基于响应面插值的非线性气动弹性计算

飞翼、大展弦比低雷诺数气动布局容易在小迎角的条件下出现气流分离,会带来明显的非线性气动力问题,同时气动弹性带来的影响亦不可忽略。针对此类布局提出一种建立基于径向基函数插值的非线性压力系数分布模型的方法,利用径向基函数插值建立面元上压力系数对迎角导数的响应面,将压力系数积分并通过无限板样条(IPS)方法进行气动结构多次迭代插值实现非线性气弹分析。结果验证了该方法对于静气动弹性分析的有效性,同时能准确地反映弹性带来气动效率的降低和变形对升力及阻力的影响。     

弹载聚束SAR平台的PFA算法

高分辨率SAR图像有助于导引头选择目标的关键部位进行精确打击,以扩大毁伤效果.尽管雷达平台在末制导阶段运动非常复杂,但由于天线始终指向目标,可以认为几何场景是聚束模式.而弹载平台的运动与机载平台不同,方位向和距离向都会作非匀速运动.非匀速运动不仅会引起越距离单元迁徙(MTRC),还会导致方位角非均匀变化,从而造成成像结果在距离向和方位向均出现散焦.本文通过对弹载聚束SAR几何场景和运动特点的分析,推导了变速条件下的PFA算法.首先研究了径向运动造成的越距离单元迁徙,并分析了运动补偿精度对成像质量的影响;然后采用SINC插值处理横向变速转动造成的方位角非均匀变化的问题.仿真实验获得良好聚焦的SAR图像,验证了本文方法的有效性.     

大型复材构件自动检测设备中超长梁的结构设计优化及其变形控制

CUS-6000大型超声自动扫描成像检测设备是中航工业北京航空制造工程研究所针对大型复合材料构件的高效自动化检测,研制的20通道大型超声自动化检测设备.在设备的研制过程中,采用有限元方法,广泛计算了多种结构方案和工况条件,提取扫描头部位的变形值,通过数值插值的方法得到各种变形参数随扫描头移动的关系曲线,计算结果对横梁反...     

An efficient large-scale mesh deformation method based on MPI/OpenMP hybrid parallel radial basis function interpolation

An efficient MPI/OpenMP hybrid parallel Radial Basis Function (RBF) strategy for both continuous and discontinuous large-scale mesh deformation is proposed to reduce the computational cost and memory consumption. Unlike the conventional parallel methods in which all processors use the same surface displacement and implement the same operation, the present method employs different surface points sets and influence radius for each volume point movement, accompanied with efficient geometry searching strategy. The deformed surface points, also called Control Points (CPs), are stored in each processor. The displacement of spatial points is interpolated by using only 20–50 nearest control points, and the local influence radius is set to 5–20 times the maximum displacement of control points. To shorten the searching time for the nearest control point clouds, an Alternating Digital Tree (ADT) algorithm for 3D complex geometry is designed based on an iterative bisection technique. Besides, an MPI/OpenMP hybrid parallel approach is developed to reduce the memory cost in each High-Performance Computing (HPC) node for large-scale applications. Three 3D cases, including the ONERA-M6 wing and a commercial transport airplane standard model with up to 2.5 billion hybrid elements, are used to test the present mesh deformation method. The robustness and high parallel efficiency are demonstrated by a wing deflection case with a maximum bending angle of 45° and more than 80% parallel efficiency with 1024 MPI processors. In addition, the availability for both continuous and discontinuous surface deformation is verified by interpolating the projecting displacement with opposite directions surface points to the spatial points.     

考虑机翼尾流影响的运输类飞机后体气动外形优化设计（英文）

在某典型运输机翼身组合体的构型上,进行了考虑机翼尾流影响的机身后体气动外形优化设计研究。基于翼身组合体构型建立了考虑尾流影响和部分工程约束的优化设计系统,并对后体构型在巡航状态下进行了优化设计。以比较适合描述后体变形的NURBS样条基函数为空间控制体属性引入FFD自由变形技术,通过在FFD控制框架对该运输机后体进行了空间属性构建。采用无限差值动网格技术提高空间网格的更新效率并保证网格质量。利用改进Kriging代理模型、量子粒子群优化算法提高优化效率和全局寻优能力。为减小巡航阻力,对某运输机后体的上翘角、截面形状等参数进行了优化设计,优化结果显示,设计后的机身气动特性明显提高。     

线化插值权残法求解强非线性振动问题

本文用线性化法，插值函数法和权残法相结合的方法求解了几类保守系统强非线性振动问题，其精度比已有的新的改进的L-P法还更好些。     

用张量分量混合插值的复合材料壳元公式

将张量分量混合插值壳体理论推广至复合材料壳元，并集成入大型有限元分析软件ＡＰＯＬＡＮＳ。该复合材料壳元具有线性、几何非线性及热弹性分析功能。可用于非对称、非均衡复合材料结构分析。与常规８节点复合材料壳元比较有精度好、效率高，且避免了单元“锁定”     

Empirical analysis of airport network and critical airports

Air transport network, or airport network, is a complex network involving numerous airports. Effective management of the air transport system requires an in-depth understanding of the roles of airports in the network. Whereas knowledge on air transport network properties has been improved greatly, methods to find critical airports in the network are still lacking. In this paper, we present methods to investigate network properties and to identify critical airports in the network. A novel network model is proposed with airports as nodes and the correlations between traffic flow of airports as edges. Spectral clustering algorithm is developed to classify airports. Spatial distribution characteristics and intraclass correlation of different categories of airports are carefully analyzed. The analyses based on the fluctuation trend of distance-correlation and power spectrum of time series are performed to examine the self-organized criticality of the network. The results indicate that there is one category of airports which dominates the self-organized critical state of the network. Six airports in this category are found to be the most important ones in the Chinese air transport network. The flights delay occurred in these six airports can propagate to the other airports, having huge impact on the operation characteristics of the entire network. The methods proposed here taking traffic dynamics into account are capable of identifying critical airports in the whole air transport network.     

一种考虑截面任意变形模式梁的有限元模型

提出了一种考虑截面完整变形的截面插值梁模型,并用于机翼结构的建模与分析。首先引入截面插值函数——拉格朗日函数描述截面形状,以位移向量为未知变量描述截面位移,在此基础上依据插值理论构造梁单元位移场。不同于传统梁单元通过假定的中性轴的挠度和转角来确定梁截面各点位移,该梁模型摒弃了中性轴假设与平截面假设,通过截面插值函数得到梁截面面内、面外变形;然后通过有限元理论推导了梁单元刚度矩阵与质量矩阵;最后利用截面插值梁单元对机翼各部件进行有限元建模,并展开典型工况下的静力学分析以及动力学分析,与Nastran实体单元计算结果进行了对比分析,验证了该梁模型的有效性,为机翼的结构设计和强度分析提供了一种新的简化建模方法。     

一般数据集的C^2有理保形插值

给出了一种适用于一般数据集的有理保形插值函数，其在每个子区间上是一个不超过三次的有理多项式，在整个区间上是C^2连续的。S（x）可保持数据集的凸凹性和拐点性质以及局部单调性。在满足保形性和C^2连续性的前提下，S（x）在插值节点处的一阶导数可在一定范围内自由选取，因而，可利用其调整插值曲线的形状，以获得最佳设计效果；也可以利用其满足其他要求，如可选取S(x）在节点处的一阶导数值，使其在任何情况下都可保证与被插函数在节点处的一阶导数有较高的逼近阶，从而使S(x）与被插函数有较高的逼近阶。本文中构造有理C^2保形插值的算法简单，计算量极小，优于现有文献中的保形插值算法。