一种膨胀映射的不动点定理

王尚志给出了若干种膨胀映射的概念，并证明了它们的不动点存在定理。对其中第一型膨胀映射的不动点定理做了进一步推广。     

正态分位点的矩阵算法浅析

假设标准正态的t分位点记为z(t),本文将根据z(t)的Taylor展开式中各个系数之间的矩阵递推关系,给出一种计算z(t)的近似值的方法,并给出具体的程序运算来验证本文的结论.     

Methane pyrolysis in preparation of pyrolytic carbon: Thermodynamic and kinetic analysis by density functional theory

The density functional theory has been successfully applied in analyzing pyrolytic carbon deposition by methane pyrolysis from the view of thermodynamics and kinetics based on a total number of 39 elementary reactions. M06-2X/def2-TZVP level was employed to optimize species structures and locate the transition states. The enthalpy changes and Gibbs free energy changes of all the reactions in the temperature range of 298.15–1800 K were derived with optimized species. Results show that the reacting temperature should be above 1200 K based on the equilibrium constant analysis, which is consistent with the typical reaction temperature adopted in experiments. Potential energy surface profiles report that radical attacking reactions have lower energy barriers than those direct decomposition reactions, especially hydrogen radical attacking reactions. The energy barriers of the first steps, dehydrogenations of methane and ethylene, are 272.4 kJ·mol⁻¹ and 288.9 kJ·mol⁻¹ at 1200 K, which are very close to the experimental activation energy for methane pyrolysis. The most favorable decomposition reaction path is the path of hydrogen radical attacking reactions. The highest energy barrier of the path at 1200 K is 185.7 kJ·mol⁻¹ presented by the C–H bond breaking in ethynyl attacked by hydrogen radical.     

Analysis of the data processing strategies of spherical harmonic expansion model on global ionosphere mapping for moderate solar activity

Spherical harmonic (SH) expansion is widely used to model the global ionosphere map (GIM) of vertical total electron content (VTEC). According to the impact of different data processing methods of the SH expansion model on the VTEC maps, we specifically performed comprehensive analysis in terms of the data sampling rate, the time resolution, the spherical harmonic degree, and the relative constraint. One month of GPS data (January in 2016) from the International GNSS (Global Navigation Satellite System) Service (IGS) network in a moderate ionospheric activity period at the descending phase of Solar Cycle 24 was processed. To improve the computational efficiency of the daily GIM generation, the data sampling rate of 5?min was recommended allowing the GIM precision loss within 0.10 TECU (total electron content unit). The global VTEC map could be better represented in temporal and spatial domains with higher time resolution and higher spherical harmonic degree, especially at low latitude bands and in the southern hemisphere. The GIM precision improvement was about 10.91% for 1-h and about 15.15% for 0.5-h compared with the commonly used 2-h time resolution. The use of spherical harmonic degree 17 or 20 instead of 15 could improve the precision by 3.19% or 6.06%. We also found that an optimal relative constraint had to be found experimentally considering both the GIM precision and the GIM root mean square (RMS) map.     

失效概率矩独立全局灵敏度分析的高效算法

失效概率矩独立全局灵敏度分析对指导可靠性优化至关重要，本文从乘法降维及Edgeworth级数展开的角度提出一种失效概率矩独立全局灵敏度指标分析的高效算法。所提算法通过Edgeworth级数展开将失效概率矩独立全局灵敏度指标的求解转化为输出无条件及条件前四阶整数矩的求解。对于输出的无条件及条件四阶矩的计算，基于乘法降维的思想，本文推导了重复利用计算输出的无条件矩的输入输出样本来计算条件矩以及外层关于输入变量一维积分的计算公式，使得仅需重复利用输出无条件前四阶矩求解产生的积分网格内的数据即可同时求得输出的前四阶条件矩以及外层关于输入变量的一维积分。所提算法大大提高了失效概率矩独立全局灵敏度的分析效率。航空发动机涡轮盘以及汽车前轴的分析结果验证了所提算法的高效性及准确性。     

数字电路板故障诊断方法

介绍了数字电路故障诊断向量测试法中功能测试和在线测试的具体方法。结合现代武器系统数字电路板的检测和诊断需要,分别阐述了数字组合和时序电路板、数模混合电路板及微处理器电路板的故障诊断策略及步骤。举例说明了故障诊断方法在数字电路板自动测试系统中的应用。     

用粘性涡方法计算伞状物绕流

文章用粘性涡方法计算了二维伞状物绕流问题。首先阐述了涡方法的基本理论 ,包括涡元的对流、粘性扩散、物面涡元的脱落、物体所受气动力计算等 ,然后介绍了使用涡方法的一般步骤。最后将完全充满的伞衣简化为二维圆弧壳 ,计算了伞衣内外压力分布、阻力系数及升力系数     

基于数值模拟的孔构件挤压强化疲劳寿命预测

为研究飞机机身7050铝合金孔构件挤压强化后的疲劳增益,采用数值模拟与试验研究相结合的方法,对孔构件的挤压强化过程、疲劳加载过程、疲劳裂纹萌生和裂纹扩展过程进行研究。通过数值模拟探究了孔构件在不同状态下危险截面的应力分布和对应的疲劳行为,分析了残余应力场对疲劳性能的影响,探讨了残余应力与疲劳裂纹萌生和裂纹扩展的内在联系,建立了孔构件挤压强化疲劳寿命数值预测模型。结果表明：孔挤压强化引入的残余压应力可以减小孔构件在受载时孔壁最大拉应力,改变疲劳裂纹的萌生位置,抑制疲劳裂纹萌生和裂纹扩展,提高7050铝合金孔构件疲劳寿命近2倍,疲劳寿命数值预测模型误差在12%以内。     

双脉冲固体火箭发动机压强振荡特性研究

为了研究隔舱消融对双脉冲发动机中燃烧室的压强振荡影响规律,选择隔舱消融几个典型时刻进行研究,运用大涡模拟(LES)方法,对Ⅱ脉冲工作时的发动机流场稳定性进行数值模拟.最后得到了各工况下的压强时间曲线及其快速傅氏变换(FFT)结果.分析表明:由于Ⅱ脉冲工作初期隔舱暴露在流场中产生额外扰动,以及隔舱级间通道形成狭窄通道的加速作用,是导致边界层分离而引起障碍涡脱落的主要因素.点火初期,双脉冲发动机易发生轻微压强振荡.随隔舱消融,整个流场在发动机工作中、后期逐渐趋于平稳.      

垂直起降运载火箭返回轨迹不确定性优化

针对垂直起降运载火箭一子级在返回着陆的过程中存在的参数不确定性,提出了一种基于非侵入式多项式混沌展开的序列优化和可靠度评估的返回轨迹不确定性优化方法。首先,建立了返回多飞行段轨迹在确定性条件下的优化模型。然后,为同时兼顾轨迹的鲁棒性和可靠性,建立了由鲁棒最优目标函数、基于可靠度的路径约束和鲁棒等式约束组成的不确定性返回轨迹优化模型。最后,基于非侵入式多项式混沌展开方法对鲁棒目标函数和等式约束进行量化处理,将原随机鲁棒优化问题转化为高维状态空间中的等价确定性优化问题;为提高路径约束的可靠度评估效率,基于非侵入式多项式混沌展开方法对最可能点法进行改进,进一步发展了序列优化和可靠度评估策略。数值仿真结果表明,所提出的不确定性优化方法具有较好的鲁棒性,可以满足工程可靠性指标要求,同时还具有较高的精度和计算效率。