求解大型对称特征值问题的迭代Chebyshev-Lanczos方法

本文研究计算大型对称矩阵极端(几个最大或最小)特征值及相应特征向量的问题,讨论了Chebyshev迭代法对Lanczos方法的应用,提出了Chebyshev-Lanczos方法。计算实践表明迭代Chebyshev-Lanczos方法比迭代Lanczos方法优越。     

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。     

用Radon变换迭代法重建含有遮挡物的三维折射率场

本文通过计算机模拟研究，结合气体折射率场的光验知识．考查了将Ｒａｄｏｎ变换迭代法用于光学干涉层析计量含有遮挡物的三维折射率场的重建精度。作为一个应用实例，测量和计算了某一截面的气体温度分布，并与热电偶测量的值进行了比较。     

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 。     

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。     

Hybrid integration method for highly maneuvering radar target detection based on a Markov motion model

To detect highly maneuvering radar targets in low signal-to-noise ratio conditions, a hybrid long-time integration method is proposed, which combines Radon-Fourier Transform (RFT), Dynamic Programming (DP), and Binary Integration (BI), named RFT-DP-BI. A Markov model with unified range-velocity quantification is formulated to describe the maneuvering target’s motion. Based on this model, long-time hybrid integration is performed. Firstly, the whole integration time is divided into multiple time segments and coherent integration is performed in each segment via RFT. Secondly, non-coherent integration is performed in all segments via DP. Thirdly, 2/4 binary integration is performed to further improve the detection performance. Finally, the detection results are exported together with target range and velocity trajectories. The proposed method can perform the long-time integration of highly maneuvering targets with arbitrary forms of motion. Additionally, it has a low computational cost that is linear to the integration time. Both simulated and real radar data demonstrate that it offers good detection and estimation performances.     

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。     

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。