第二类对称三对角矩阵逆特征值问题及其应用

本文研究如下问题: 问题Ⅰ 给定n×2实矩阵X和实对角矩阵A=diag(λ_1,λ_2),求第二类n×n实对称三对角矩阵T使得TX=XA。 问题Ⅱ 给定第二类n×n实对称三对角矩阵(?),求第二类对称三对角矩阵(?)使得,其中S_T是问题Ⅰ的解集合。 本文给出了问题Ⅱ有解的充分必要条件,研究了问题Ⅱ解的存在性和唯一性,给出了问题Ⅰ和问题Ⅱ解的表达式,描述了求解问题Ⅰ和问题Ⅱ的数值方法,讨论了数值方法的应用,并给出了一些数值例子。     

GRACE gravity field modeling with an investigation on correlation between nuisance parameters and gravity field coefficients

The GRACE (Gravity Recovery And Climate Experiment) monthly gravity models have been independently produced and published by several research institutions, such as Center for Space Research (CSR), GeoForschungsZentrum (GFZ), Jet Propulsion Laboratory (JPL), Centre National d’Etudes Spatiales (CNES) and Delft Institute of Earth Observation and Space Systems (DEOS). According to their processing standards, above institutions use the traditional variational approach except that the DEOS exploits the acceleration approach. The background force models employed are rather similar. The produced gravity field models generally agree with one another in the spatial pattern. However, there are some discrepancies in the gravity signal amplitude between solutions produced by different institutions. In particular, 10%–30% signal amplitude differences in some river basins can be observed. In this paper, we implemented a variant of the traditional variational approach and computed two sets of monthly gravity field solutions using the data from January 2005 to December 2006. The input data are K-band range-rates (KBRR) and kinematic orbits of GRACE satellites. The main difference in the production of our two types of models is how to deal with nuisance parameters. This type of parameters is necessary to absorb low-frequency errors in the data, which are mainly the aliasing and instrument errors. One way is to remove the nuisance parameters before estimating the geopotential coefficients, called NPARB approach in the paper. The other way is to estimate the nuisance parameters and geopotential coefficients simultaneously, called NPESS approach. These two types of solutions mainly differ in geopotential coefficients from degree 2 to 5. This can be explained by the fact that the nuisance parameters and the gravity field coefficients are highly correlated, particularly at low degrees. We compare these solutions with the official and published ones by means of spectral analysis. It is found that our solutions are, in general, consistent with others in the spatial pattern. The water storage variations of the Amazon, Chari and Ganges river basins have also been computed. The variations computed with the NPARB approach are closer to those produced by JPL and DEOS solutions, while the variations produced with the NPESS approach are in good agreement with those produced by the CSR and GFZ solutions. A simulation study is implemented with considering realistic noise and low-frequency error. The two approaches are used to recover the true model. The NPESS solution appears closer to the true one. Therefore we are inclined to estimate the nuisance parameters simultaneously with the geopential coefficients.     

一种新型的现代战机复合导引律研究

针对现代战机近距空战导引过程,建立了战机与目标的相对运动模型。应用滑模变结构控制理论,以拦截时间、视线角速率和指令加速度变化率为性能指标,推导出一种增广比例加滑模变结构的新型复合导引律,给出了其设计机理,并在理论上对变参数进行了优化设计。仿真结果表明,该导引律结构简单,能有效克服目标机动,在具有较强鲁棒性的同时,其导引性能较传统的PPN有较大提高,具有工程可实现性和有效性。     

环控系统减少引气量和降低燃油代偿损失研究

随着能源问题越来越突出,降低环控系统燃油代偿损失显得越来越重要。针对这个问题,综述了当前应用研究中降低燃油代偿的不同方法,并重点对闭式循环制冷系统和考虑载荷因子的引气系统在减少引气量和降低燃油代偿损失方面进行了探讨。     

树脂基导电纳米复合材料电磁屏蔽性能的研究进展

随着5G时代的来临,电磁污染问题日益严重。电磁屏蔽是解决电磁污染的有效方法,已成为人们关注的热点。导电纳米粒子具有优异的导电性及其独特物理特性,其树脂基复合材料可作为轻质高电磁屏蔽效能的电磁屏蔽材料。本文主要介绍了含有导电一维纳米粒子（碳纳米管、银纳米线）和二维纳米粒子（石墨烯、MXenes）的树脂基复合材料在电磁屏蔽性能方面的研究进展,进一步对其发展趋势进行了展望。     

发射脉冲载波泄漏抑制研究与实现

对发射端采用双平衡正交调制器产生线性调频造成载波泄漏的原因进行了详细分析,提出了采用直接数字合成(DDS)技术产生发射端线性调频信号的实现方法,从而很好地解决了载波泄漏的问题,并给出了试验结果。     

飞秒激光系统图像调焦装置以及方法

飞秒激光直写技术在复杂三维微结构加工领域具有显著优势,而调焦是否精准直接影响了所加工结构的完整度.提出了在光路中临时置入调焦光源和物的图像调焦技术,通过调节物的位置使其成像面与激光聚焦面一致,从而通过清晰可分辨的成像状态间接反映激光聚焦状态.利用Zemax软件模拟分析了原飞秒激光光路与加入调焦光源和物的调焦光路,二者可实现相同加工物镜后工作距离与良好成像质量,证明了该方法的可行性.通过分析得到该过程的成像误差主要由成像镜头焦深(3.9 μm)引起,我们获得的理想调焦精度可达到1/2焦深以内.设计了单层高度为5 μm的二层圆柱结构,通过多次实验验证了所加工元件高度误差在1.5 μm范围以内,与理论分析一致,满足飞秒激光系统的调焦要求.     

发汗冷却喷管在火箭发动机上的应用

较系统地介绍了发汗冷却的机理和发汗冷却研究的发展历程，说明了发汗喷管不同研究阶段的典型结构，并重点阐述了可望很快应用于工程上的发汗喷管结构，同时列出了发汗喷管计算中关键技术－热量交换的有关数学模型和各参数的取值。指出了近期需要开展的工作。     

基于全解耦奇偶方程的动态系统执行器故障检测与识别

给出了基于全解耦奇偶方程的动态系统执行器故障的检测与识别方法。讨论了全解耦奇偶向量的产生方法,给出了全解耦奇偶向量的存在条件,并结合卡尔曼滤波方法得到了故障模型参数的估计方法。最后给出了仿真实例。结果表明,全解耦奇偶方程方法能估计出动态系统执行器故障模型。     

含纳米金属粉的推进剂点火实验及燃烧性能研究

利用CO2激光点火系统对含有纳米铝粉和纳米镍粉的AP／HTPB推进剂进行激光点火实验,测量了推进剂在不同激光功率和压强下的点火延迟时间,对推进剂的燃速、常压点火温度和爆热也进行了测量。同时,利用氧化还原滴定法测定燃烧残渣中活性铝含量。结果表明,纳米铝粉(n—Al)的点火阀值比普通铝粉(g-A1)的点火阀值小几个数量级,加入纳米铝粉可有效地缩短推进剂点火延迟时间。而在纳米镍粉为催化剂的协同作用下,推进剂燃速明显提高,点火延迟时间也大大减少,Al在推进剂燃烧过程中的燃烧效率得以提高,同时燃烧残渣中活性铝含量也明显降低。