航空发动机数学模型中方程解法与局限性分析

基于部件法建立的发动机数学模型中含有大量非线性方程求解过程,目前所采用的插值法在理论上存在一定的局限,使得发动机性能仿真时常引起模型不收敛.本文首先以发动机部件非定常流计算过程为例,归结给出模型中非线性方程的数学形式及其特点,然后采用实例对解法的局限性进行分析,并得出结论:建议使用插值法求解时应注意两点:迭代初值选取直接影响算法的收敛性;迭代过程采用最近三个近似解来拟合,不一定能真实反映原方程轨迹,会导致迭代发散.     

带有误差的广义压缩映射迭代序列的收敛阶

Liu Qihou提出了度量空间中带有误差的迭代序列的定义，并研究了迭代序列的收敛性。严格分析了完备度量空间中带有误差的两类广义压缩映射迭代序列的收敛速度，得到了迭代序列收敛阶的最佳估计，这些结果在近似计算中可用于估计不动点的大致范围以及根据精度要求确定迭代次数。     

填充函数法在发动机加力最小油耗模式控制中的应用

主要研究了航空发动机性能寻优控制(PSC)算法问题。提出一种用于解决非线性约束优化问题的基于填充函数方法(FFM)的实时优化控制策略。通过构造填充函数,该算法可以在优化计算过程中能够不断跳出局部最优点,使得算法本身具备了全局寻优能力。详细介绍了其算法主要内容与实现途径,基于上述的填充函数优化算法,以某型涡扇发动机加力最小油耗优化控制模式为仿真算例,验证了该算法在解决航空发动机性能寻优控制问题时,相比传统的序列线性规划方法在全局寻优方面具有更好的效果。     

叶片外换热计算程序STAN5收敛性改进

涡轮叶片外换热计算程序STAN5,采用Patankar-Spalding方法求解可压缩边界层微分方程,获得流动及温度边界层内的参数分布,进而得到叶片表面的外换热系数分布。本文分析了STAN5程序的求解方法,研究了程序在外流场存在较强逆压梯度时出现计算不收敛及错误收敛等现象的机理,并对程序进行了两点改进:修正了逆压梯度下边界层内部速度分布,建立了边界层内部沿流向的网格分布与主流压力梯度间的联系。改进后的程序有效地避免了计算发散等问题。     

基于混合观测器的导弹有限时间收敛滑模姿态控制

为了提高非匹配非线性干扰影响下导弹姿态控制系统的性能,提出了一种基于干扰-状态混合观测器的新型有限时间收敛滑模控制器。首先,基于观测器输出构建非奇异终端滑模面,保证非匹配干扰影响下的系统误差有限时间快速收敛;其次,采用时变观测增益设计,避免了传统固定观测增益可能带来的估计尖峰问题;再次,基于超扭曲算法,在避免传统滑模控制抖振问题的同时确保滑模面有限时间可达。仿真结果表明,所设计的控制器具备强鲁棒、快速收敛以及无尖峰的控制性能。     

混合线性/非线性状态空间模型的边缘Rao-Blackwellized粒子滤波法(英文)

本文提出了边缘 Rao-Blackwellized 粒子滤波器(marginal Rao-Blackwellized particle filter, MRBPF)算法,算法融合了 Rao-Blackwellized 粒子滤波器(Rao-Blackwellized particle filter , RBPF)算法和边缘粒子滤波器(marginal particle filter, MPF)算法。算法中状态被分为线形和非线性两部分,分别用 MPF 和卡尔曼滤波器(Kalman Filter)进行估计。地形辅助导航(terrain aided navigation, TAN)的仿真结果表明,与 RBPF 相比,提出算法的非线性状态估计的误差均方根(root mean square error, RMSE)和误差方差分别降低了约 29%和 96%,独立粒子数提高了约80%,获得了更好的收敛结果。分析表明,现有RBPF是MRBPF的一个特例。     

Convergence Analysis of the Numerical Solution for Cathode Design of Aero-engine Blades in Electrochemical Machining

As a main difficult problem encountered in electrochemical machining （ECM）, the cathode design is tackled, at present, with various numerical analysis methods such as finite difference, finite element and boundary element methods. Among them, the finite element method presents more flexibility to deal with the irregularly shaped workpieces. However, it is very difficult to ensure the convergence of finite element numerical approach. This paper proposes an accurate model and a finite element numerical approach of cathode design based on the potential distribution in inter-electrode gap. In order to ensure the convergence of finite element numerical approach and increase the accuracy in cathode design, the cathode shape should be iterated to eliminate the design errors in computational process. Several experiments are conducted to verify the machining accuracy of the designed cathode. The experimental results have proven perfect convergence and good computing accuracy of the proposed finite element numerical approach by the high surface quality and dimensional accuracy of the machined blades.     

多重网格法在混合网格中的应用

设计了一种高效的混合网格聚合方法,在此基础上应用多重网格技术来加速Navier-Stokes方程的收敛过程.方程求解采用Jamson的中心格式有限体积法.对NACA0012翼型和ONERA M6机翼的粘性绕流进行了数值模拟,算例结果与试验结果符合良好,加速收敛效果显著.     

Light conditions affect the roll-induced vestibuloocular reflex in Xenopus laevis tadpoles

In Xenopus laevis tadpoles, effects of asymmetrical light conditions on the roll-induced vestibuloocular reflex (rVOR) were tested for the developmental period between stage 47 and 49. For comparison, the rVOR was tested in dim- and high-symmetrical light environments. Test parameters were the rVOR gain and rVOR amplitude. Under all light conditions, the rVOR increased from tadpole stage 47 to 49. For all stages, the asymmetrical light field induced the strongest response, the dim light field the weakest one. The response for the left and right eye was identical, even if the tadpoles were tested under asymmetrical light conditions. The experiments can be considered as hints (1) for an age-dependent light sensitivity of vestibular neurons, and (2) for the existence of control systems for coordinated eye movements that has its origin in the proprioceptors of the extraocular eye muscles.     

扰动Chebyshev结点上Lagrange插值的一致收敛性

由经典插值理论Chebyshev结点上的Lagrange插值过程对犤-1,1犦上满足狄尼-李普希兹条件的任意函数一致收敛。而当Chebyshev结点产生某些扰动时,只要扰动量不超过O1nlnn ,则可证明基于扰动后的Chebyshev结点上的Lagrange插值过程仍然保持一致收敛性。