Integral inversion of GRAIL inter-satellite gravitational accelerations for regional recovery of the lunar gravitational field

We present an integral-based approach for high-resolution regional recovery of the gravitational field in this article. We derive rigorous remove-compute-restore integral estimators relating the line-of-sight gravitational acceleration to an arbitrary order radial derivative of the gravitational potential. The integral estimators are composed of three terms, i.e., the truncated integration, the low-frequency line-of-sight gravitational acceleration, and the high-frequency truncation error (effect of the distant zones). We test the accuracy of the integral transformations and of the integral estimators in a closed-loop simulation over the Montes Jura region on the nearside of the Moon. In this way, we determine optimal sizes of integration radii and grid discretisation. In addition, we investigate the performance of the regional integral inversion with synthetic and realistic GRAIL observations. We demonstrate that the regional inversion results of the disturbing gravitational potential and its first order radial derivative in the Montes Jura mountain range are less contaminated by high-frequency noise than the global spherical harmonic models.     

滤基的收敛及其应用

引入滤基和滤基收敛的概念，解决了在一般拓扑空间中讨论点列极限的不能问题，并进一步用滤基的收敛统一了数学分析中的各种极限和黎曼积分的滤基极限。     

液体火箭发动机音叉式涡轮叶盘振动特性研究 (液体火箭推进专刊)

某液体火箭发动机采用整体叶盘音叉式涡轮转子，该转子盘-轴根部圆角试车考核中曾多次出现裂纹故障。为推断裂纹产生原因，通过数值计算及模态实验获取了该转子受力状态、振型、阻尼比等结构振动特性。结合振动信号分析，将裂纹故障原因聚焦到叶盘的二节径型振动。通过高频速变压力测量，得到涡轮流场内压力脉动数据，间接获取了该转子工作状态下的振动特性。试验表明被测涡轮转子流场通道内，分频幅值最大压力脉动对应涡轮转子2节径前行波振动，幅值约为11KPa。分析确定涡轮叶盘二节径振动是故障产生的主要原因。     

吸气式高超声速飞行器纵向机动飞行的鲁棒线性变参数控制

针对一个吸气式高超声速飞行器模型,研究了其鲁棒变增益控制问题。为处理对建模误     

Application of focused laser differential interferometer to hypersonic boundary-layer instability study

Accurate prediction of hypersonic boundary-layer transition plays an important role in thermal protection system design of hypersonic vehicles. Restricted by the capability of spatial diagnostics for hypersonic boundary-layer study, quite a lot of problems of hypersonic boundary-layer transition, such as nonlinearity and receptivity, remain outstanding. This work reports the application of focused laser differential interferometer to instability wave development across hypersonic boundary-layer on a flared cone model. To begin with, the focused laser differential interferometer is designed and set up in a Mach number 6 hypersonic quiet wind tunnel with the focal point in the laminar boundary-layer of a 5 degree half-angle flared cone model. Afterwards, instability experiments are carried out by traversing the focal point throughout the hypersonic boundary-layer and the density fluctuation along the boundary-layer profile is measured and analyzed. The results show that three types of instability waves ranging from 10 kHz to over 1 MHz are co-existing in the hypersonic boundary-layer, indicating the powerful capability of focused laser differential interferometer in dynamic response resolution for instability wave study in hypersonic flow regime; furthermore, quantitative analyses including spectra and bicoherence analysis of instability waves throughout the hypersonic boundary-layer for both cold and heated cone models are performed.     

高精度多维限制器的性能分析

目前常用的限制器大都是基于一维构造,无法在多维情况下保证物理量的单调特性进而导致非物理振荡.为弥补传统方法的这一构造缺陷,多维限制器(MLP)通过多维修正使单元通量值介于周围相邻单元通量的最大值和最小值之间,在保证求解精度的情况下有效避免了多维振荡.基于一维激波管、无黏涡及激波边界层干扰等算例,对高精度MLP的特性进行了研究分析.结果显示:3阶MLP在连续和间断区域均可有效地避免多维振荡;与高阶WENO(Weighted Essentially Non-Oscillatory)方法相比,3阶MLP不仅算法简单、易于实现,还可显著提高求解的精度、保单调性及收敛性.因此可用于工程及科学研究的复杂流动,具有较好的应用前景.      

基于退步控制的姿态跟踪控制律的设计

退步控制是一种有效设计级联系统控制律的方法,而基于单位四元数的刚体姿态方程就是一种典型的级联系统。文章针对恒值干扰力矩作用下的刚体姿态跟踪控制问题,基于退步控制方法设计出一种含积分项的刚体姿态控制律,控制律中引入积分项是为了消除恒值干扰力矩产生的恒值偏差;并通过在李亚普诺夫函数中引入交叉项证明了控制律的全局稳定性;最后通过数值仿真验证了控制律。     

基于非均匀余量的整体叶轮加工工艺优化策略

针对超薄结构叶片整体叶轮在制造过程中叶片产生较大的变形和切削振动,使用非均匀余量加工工艺方案,减小叶片变形提高加工质量。分析了集中载荷对薄壁结构和加厚结构变形的影响,对生产中的叶轮叶片进行非均匀余量加工工艺设计,依据优化后的工艺对叶轮进行刀具轨迹规划并进行加工试验,结果显示该工艺优化策略能有效减小超薄叶片的铣削振动和铣削变形,最大误差优化率为54.47%,平均误差优化率为52.57%,对类似高度与平均厚度比值较大且叶片扭转曲率较大的复杂零件的实际加工有一定的指导意义。     

氦质谱检漏在某型机翼装配中的应用

采用氦质谱检漏技术对某型机翼整体油箱检漏方法进行工程化应用研究,提前并准确定位漏源、精准排除故障,避免因传统气油密试验工序滞后带来的问题,降低返工及时间周期成本,具有明显的效益.该研究成果可推广应用于飞机其他密封部件装配检测,同时也对数字化检测技术在飞机密封装配中的应用进行了有益探索.     

一种关于静压气体轴承节流孔系数的计算方法

基于层流边界层方程的分离变量算法和雷诺方程的解析算法,提出了一种关于单节流孔静压气体止推轴承的节流孔系数的计算方法。该方法通过比较层流边界层方程计算获得的气体轴承的质量流量和雷诺方程计算获得的质量流量计算获得了节流孔系数。将计算获得的节流孔系数和节流孔系数为常数0.8代入单节流孔气体止推轴承的雷诺方程中,计算获得的承载力与分离变量算法求解层流边界层方程获得的承载力进行对比,可以发现,相对于采用节流孔系数为0.8来说, 采用该计算的节流孔系数求解雷诺方程的承载力与分离变量算法求解获得的承载力结果精度最大提高了8%。从而验证了该计算节流孔系数方法的正确性。