Parameterized design of abort trajectories with a lunar flyby for a crewed mission

This article proposes an analytical preliminary design method for abort trajectory with a lunar flyby and the trajectory ergodic representation based on parameterization, as well as their application in studying the abort trajectories’ characteristics. First, by introducing two parameters, the perilune altitude and the perilune transfer time, the preliminary solution is developed parametrically using pseudostate theory to connect two special Lambert processes. The fast convergence of the improved differential correction under the high-fidelity gravity field verifies the accuracy of the proposed preliminary design method. Next, the two parameters are regarded as a set of variables to define an abort trajectory. Based on this, an ergodic representation of the abort trajectory with a certain abort time is yielded using the proposed design method, which offers a global view of the feasible abort trajectories. In addition, the influences of some factors on the performance of these abort trajectories are investigated based on the proposed design method and ergodic representation. The simulation results show that the abort time and the transfer time of the nominal trajectory significantly affect the ergodic representation and characteristics of the abort trajectory.     

一种可靠性增长试验抽样数Max-Min准则的反馈修正方法

对成败型航空发动机部件可靠性增长试验抽样数的确定问题进行了研究。推导出了初始故障数服从典型离散分布时的最小化最大准则(Max-Min准则),提出了一种逐次抽样样本估计值反馈修正方法。最后给出了一个应用实例,验证了该方法的有效性。     

“祝融号”火星车反射面天线设计

针对“天问一号”火星探测器“祝融号”火星车的探测通信任务需求，提出了一种X频段轻小型宽频圆极化反射面天线。该反射面天线采用了新型一体化紧凑馈源技术，实现馈源长度和口径减小20%的同时提高了反射面天线的口径效率，抵挡了火星的尘埃影响。经过对馈源进行的仿真优化，最终实测结果表明，该天线在7.1～8.4GHz内口径效率可达62.3%,在深空探测的工作频带范围内具有较好的增益、驻波和圆极化特性，该天线已成功应用于“天问一号”火星探测器“祝融号”火星车。     

Four-body cislunar quasi-periodic orbits and their application to ballistic lunar transfer design

Examining the properties of quasi-periodic orbits provides insight into the Sun-perturbed environment in cislunar space. In this investigation, quasi-periodic trajectories and their properties are explored in the Sun-Earth-Moon four-body problem. Computation and the stability characteristics of families of invariant tori are detailed. Furthermore, this investigation offers a framework for construction of ballistic lunar transfer trajectories in the four-body problem. The framework leverages manifold trajectories to supply a set of initial conditions for construction of periapsis Poincaré maps. Periapsis maps reduce the dimensionality of the space and illuminate solutions of interest as a basis to produce feasible families of transfers. Through a continuation process, families of ballistic transfers and families of transfers that include powered lunar flybys are constructed. Ultimately, these solutions supply an initial guess for transition to the Sun-Earth-Moon ephemeris model.     

基于线性位移模式的环形谐振子理论研究

环形谐振子理论是谐振陀螺研究领域的重要内容,然而在目前经典环形谐振子理论中,仍 存在很多问题尚未解决,例如:挠度控制方程不能精确求解环形结构的弯曲问题,获得的二阶弯曲 角频率及进动系数理论解不能充分反映出其随尺寸参数(如高度h、曲率半径r 等)变化的影响规 律等。为了克服上述不足,从环形结构理论的基本假设和基本条件出发,基于环形结构的线性位 移模式假设、虚功原理和哈密顿原理,建立新的环形谐振子理论,包括广义本构关系、平衡方程和 边界条件等,获得环形结构静态弯曲问题的解析求解方法和动态问题的理论解。最后,针对典型 的环形结构静、动态问题,通过与其他理论结果进行对比,验证了理论和求解方法的正确性。工作 表明,进动系数不是恒定的,其值会随着结构尺寸的不同在0.4附近很小范围内发生变化。     

CFRP薄壁圆筒壳端面磨削工艺研究

阵列碳纤维复合材料管是由碳纤维增强复合材料(CFRP)薄壁圆筒壳阵列排布后粘接制备而成，兼具碳纤维复合材料和蜂窝结构的优异性能，是一种新型的可应用于深空探测反射面板的理想材料结构。由于材料和制备方面的特殊性，在阵列碳纤维复合材料管加工过程中会由于磨削力过大导致多种加工损伤，为其高效低损伤加工带来了挑战。本文开展CFRP薄壁圆筒壳磨削加工正交试验，系统研究磨削深度、切出角度、主轴转速、进给率对磨削力的影响规律和影响程度。研究结果表明:工艺参数对水平面合力的影响程度依次为进给率、磨削深度、切出角度、主轴转速，对轴向力的影响程度依次为切出角度、主轴转速、进给率、磨削深度。研究对阵列碳纤维复合材料管高效低损伤加工工艺的制订具有参考意义。     

瞬态热应力问题的组合杂交有限元方法

求解瞬态热应力问题的杂交元方法面临Ladyshenskaya-Babuska-Brezzi(LBB)条件的检查,其稳定性难以保证,从而提出瞬态热应力问题的组合杂交有限元方法。建立瞬态热应力问题的基于区域分解的组合杂交变分原理及其有限元离散;通过数值算例验证求解瞬态热应力问题的组合杂交元的数值性能。结果表明:在大宽厚比网格下,八节点六面体组合杂交元(CHH(0-1))可以获得与二十节点六面体元(B20)精度相当的位移计算结果和更好的应力计算结果。     

一阶微分方程终值问题拟解的存在性

利用拟上下解方法,研究了一阶微分方程终值问题u′(t)=f()t,u(t),u(T)=xT拟解的存在性,并通过构造单调迭代序列得到该终值问题的最大最小拟解。     

基于贪婪算法的航空存储资源共享机制研究

航空存储网格存储服务是汇聚航空高性能计算中心、各个组织服务器以及单个PC机贡献的存储资源,按照一定规则为用户提供数据存储的注册、分配、调度、释放的共享资源的三级存储架构。在此条件下的资源共享问题属于NP完全问题。为此,我们提出启发式贪婪算法,并对系统性能进行仿真,得出用户请求与负载关系。