A new grid deformation technology with high quality and robustness based on quaternion

Quality and robustness of grid deformation is of the most importance in the field of aircraft design, and grid in high quality is essential for improving the precision of numerical simulation. In order to maintain the orthogonality of deformed grid, the displacement of grid points is divided into rotational and translational parts in this paper, and inverse distance weighted interpolation is used to transfer the changing location from boundary grid to the spatial grid. Moreover, the deformation of rotational part is implemented in combination with the exponential space mapping that improves the certainty and stability of quaternion interpolation. Furthermore, the new grid deformation technique named ‘‘layering blend deformation' is built based on the basic quaternion technique, which combines the layering arithmetic with transfinite interpolation(TFI) technique. Then the proposed technique is applied in the movement of airfoil, parametric modeling, and the deformation of complex configuration, in which the robustness of grid quality is tested. The results show that the new method has the capacity to deal with the problems with large deformation, and the ‘‘layering blend deformation' improves the efficiency and quality of the basic quaternion deformation method significantly.     

正交调制实现窄带带通数字滤波器

为了提高滤波器性能并简化设计,采用正交调制等效结构实现了带通滤波,使一组中心频率不同,而其余指标都相同的窄带带通数字滤波器设计简化为一个窄带低通数字滤波器设计.对窄带低通数字滤波器设计,又采用了多抽样率多级实现技术,提高了运算效率,节省了存储空间.该设计已在TMS320C3X系列DSP芯片上调试通过,并运用于铁路电气化区段机车信号译码.     

飞机起飞性能计算中发动机推力确定方法的改进

为准确计算飞机起飞滑跑距离和起飞航迹,应用数值插值方法,对起飞性能计算中发动机推力的确定方法进行了改进,提出以发动机推力曲线图所给推力为基础,利用分片双二次插值函数法确定发动机推力。基于改进算法对某型飞机发动机推力和起飞航迹进行了实际计算,计算结果表明,改进后的方法比原有方法更准确。     

基于样条曲线的压气机特性内插算法研究

针对压气机特性曲线中未知转速数据难以精确计算问题,提出了基于样条曲线的内插算法。在分析压气机性能曲线特点基础上,通过制作压比/效率-流量、流量-转速2组辅助线,并使用样条曲线对其进行拟合,基于拟合结果计算测试转速下的特性数据,进而完成了对某型压气机压比/效率特性的内插计算。结果表明:基于样条曲线的内插算法比RBF神经网络算法准确性更高,并具有良好的工程应用价值。     

多维三次样条函数及其应用

本文将一维三次样条函数推广到多维问题，它保留了三对角矩阵方程便于求解的特性，并能得到满意的插值、一阶和二阶偏导数。关于边界条件问题，若能给出边界节点处的一阶偏导数边界条件，则精度最高，但在大多数应用问题中，往往给不出此条件。为此，本文提出一种改进方法，即用拉格朗日三点插值法由域边附近的节点数据计算出边界节点处的一阶偏导数。算例表明，此法可改善精度。     

基于误差相似性的移动机器人定位误差补偿

对由AGV承载的工业机器人组成的AGV式移动制孔机器人的定位误差补偿方法进行了研究。在面向飞机装配的AGV式移动制孔机器人系统中，利用激光跟踪仪构建坐标系，提出了AGV式移动制孔机器人机座坐标系的换站方法，能更好地适应飞机制造多品种、小批量的特点。基于对AGV式移动制孔机器人定位误差源的分析，利用定位误差相似性，提出针对AGV式移动制孔机器人的基于反距离加权定位误差的空间插值与补偿方法，克服了现有技术对于AGV式移动制孔机器人定位误差补偿的局限性。以AGV搭载的KUKA KR480型工业机器人制孔系统作为试验对象，通过试验选取最优网格步长，补偿结果表明，能将系统综合定位误差平均值由补偿前的1.045 mm降低到0.227 mm，最大绝对定位误差由补偿前的2.727 mm降低到0.478 mm，降低了82.47%，该方法能有效提高AGV式移动制孔机器人的绝对定位精度。     

非线性热传导方程混合问题插值逼近

以Legendre-Gauss-type积分节点为插值节点,构造插值基函数展开数值解,逼近有界杆上的非线性热传导方程Dirichlet边界条件的正确解。给出算法格式和相应的数值算例,表明所提算法格式的有效性和高精度。所给算法适合于非线性问题求解。     

LPV modeling and controller design for body freedom flutter suppression subject to actuator saturation

In recent years, the Active Flutter Suppression (AFS) employing Linear Parameter-Varying (LPV) framework has become a hot spot in the research field. Nevertheless, the flutter suppression technique is facing two severe challenges. On the one hand, due to the fatal risk of flight test near critical airspeed, it is hard to obtain the accurate mathematical model of the aeroelastic system from the testing data. On the other hand, saturation of the actuator may degrade the closed-loop performance, which was often neglected in the past work. To tackle these two problems, a new active controller design procedure is proposed to suppress flutter in this paper. Firstly, with the aid of LPV model order reduction method and State-space Model Interpolation of Local Estimates (SMILE) technique, a set of high-fidelity Linear Time-Invariant (LTI) models which are usually derived from flight tests at different subcritical airspeeds are reduced and interpolated to construct an LPV model of an aeroelastic system. And then, the unstable aeroelastic dynamics beyond critical airspeed are ‘predicted’ by extrapolating the resulting LPV model. Secondly, based on the control-oriented LPV model, an AFS controller in LPV framework which is composed of a nominal LPV controller and an LPV anti-windup compensator is designed to suppress the aeroelastic vibration and overcome the performance degradation caused by actuator saturation. Although the nominal LPV controller may have superior performance in linear simulation in which the saturation effect is ignored, the results of the numerical simulations show that the nominal LPV controller fails to suppress the Body Freedom Flutter (BFF) when encountering the actuator saturation. However, the LPV anti-windup compensator not only enhances the nominal controller’s performance but also helps the nominal controller to stabilize the unstable aeroelastic system when encountering serious actuator saturation.     

直线插补在回转类零件周向槽铣削中的应用

利用旋转第四轴、宏程序指令编程和G01直线插补编程,提出了实现某些回转类零件外周曲面上的规则槽、螺旋槽、异形槽以及各种凸轮的加工方法。用凸轮加工实例对提出的加工方法进行仿真验证,获得了较好的加工精度,证明了此方法正确可行。     

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...