SOM人工神经网络在客机零部件故障诊断中的应用研究

现代客机在使用过程中不可避免地会发生各种故障，故障诊断对保证飞行安全十分重要，本文将基于概率的数学方法与专家经验相结合对其进行故障诊断。Kohonen的自组织特征映射（Self-organizing map,SOM）人工神经网络在输出上可反映出输入学习样本的概率密度分布，且无需知道样本的概率分布的先验知识，兼具函数逼近功能。本文将SOM引入这一领域，用于计算飞机零部件发生故障的概率，以及实现数学方法计算结果与专家经验的结合，实际应用说明了该方法的可行性。     

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。     

三块各向正交异性矩形板构成的卫星帆板在各种载荷下的横向弯曲

本文以三块各向正交异性矩形板组成的卫星帆板为研究对象,首次利用半解析方法研究了其横向弯曲的问题。就板间连接处复杂的边界条件,提出了与之对应的挠度函数形式。在此基础上采用相同形式的挠度函数求出了帆板在各种横向外载荷作用下的挠度,为解决多板连接结构的弯曲问题提供了一种有别于以往数值方法的新思路。     

平面超椭圆曲线的二次NURBS逼近

基于超椭圆曲线的基本性质、方程及其图形表示,研究了超椭圆曲线指数s和欲逼近的二次NURBS曲线权重系数w之间的对应关系,给出了超椭圆曲线的一种高精确的二次NURBS逼近方法,避免了因超椭圆曲线取点误差而可能产生的对生成曲面的影响,也大大缩减了计算量。文中给出了超椭圆曲线的二次NURBS逼近效果图,探讨了将此方法用于飞机机身曲面外形设计的相关步骤。     

考虑粘性时激波反射及壁面热流计算

本文采用显式 TVD 格式,求解薄层 Navier-Stokes 方程,计算了激波与楔面相互干扰的流场情况,得出了马赫反射的各种等强度线及固壁面上详细的物理量分布,根据计算得出的流场,计算了壁面摩擦阻力及热流分布。     

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.     

A novel surrogate modeling strategy of the mechanical properties of 3D braided composites

In this paper, a surrogate-based modeling methodology is developed and presented to predict the elastic properties of three dimensional (3D) four-directional braided composites. Using this approach, the prediction process becomes feasible with only a limited number of training points. The surrogate models constructed using Finite Element (FE) method and Diffuse Approximation, reduce the computational time and cost for preparing experimental samples. In the FE model, multiscale method is applied to couple the computations of elastic properties at microscale and mesoscale. Subsequently, a parametric study is performed to analyze the effects of the three design parameters on the elastic properties. Satisfactory results are obtained via the surrogate-based modeling predictions, which are compared with the experimental measurements. Moreover, the predictions obtained from surrogate models concur well with the FE predictions. This study orients a new direction for predicting the mechanical properties based on surrogate models which can effectively reduce the sample preparation cost and computational efforts.     

宏指令在变螺距螺旋轨迹编程中的应用

以一个现实的零件,表述了宏指令在变螺距螺旋加工中的运用,利用函数的合成,循环语句的运用,细致而详细地描述了程序编制的整个过程。对于复杂空间曲线,若能建立函数的关系,通过宏指令的运用,也能手动编制出简洁的复杂轨迹,且应用面广,程序段直观而清晰,更具可读性。     

酸性磺酞类染料共振Rayleigh散射光谱法测定奈替米星

用共振Rayleigh散射（RRS）光谱研究了酸性磺酞类染料溴甲酚绿和溴酚蓝分别与奈替米星的相互作用.溴甲酚绿和溴酚蓝在酸性介质中分别与奈替米星相互作用,导致RRS光谱显著增强,最大的RRS峰分别位于606nm和572nm处,散射强度与奈替米星的质量浓度在一定的范围内成正比.此方法具有很高的灵敏度,对于奈替米星的检测限（3σ）分别为30ng/mL和10ng/mL,据此发展了一种测定奈替米星的新方法.     

Tidal associated temperature disturbances observed at the middle atmosphere (30–65 km) by a Rayleigh lidar at 23°S

A lidar has been operated in São José dos Campos, Brazil (23.2°S, 45.8°W) since 1972, mainly dedicated to the study of mesospheric sodium at the 589 nm resonant line. The molecular Rayleigh scattering can also be used provided we limit the height to ∼75 km where the sodium scattering begins. Nevertheless, the weak signal obtained only permits the determination of density and temperature profiles by accumulating a large number of shots giving only nocturnal average profiles. Temporal variations in density and temperature on the scale of hours can however, be obtained by performing a superposed epoch analysis for a given time interval and covering a period of several days. In this way we obtained hourly mean profiles grouped by months, seasons and overall, with data acquired from 1993 to 2004. The difference between the hourly temperatures and the nocturnal means shows for some months, with enough data coverage, downward propagating structures that apparently have tidal origin. The seasonal averages show a recurrent feature with high temperatures before and low temperatures after midnight above 50 km. Some similarity is found with the GSWM model, but the observed temperature amplitudes are twice of that for the model.