基于样条拟合和双向滤波的助推段弹道估计

三次B样条拟合在助推段弹道估计中应用广泛,但存在弹道两端点邻域估计误差过大的问题.通过对B样条基函数矩阵的特性进行分析,发现其原因为端点邻域估计时能利用的有效观测数据最少.因此,提出一种基于样条拟合和双向滤波相结合的弹道估计策略：首先将双星观测数据利用无迹变换转换为等效位置观测;然后利用三次B样条拟合弹道;最后基于一种自适应卡尔曼滤波器,采用双向滤波策略改善样条拟合的端点估计精度.仿真结果表明：组合方法使样条拟合的端点估计误差减少40％,同时使估计弹道更平滑.此结果满足实时性要求.     

三元二次样条函数及其计算（Ⅱ）——计算机表示

关于高维数据拟合提出两种计算方法，用各种实例在计算机上计算，给出了等值面图形绘制方法，直观地表示高维空间曲面。应用实例表明，有杉本方法进行四维数据插春效果令人满意，铁于微机实现，等值面绘制快速精确。     

Trajectory Estimation with Multi-range-rate System Based on Sparse Representation and Spline Model Optimization

The classic state methods for trajectory estimation in boost phase with multi-range-rate system include method of point-by-point manner and that of spline-model-based manner. Both are deficient in terms of model-approximation accuracy and systematic error determination thus resulting in the estimation errors well beyond the requirements, especially, concerning the maneuvering trajectory. This article proposes a new high-precision estimation approach based on the residual error analysis. The residual error comprises three components, i. e. systematic error, model truncation error and random error. The approach realizes self-adaptive estimation of systematic errors in measurements following the theory of sparse representation of signals to minimize the low-frequency components of residual errors. By taking median- and high-frequency components as indexes, the spline model-approximation is improved by optimizing node sequence of the spline function and the weight selection for data fusion through iteration. Simulation has validated the performances of the proposed method.     

自适应立方卷积图像插值算法

图像插值是图像处理的一项重要技术,可适用于多个领域,近年来多使用该技术进行图像缩放.针对传统图像缩放算法边缘处理效果较差、边缘检测插值算法复杂度高的问题,提出一种有效增强边缘轮廓的自适应立方卷积插值算法.该算法结合边缘梯度变化和立方卷积插值的特点,使得图像在平坦和纹理区域均能取得理想效果.实验结果表明,与基于边缘检测的插值算法相比,该算法具有较低的复杂度,平均运算时间降低了3.19 s;与立方卷积算法相比,图像峰值信噪比有较大的提高,峰值信噪比增加了0.89 dB.     

基于三次样条插值的时滞GDM(1,2)模型构建及应用

针对具有时滞特征的输入输出系统,建立了灰色时滞GDM(1,2)模型。并结合三次样条插值和粒子群优化算法,求解出模型的3个参数[a,b,τ]。相对于先利用灰关联分析确定出时滞参数τ再求解灰预测模型的方法,把时滞参数τ融入模型中求解,避免了参数求解过程中的误差传递;并且还消除了时滞参数τ必须为整数的限制,使模型更加贴合现实中滞后期数不一定为整数的实际情况。最后将模型应用于公路旅客周转量的预测问题,实例表明该模型在具有时滞特征的输入输出系统预测中具有较高的精度。     

无人机航路规划的研究

无人机的航路规划要求满足威胁回避和可飞性。采用分层的思想，基于Voronoi图产生初始航路，利用三次样条插值法平滑航路点产生无人机可飞航路，同时利用飞行过程中的信息来更新航路进行重规划。仿真结果表明了算法的有效性。     

基于拟合建模的振动削波数据预测恢复

针对振动测量数据超出测量系统原始设定范围造成的数据削波现象,介绍了回归分析和三次样条插值两种拟合方法.通过对测试数据进行建模预测的实例比较可知三次样条插值法的误差较小,应用此方法对飞机振动削波曲线进行恢复,可得到满意结果.     

Grindability and Surface Integrity of Cast Nickel-based Superalloy in Creep Feed Grinding with Brazed CBN Abrasive Wheels

The technique of creep feed grinding is most suitable for geometrical shaping, and therefore has been expected to improve effectively material removal rate and surface quality of components with complex profile. This article studies experimentally the effects of process parameters (i.e. wheel speed, workpiece speed and depth of cut) on the grindability and surface integrity of cast nickel-based superalloys, i.e. K424, during creep feed grinding with brazed cubic boron nitride (CBN) abrasive wheels. Some important factors, such as grinding force and temperature, specific grinding energy, size stability, surface topography, microhardness and microstructure alteration of the sub-surface, residual stresses, are investigated in detail. The results show that during creep feed grinding with brazed CBN wheels, low grinding temperature at about 100 °C is obtained though the specific grinding energy of nickel-based superalloys is high up to 200-300 J/mm³. A combination of wheel speed 22.5 m/s, workpiece speed 0.1 m/min, depth of cut 0.2 mm accomplishes the straight grooves with the expected dimensional accuracy. Moreover, the compressive residual stresses are formed in the burn-free and crack-free ground surface.     

Bifurcation in a 3-DOF Airfoil with Cubic Structural Nonlinearity

Limit cycle oscillations (LCOs) as well as nonlinear aeroelastic analysis of a 3-DOF aeroelastic airfoil motion with cubic restoring moments in the pitch degree of freedom are investigated.Aeroelastic equations of an airfoil with control surface in an incompressible potential flow are presented in the time domain.The harmonic balance (HB) method is utilized to calculate the LCO frequency and amplitude for the airfoil.Also the semi-analytical method has revealed the presence of stable and unstable limit cycles,along with stability reversal in the neighborhood of a Hopf bifurcation.The system response is determined by numerically integrating the governing equations using a standard Runge-Kutta algorithm and the obtained results are compared with the HB method.Also the results by the third order HB (HB3) method for control surface are consistent with the other numerical solution.Finally,by combining the numerical and the HB methods,types of bifurcation,be it supercritical,subcritical,or divergent flutter area are identified.     

有理双圆弧插值与双圆弧样条曲面

阐明了用有理参数形式表示圆弧的充要条件。在此基础上建立了由三点确定的双圆弧的有理参数方程。提出了有理双圆弧插值的算法,其中包括建立连续性方程,计算弦切角以及构造样条曲线。此外,构造了一类以双圆弧样条为横向截线的直纹曲面