玻璃纤维增强泰氟隆烧蚀理论

本文给出玻璃纤维增强泰氟隆材料的理模型和计算方法。得到了有液层机械流失的传质参数的关联公式，利用此公式可对此材料的驻点与非驻点烧蚀性能进行预测。     

基于解耦控制的飞机飞行的控制方法仿真研究

深入地研究了基于状态空间法的解耦控制理论，并用此理论对飞机的纵向和横航向的某一飞行状态进行了仿真，得出了既可解耦也可以改善系统响应性能的控制方法。仿真中应用局部解耦的方法构造满足解耦控制条件的多变量系统，局部解耦控制有利于解耦控制方法在飞行控制系统中的应用。     

悬丝支撑加速度计标度因数温度系数补偿方法研究

温度是影响加速度计标度因数的最主要因素,标度因数的温度系数是评价标度因数随温度变化的程度.本文根据悬丝支撑的摆式加速度计工作原理,分析了温度变化对标度因数的影响,同时给出了标度因数温度系数的补偿原理和方法,并通过试验进行了验证.     

浑沌动力系统的信息流理论

本文用各态历经理论对浑沌动力系统作了详细研究;揭示了浑沌系统中信息流的机理,提出了描述浑沌物理过程的一个新测度——平均信息量。     

On the free-vibration of rotating composite beams using a higher-order shear formulation

The free vibration behavior of rotating blades modeled as laminated composite, hollow (single celled) boxed beams is investigated. To this end, geometrically nonlinear structural model incorporating a number of non- classical effects such as anisotropy, heterogeneity, transverse shear flexibility, and warping inhibition is developed. Centrifugal and Coriolis force field effects are also considered in the formulation. However, Coriolis effect is discarded during the solution process. It is assumed that in-plane cross-sectional distortion is negligible. In contrast to the existing structural blade models, the traction free boundary conditions on the external surfaces of the beam are identically satisfied. The linearized dynamical equations and numerical results addressing the problem of the free vibration are supplied. Results obtained for the present higher-order shearable model are compared with those of the existing first-order shearable and the non-shearable structural models. Tailoring studies using the present model reveal an enhancement of eigenfrequency characteristics.     

稀薄流到连续流的气体运动论统一算法研究

通过引入碰撞松弛参数和当地平衡态分布函数对BGK模型方程进行修正，确定含流态控制参数的各流域均适用的气体分子速度分布函数简化控制方程。发展和应用离散速度坐标法于气体分子速度空间，利用一套在物理空间和时间上连续而在速度空间离散的分布函数来代替原分布函数对速度空间的连续依赖性。基于非定常时间分裂数值计算方法和无波动、无自由参数的NND耗散格式，建立直接求解气体分子速度分布函数的气体运动论有限差分数值方法。发展可用于速度空间宏观取矩的离散速度数值积分方法，获取物理空间各点的流动参数，由此发展一套能有效模拟各流域三维绕流问题的气体运动论统一算法。研究气体运动论数值算法所适合的并行方案，基于统一算法的HPF并行实现，建立一套能有效模拟不同流域复杂外形体绕流的HPF并行算法软件。通过对不同Knudsen数的一维、二维、三维气体绕流问题进行数值计算表明，计算结果与有关实验数据及其它途径得到的研究结果吻合较好，证实了本文发展的统一算法在求解稀薄流到连续流不同流域复杂绕流问题方面的可行性。     

自由漂浮空间机器人的运动学分析及仿真

自由漂浮空间机器人与地面机器人最大的区别是其末端执行器的运动不仅仅和各个关节的运动有关,而且与各个连杆、基座的质量分布及其运动轨迹紧密相关.因此,自由漂浮空间机器人的运动学与其动力学是密不可分的.运用螺旋理论、动量守恒定律对这样的机器人系统进行分析,得到了包含系统质量在内的运动雅可比矩阵,并给出了系统运动的图形仿真结果.     

影响图的基础理论和发展

概述了影响图起源，理论基础和应用进展，ＩＤ是复杂的不确定性决策问题的一种新颖有效的图形表征语言，数学概念完整，关于概率估计，备选方案，决策者偏好和信息状态的说明完备，具有决策树不可比拟的优点，作为不确定性问题的辅助构模手段，表征和推理的工具以及概率计算的有效结构，广泛适用于许多领域的决策分析和不确定性推理问题。     

Applying the mathematical theory of stochastic processes to lunar and planetary science: the ancient oceans on Mars case

The Mathematical Statistics Theory (MST) and the Mathematical Theory of Stochastic Processes (MTSP) are different branches of the more general Mathematical Probability Theory (MPT) that represents different aspects of some physical processes we can analyze using mathematics. Each model of a stochastic process according to the MTSP can provide one or more interpretations in the MST domain. The importance of MTSP is that each such interpretation can provide large amount of new information. While large body of work on the impact crater statistics according to MST has already been done, it is yet to be investigated as to how we can model a stochastic process according to MTSP; for example, bombardment of the planetary surface or something else in a Lunar and Planetary Science (LPS) domain. In order to show possible achievements, the possible existence of a Martian ocean was chosen as a query that could be addressed through computations using presumptions according to MTSP, including probability of existence as well as lateral and vertical extent and duration of time. While the presumptions for this particular case will also be addressed in certain degree, this will be done primarily to show complexities of some physical process that can be modeled, rather than to prove correctness of the concrete values computed here. While this in itself can be the objective in some future work toward the formal proof of the probability, extent, and timing of oceans on Mars, the basic idea here is to show the basic principles of MTSP, and its potential for addressing LPS-related phenomena. Here, I attempt to show how this approach can: (1) provide large amounts of previously unknown information about physical processes on the surface of the planet, (2) lead to a better understanding of the processes that have shaped the surface of the planet, and/or (3) help constrain the amount of resurfacing. Coupled with other current methodologies, MTSP can result in a better understanding of the history of Mars, as well as other lunar and planetary bodies.     

重心坐标应用于几何定理的机械化证明

用机械化方法证明几何定理,适当选取坐标系是一个关系到问题解决得难易程度的重要步骤。本文是在重心坐标下,用机械化方法证明非平凡几何定理。