有限推力能量、燃料最优轨道转移控制

应用间接法研究了时间固定下的能量、燃料以及能量-燃料最优有限推力轨道转移控制问题.燃料最优问题因存在奇异性而不易处理,引入能量性能指标可以消除奇异性,应用ε算法寻求解决了燃料最优轨道转移问题.应用极小值原理,设计了最优控制器,应用单值打靶法研究了相应轨迹优化问题转化的两点边值问题.数值结果表明在相同推力、相同轨道转移时间条件下,三种最优控制方式得到的最优轨迹几乎相同;同时也表明给定初始和目标轨道,轨道转移任务消耗的燃料是确定的,推力大小只影响轨道转移的圈数.     

基于iMPA的伪码快速捕获算法的性能分析和改进

针对迭代消息传递算法（iterative Message Passing Algorithm,iMPA）,通过证明m 序列是一种特殊的线性分组码,给出了该算法应用到伪码捕获的理论依据;分析了采用iMPA 进行伪码快速捕获的性能,包括捕获概率和算法复杂度;用马尔科夫链分析了基于iMPA的捕 获及判决流程,给出了平均捕获时间的解析表示。针对iMPA进行伪码捕获时收敛速度慢,检 测性能较低的缺点,通过增加因子图的约束,提出了冗余iMPA算法,即R\|iMPA（redundanc y iMPA）。仿真结果表明,R\|iMPA能有效的提高算法的收敛速度,检测性能平均提高约 2 dB 。     

基于矩阵奇异值理论的颤振分析新方法

根据颤振分析的基本概念,提出了一类基于矩阵奇异值理论的颤振分析新方法。该方法的特点是,以计算颤振矩阵最小奇异值或条件数的倒数来直接搜索颤振临界点。证明了这两个指标在颤振临界点处的等价性。根据指标在颤振临界点附近取极小值的特点,编制了相应的算法,在确定颤振临界点时无需计算颤振特征根,避免了“窜支”问题,从而减少了人工干预,提高了计算自动化程度。数值算例结果表明,采用该方法计算得到的颤振临界速度和颤振频率与p-k法计算结果的精度相当,且两个指标对应的计算结果一致,验证了其等价性。     

基于弹流润滑理论的深沟球轴承动态虚拟仿真

润滑油膜对轴承的胶合、擦伤和接触疲劳有重要影响.而以往对轴承的仿真均忽略了润滑油膜的存在,误差较大.首先在刚性套圈假设的前提下,基于Hertz接触理论,运用拟动力学法建立球轴承在径向、轴向载荷作用下的力学模型,以Newton-Raphson法为主要计算工具对模型进行求解,获得轴承在联合载荷作用下的接触载荷和变形,并求取了各个滚珠与内、外圈之间的接触刚度.基于弹性流体动力润滑(EHL)理论考虑润滑油膜对轴承动态特性的影响,求取滚动轴承油膜刚度.提出等效综合刚度的概念并求其值,在此基础上运用ADAMS软件对轴承进行准确的动力学仿真.      

基于图论的潜通路分块分析方法

潜通路分析是一种重要的电路可靠性分析方法.随着电路系统规模的扩大,整体进行潜通路分析不仅使分析时间增加,而且分析过程会占据很大的存储空间.对大型复杂电路网络进行潜通路分析时,运用基于Laplace矩阵的谱平分算法对电路系统分块处理,将其划分成规模较小的若干子网络模块.根据子网络模块内部元件的组合状态,用深度优先搜索判断通路,将每个子网络模块等效成一个多端的特殊器件.对各个子网络模块分别进行潜通路分析,对等效后简化的电路系统整体分析,以达到对整个电路系统潜通路分析的目的.潜通路分块分析的方法简化了电路网络分析模型,有利于潜通路分析自动化智能化水平的提高.      

