激光远场焦斑测试技术研究

激光远场分布测量一直存在两方面的困难：一方面是由于波面畸变具有不确定性，使得焦平面位置不易确定；另一方面是焦斑“主瓣”和“旁瓣”光能密度相差悬殊，无如此大动态范围的探测器。此文针对现有的激光远场测试的3种常用方法(长焦距透镜法、列阵相机法、Rame Pair法)进行了实验研究。首先需要建立一个实验平台，3种激光远场测试方法在相同的测试条件下对激光束的相同位置进行测试，以减少比对误差。光路排布如图1所示。图1中虚线所包围的部分即3种测试方法的光路排布，由这3种方法分别测得的焦斑和焦斑列阵并通过一定的算法重构焦斑，所得结果比对如图2。     

Investigation on nonequlibrium radiation and relaxation phenomena in shock tubes

The experimental results for the excited time of the nonequlibrium radiation and the ionization behind strong shock waves are presented. Using an optical multichannel analyzer, InSb infrared detectors and near-free-molecular Langmuir probes, the infrared radiation, the electron density of air and the nonequlibrium radiation spectra at different moments of the relaxation process in nitrogen test gas behind normal shock waves were obtained, respectively, in hydrogen oxygen combustion driven shock tubes. The project supported by the National Natural Science Foundation of China (19982005 and 10032050), and the National Defense Science Foundation of China (95JBA4.2ZK0402)     

1998年高中联赛一道加试题的别解

问题对图1，O、I分别为△ABC的外心和内心，AD是BC边上的高，I在线段OD上．求证：△ABC的外接圆半径等于BC边上的旁切圆半径．证明1记a、b、c、r、R、、分别为西ABC的顶点对边、内团圆半径、外援国半径及BC边上着团圆半径，则S。。。一会r。（b＋c—a），另一方面，设AI的延长线交面ABC的外接圆于K，连OK交BC于F，则OK上BC，作IE上BC于E，易知：AD／／IE／／OK，IE—r．比较①②得r。一R（结论成五）．证明2（边和半径记法同证法1）则另过I作IE上BC于E，过O作OF上虫③④可得r。一R．证法3to图3，连AIrt延长交①O…     

关于有效点与真有效点的几个定理

本文推广了Ｂｅｎｓｏｎ真有效点的定义，给出了凸锥相对内部的一个刻划，并在无尖性假设情况下，利用凸锥相对内部的刻划，证明了Ｈａｒｔｌｅｙ真有效点与改进的Ｂｅｎｓｏｎ真有效点是等价的；同时给出了一些有效点与真有效点标量化的一些结果．     

一类非线性系统解的有界性

研究了一类非线性微分系统解的有界性 ,所获结果可应用于Li啨ｎａｒｄ类型的方程 ,改进与扩展了众多已有文献中的结果     

考虑非线性变形的航天器柔性附件建模方法

针对航天器的柔性附件,将其简化为常见的大范围运动空间柔性梁结构。根据柔性体的非线性变形原理,考虑了弯曲和扭转的非线性因素的影响,在柔性梁的三个变形方向上均考虑了变形的二次耦合项。利用有限元方法进行离散并用Lagrange方程建立了非线性变形模式下的动力学方程,包含了较为完全的刚度矩阵和各种耦合项。对一大范围运动的空间梁进行了仿真计算,表明在运动速度较大并且基座具有大范围运动时,一次耦合模型与本文模型有一定差异,且初始变形对两种模型也会产生影响。     

An investigation of electromagnetic wave propagation in plasma by shock tube

This paper presents the electromagnetic wave propagation characteristics in plasma and the attenuation coefficients of the microwave in terms of the parameters he, v, w, L, wb. The φ800 mm high temperature shock tube has been used to produce a uniform plasma. In order to get the attenuation of the electromagnetic wave through the plasma behind a shock wave, the microwave transmission has been used to measure the relative change of the wave power. The working frequency is f = (2-35)GHz (ω=2πf, wave length A =15cm-8mm). The electron density in the plasma is ne = (3×10^10-1×10^14) cm^-3. The collision frequency v = (1×10^8-6×10^10) Hz. The thickness of the plasma layer L = (2-80)cm. The electron circular frequency ωb=eBo/me, magnetic flux density B0 = (0-0.84)T. The experimental results show that when the plasma layer is thick (such as L/λ≥10), the correlation between the attenuation coefficients of the electromagnetic waves and the parameters ne,v,ω, L determined from the measurements are in good agreement with the theoretical predictions of electromagnetic wave propagations in the uniform infinite plasma. When the plasma layer is thin (such as when both L and A are of the same order), the theoretical results are only in a qualitative agreement with the experimental observations in the present parameter range, but the formula of the electromagnetic wave propagation theory in an uniform infinite plasma can not be used for quantitative computations of the correlation between the attenuation coefficients and the parameters ne,v,ω, L. In fact, if ω<ωp, v^2<<ω^2, the power attenuations K of the electromagnetic waves obtained from the measurements in the thin-layer plasma are much smaller than those of the theoretical predictions. On the other hand, if ω>ωp, v^2<<ω^2 (just v≈f), the measurements are much larger than the theoretical results. Also, we have measured the electromagnetic wave power attenuation value under the magnetic field and without a magnetic field. The result indicates that the value measured under the magnetic field shows a distinct improvement.     

预估结构中的塑性破坏或蠕变疲劳破坏的损伤模型

本文采用卡恰诺夫(Kachanov)的有效应力,从热力学概念发展了损伤的力学理论.对于各向同性的三维损伤,引入当量标量应力,该应力是平均应力和八面体剪应力的线性组合.从而建立了塑性、蠕变和疲劳损伤现象的本构方程.本文阐述了对各类材料验证这三种模型所必要的试验和方法,并且将损伤度量与弹性、塑性或粘塑性效应相联系.本文还给出解预估局部破坏的损伤方程的一些方法上的启示.     

土体极限平衡理论应用的特例

本文探讨在莫尔－库仑准则下，黄土的增湿极限平衡特征和增湿剪切破坏条件，通过试验表明黄土强度指标随含水量增大而降低．文中区分的两种弹性平衡状态可供黄土地区的土木工程可靠性分析做参考     

含能液滴间相互作用对着火、燃烧过程的影响

在控制再生式液体发射药火炮燃烧稳定性的背景下，采用挂滴装置和高速摄影系统开展了 ＨＡＮ基液体发射药 ＬＰ１８４６液滴组内部相互作用对着火、燃烧过程影响的研究。观测了液满间相互作用对它们所经历的四个特征过程的影响。定量测试液滴组平均着火延迟期、着火温度等特性参数与环境温度和液滴中心间距的关系。实验发现:在一定条件下，液滴组将出现聚并现象。最后．建立了一个工程简化模型，理论计算与实验数据吻合较好。这个工作对控制燃烧稳定性和抑制压力振荡有一定的指导意义。