关于Davidson—Lanczos方法的收敛率

本文对文[1]提出的求解大型对称矩阵A的极端(几个最大或最小)特征值及相应特征向量的Davidson—Lanczos方法,用Rayleigh—Ritz逼近理论,研究了该方法的收敛率。证明了由该方法产生的规范正交向量{v_i}_i~m=1是Krylov子空间K_m≡Span(v_1,Av_1,…,A~(m-1)v_1)的一组基。设A的k个最大特征值为又,λ_1>λ_2>…>λ_k,相应的近似特征值为λ_i~(m)(i=1,…,k),得到 这里γ_i(γ_i>1),W_i和W_i~(m)是常数。     

飞机液压能源管路系统的振动特性分析

论述了液压能源管路网络系统的建模，着重建立了液体输管路及有关元件的传递矩阵，并给出了如何用特性阻抗法对系统进行求解，最后对飞机液压能源管路系统的动态特性进行了仿真，并指出了一些重要的影响因素。     

一种利用ILSP的同步DS-CDMA信号快速盲解扩算法

针对同步DS-CDMA信号的盲解扩问题，本文提出了一种基于迭代最小二乘投影算法(ILSP)的快速盲解扩算法。本算法首先通过对截获信号的协方差矩阵进行特征分解，估计出由各用户扩频序列张成的信号子空间，然后结合扩频码序列的有限符号集特性，利用ILSP算法消除由特征分解产生的酉矩阵模糊问题，得到扩频序列的精确估计，最后利用估计得到的扩频序列对截获信号解扩得到信息码序列，完成DS-CDMA信号的盲解扩。仿真结果表明本算法在低信噪比条件下具有良好的盲解扩性能，且相较传统算法本文提出算法大大降低了计算复杂度 。     

Families of halo orbits in the elliptic restricted three-body problem for a solar sail with reflectivity control devices

Solar sail halo orbits designed in the Sun-Earth circular restricted three-body problem (CR3BP) provide inefficient reference orbits for station-keeping since the disturbance due to the eccentricity of the Earth’s orbit has to be compensated for. This paper presents a strategy to compute families of halo orbits around the collinear artificial equilibrium points in the Sun-Earth elliptic restricted three-body problem (ER3BP) for a solar sail with reflectivity control devices (RCDs). In this non-autonomous model, periodic halo orbits only exist when their periods are equal to integer multiples of one year. Here multi-revolution halo orbits with periods equal to integer multiples of one year are constructed in the CR3BP and then used as seeds to numerically continue the halo orbits in the ER3BP. The linear stability of the orbits is analyzed which shows that the in-plane motion is unstable while the out-of-plane motion is neutrally stable and a bifurcation is identified. Finally, station-keeping is performed which shows that a reference orbit designed in the ER3BP is significantly more efficient than that designed in the CR3BP, while the addition of RCDs improve station-keeping performance and robustness to uncertainty in the sail lightness number.     

判断矩阵的最少元素构造法

在层次分析法中构造判断矩阵并使判断矩阵具有一致性是非常关键的。为减少正互反矩阵两两比较的复杂性,降低计算难度,从判断矩阵的构造入手,首先确定相对独立的主对角线上(下)侧元素,而非独立元素就按照一致性原理计算。利用最少的元素构造判断矩阵,使构造矩阵过程简洁,效率提高,满足一致性的要求。     

Influence of TiB2 particles on machinability and machining parameter optimization of TiB2/Al MMCs

In situ formed TiB₂ particle reinforced aluminum matrix composites (TiB₂/Al MMCs) have some extraordinary properties which make them be a promising material for high performance aero-engine blade. Due to the influence of TiB₂ particles, the machinability is still a problem which restricts the application of TiB₂/Al MMCs. In order to meet the industrial requirements, the influence of TiB₂ particles on the machinability of TiB₂/Al MMCs was investigated experimentally. Moreover, the optimal machining conditions for this kind of MMCs were investigated in this study. The major conclusions are: (1) the machining force of TiB₂/Al MMCs is bigger than that of non-reinforced alloy and mainly controlled by feed rate; (2) the residual stress of TiB₂/Al MMCs is compressive while that of non-reinforced alloy is nearly neutral; (3) the surface roughness of TiB₂/Al MMCs is smaller than that of non-reinforced alloy under the same cutting speed, but reverse result was observed when the feed rate increased; (4) a multi-objective optimization model for surface roughness and material removal rate (MRR) was established, and a set of optimal parameter combinations of the machining was obtained. The results show a great difference from SiC particle reinforced MMCs and provide a useful guide for a better control of machining process of this material.     

基于T-S模糊模型的模糊大系统的混合滤波

针对非线性大系统内部过程参数的检测估计,采用连续模糊大系统模型,利用lyapunov定理和分布式处理方法,给出了模糊大系统的H2/H∞混合滤波器设计方法。该方法在保证滤波误差系统全局稳定的同时,具备了H2/H∞性能。通过求解线性矩阵不等式,可以得到滤波器参数。最后,用一个数值例子验证了该方法的正确性和有效性。     

基于μ分析的高超声速飞行器再入轨迹评估

为解决高超声速飞行器再入过程中存在的不确定性问题,将μ分析理论应用到标称再入轨迹的评估中.采用线性稳定储备准则,在密度、升力系数和阻力系数存在不确定性时,对标称轨迹在制导律下的制导稳定性进行了分析;根据所获得的最坏参数组合,采用系统的开环尼克尔斯曲线验证了μ分析的结果;分析了系统所能容纳的最大不确定性参数,并研究了系统对不同不确定性参数的敏感性.结果表明:在密度、升力系数和阻力系数不确定性中,阻力系数对该标称轨迹的鲁棒稳定性影响最为明显.     

纤维增韧陶瓷基复合材料的比例极限应力与残余热应力关系

从细观力学角度分析并建立了纤维增韧陶瓷基复合材料从制备温度冷却到室温过程中产生的残余热应力与复合材料的比例极限应力的关系模型。该模型表明,减少复合材料的残余热应力或提高复合材料的纤维与基体的模量比,均可提高复合材料的比例极限应力。通过单调拉伸实验测试了先驱体浸渍裂解法(PIP)制备的2D SiC/SiC复合材料的比例极限应力,并采用文中建立的比例极限应力与残余热应力关系模型,计算出复合材料SiC基体的残余热应力为-19.5 MPa。分析表明,该结果是合理的。此外,引用了公开文献报道的5种复合材料体系数据,用于验证文中所建立的比例极限应力与残余热应力关系模型的适应性和可靠性,计算结果与实验结果最大误差为18.6%,表明该模型具有较好的适应性和可靠性,可为纤维增韧陶瓷基复合材料的研究提供新思路。