load. The method proposed in this paper is of practical worth and is more convenient in calculations.     

快速傅里叶变换的并行计算

本文是"快速傅里叶变换向量化程序包"研制工作的部分内容,主要介绍一维、二维复数据快速傅里叶变換的并行计算方法及其计算效率。在银河机(YH—1)上的计算实践表明,向量运算比相应的标量运算,平均可提高功效数十倍。     

On some problems in dynamic computation for thin-walled structures

This article discusses the problems of the dynamic computation for thin-walled structures such as thin plates and thin shells under impact load to find the dynamic factor mainly. In calculation we take into account the effect of the mass of the striking object and the system of thin-walled structures to be struck and transform the distributed mass of thin-walled structures into only one concentrated equivalent mass by the method of reduced mass. Accordingly we derive the dynamic factor for the system of thin-walled structures under impact load.