基于状态转移图的启发式深空探测器任务规划方法

针对深空探测器复杂系统并行及约束耦合等特点,在时间线描述框架的基础上,引入了状态转移图结构。通过分析探测器任务规划中的耦合约束关系,设计了转移图代价计算方法,并提出了基于状态转移图的启发式任务规划算法。利用转移图设计启发式对无关节点进行剪枝,削减了搜索空间,加速了搜索过程。数值仿真结果表明,该算法能够有效减少不必要的规划步数,提高任务规划的效率。     

A robust semi-analytic method to solve the minimum ΔV two-impulse rendezvous problem

A novel semi-analytic approach is developed to determine the minimum $\mathrm{\Delta }V$ for a two-impulse rendezvous and validated both empirically and analytically. A previously published closed-form $\mathrm{\Delta }V$ estimate and the Lambert minimum energy transfer is used to establish upper and lower bounds of the minimum $\mathrm{\Delta }V$ transfer between two orbits. These bounds, in conjunction with the bisection method, operate on a nonlinear radical cost function to guarantee linear convergence. This approach has several real world applications including a low earth orbit (LEO) to highly elliptical orbit (HEO), and a HEO to retrograde geosynchronous orbit transfer. The minimum $\mathrm{\Delta }V$ estimates are better than those reported in the existing literature, while run times improved as much as two orders of magnitude over a fixed time Lambert solver. All singularity cases were addressed such that any orbital geometry, including Hohmann and radial elliptic transfers, converged to the global minimum $\mathrm{\Delta }V$. This approach will work for both coplanar and non-coplanar 3D geometries for any orbit type.     

Milling surface roughness for 7050 aluminum alloy cavity influenced by nozzle position of nanofluid minimum quantity lubrication

In nanofluid minimum quantity lubrication (NMQL) milling of aviation aluminum alloy, it is the bottleneck problem to adjust the position parameters (target distance, incidence angle, and elevation angle) of the nozzle to improve the surface roughness of milling, which has large and uncontrollable errors. In this paper, the influence law of milling cutter speed, helical angle, and cavity shape on the flow field around the milling cutter was studied, and the optimal nozzle profile parameters were obtained. Using 7050 aluminum alloy as the workpiece material, the milling experiment of the NMQL cavity was conducted by utilizing cottonseed oil-based Al₂O₃ nanofluid. Results show that the high velocity of the surrounding air flow field and the strong gas barrier could be attributed to high rotating velocities of the milling cutter. The incidence angle of the nozzle was consistent with the helical angle of the milling cutter, the target distance was appropriate at 25–30 mm, and the elevation angle was suitable at 60°–65°. The range and variance analyses of the signal-to-noise ratio of milling force and roughness were performed, and the chip morphology was observed and analyzed. The results show that the optimal combination of nozzle position parameters was the target distance of 30 mm, the incidence angle of 35°, and the elevation angle of 60°. Among these parameters, target distance had the largest impact on cutting performance with a contribution rate of more than 55%, followed by incidence angle and elevation contribution rate. Analysis by orthogonal experiment revealed that the nozzle position parameters were appropriate, and R_a (0.087 μm) was reduced by 30.4% from the maximum value (0.125 μm). Moreover, R_sm (0.05 mm) was minimum, which was 36% lower than that of the seventh group (R_sm = 0.078 mm).     

信赖域滤子算法在航空发动机在线优化中的应用

主要研究了航空发动机在线优化问题.以非线性发动机部件级模型为优化对象,将信赖域滤子算法应用于航空发动机在线优化,相比基本信赖域算法,该算法由于采用非单调的滤子算法和松弛重置,兼顾了算法在目标函数值下降与可行性保持两方面的品质,通过松弛重置避免子问题的不可行性,滤子算法则保证了算法收敛到全局最小解.最后,基于信赖域滤子算法,以涡扇发动机最小油耗寻优控制为仿真算例,验证了该算法的优越性.      

只含有一个非平凡块连通图的计数

利用组合理论和图的计数理论,讨论了只含有一个非平凡块的连通图的计数问题,给出了新的结论。