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。     

Stability of relative equilibria of the full spacecraft dynamics around an asteroid with orbit–attitude coupling

The full dynamics of spacecraft around an asteroid, in which the spacecraft is considered as a rigid body and the gravitational orbit–attitude coupling is taken into account, is of great value and interest in the precise theories of the motion. The spectral stability of the classical relative equilibria of the full spacecraft dynamics around an asteroid is studied with the method of geometric mechanics. The stability conditions are given explicitly based on the characteristic equation of the linear system matrix. It is found that the linearized system decouples into two entirely independent subsystems, which correspond to the motions within and outside the equatorial plane of the asteroid respectively. The system parameters are divided into three groups that describe the traditional stationary orbit stability, the significance of the orbit–attitude coupling and the mass distribution of the spacecraft respectively. The spectral stability of the relative equilibria is investigated numerically with respect to the three groups of system parameters. The relations between the full spacecraft dynamics and the traditional spacecraft dynamics, as well as the effect of the orbit–attitude coupling, are assessed. We find that when the orbit–attitude coupling is strong, the mass distribution of the spacecraft dominates the stability of the relative equilibria; whereas when the orbit–attitude coupling is weak, both the mass distribution and the traditional stationary orbit stability have significant effects on the stability. We also give a criterion to determine whether the orbit–attitude coupling needs to be considered.     

超声速膨胀角入射激波/湍流边界层干扰直接数值模拟

为了揭示膨胀效应对激波/湍流边界层干扰区内复杂流动现象的影响规律,采用直接数值模拟方法对来流马赫数2.9、30°激波角的入射激波与10°膨胀角湍流边界层相互作用问题进行了数值研究。系统地探讨了激波入射点分别位于膨胀角上游、膨胀角角点和膨胀角下游3种工况下膨胀角干扰区内若干基本流动现象,如分离泡、物面压力脉动及激波非定常运动、湍流边界层统计特性和相干结构动力学过程等。结果表明,激波入射点流向位置改变对分离区流向和法向尺度的影响显著,尤其是当激波入射点位于角点及其下游区域。研究发现,膨胀角干扰区内物面压力脉动强度急剧减小,分离区内压力波向下游传播速度将降低而在膨胀区内将升高,膨胀效应极大地抑制了分离激波的低频振荡运动。相较于入射激波与平板湍流边界层干扰,入射激波流向位置改变对膨胀角再附区速度剖面对数区及尾迹区影响显著,将导致其内层结构参数升高而外层降低,近壁区内将呈现远离一组元湍流状态的趋势。此外,流向速度脉动场本征正交分解分析指出,主模态空间结构集中在分离激波及剪切层根部附近而高阶模态以边界层内小尺度正负交替脉动结构为主。低阶重构流场结果表明,前者对应为分离泡低频膨胀/收缩过程而后者表征为分离泡高频脉动。     

膨胀效应对激波/湍流边界层干扰的影响

采用直接数值模拟方法对来流马赫数2.9,30°激波角的入射激波与膨胀角湍流边界层干扰问题进行了数值研究。入射激波在壁面上的名义入射点固定在膨胀角角点,膨胀角角度分别取为0°、2°、5°和10°。通过改变膨胀角角度,考察了膨胀效应对干扰区内复杂流动现象的影响规律和作用机制,如分离泡、物面压力脉动特性、膨胀区湍流边界层和物面剪切应力脉动场等。研究发现,膨胀角角度的增大使得分离区流向长度和法向高度急剧降低,尤其是在强膨胀效应下分离泡形态呈现整体往下游偏移的双峰结构。物面压力脉动功率谱结果表明,膨胀角为2°和5°时,分离激波的非定常运动仍表征为大尺度低频振荡,而膨胀角为10°,强膨胀效应极大地抑制了分离激波的低频振荡,加速了下游再附边界层物面压力脉动的恢复过程。膨胀区湍流边界层雷诺剪切应力各象限事件贡献和出现概率呈现逐步恢复到上游湍流边界层的趋势,Görtler-like流向涡结构展向和法向尺度变化剧烈,同时在近壁区将诱导生成大量小尺度流向涡。此外,物面剪切应力脉动场的本征正交分解分析指出,膨胀效应的影响体现在低阶模态能量的急剧降低从而使得高阶模态的总体贡献相对升高。     

脉冲爆震燃烧室出口燃气能量分布特性

为了提高脉冲爆震燃烧室出口燃气能量转换效率,采用数值计算方法,研究了带气动阀和爆震增强结构的脉冲爆震燃烧室出口燃气能量分布特性,结果表明:脉冲爆震燃气的膨胀过程先后经历一次膨胀、二次膨胀和过度膨胀3个阶段,单个周期内二次膨胀阶段的时间和能量占比最大;燃烧室出口燃气压力势能、动能、内能和能流密度的分布主要受燃气压力的影响,且变化规律与燃气压力一致;一次膨胀阶段燃气增加的压力势能、动能、内能分别占单个周期的479%、259%、251%;二次膨胀阶段燃气增加的压力势能、动能、内能分别占单个周期的502%、576%、581%。     

光纤环及其骨架材料膨胀系数测量方法研究与实现

介绍了一种光纤环及其骨架膨胀系数的简易测量方法,并组建了测量系统。利用铝材和不锈钢,对系统的可行性进行了验证,同时用该系统测量了光纤环及不同骨架的膨胀系数,并对实验数据进行了分析研究,实验结果表明：该系统能够为找出与光纤环相匹配的骨架材料提供技术支撑,具有一定的实用和推广应用价值。     

扇区繁忙时段交通流的不均衡度量化研究

以容流量及拥挤度等指标进行的空中交通运行评价无法全面反映空中交通的实际运行状况.在依据重要点对航路段进行分组的基础上,通过计算超容比,确定了扇区繁忙时段,基于多项式二次拟合分析了超容比与基尼系数以及泰尔指数之间的数量关系,基于3σ原则确定了不同超容比情况下的理想不均衡度的取值范围.应用方法对厦门1号扇区的实际运行数据进行了计算分析,验证了不均衡度量化方法的适用性.     

分组级短码长LT喷泉码的工程应用

针对LT喷泉码在准单向链路、高差错、链路恶劣易中断的信道环境应用时出现的运算量大、译码时延长、编码效率较低等问题,文章提出使用基于数据分块的分组级短码长喷泉码方案。其思想是将短码长LT码方案和分组级LT码方案结合起来,并且在数据子块的度序列生成过程中加入度值检测机制。实验仿真结果表明:与已提出的LT码方案相比,该方案能够有效地降低译码开销、计算代价和译码时延,提高系统的最大传输效率。     

A new structural reliability index based on uncertainty theory

The classical probabilistic reliability theory and fuzzy reliability theory cannot directly measure the uncertainty of structural reliability with uncertain variables,i.e.,subjective random and fuzzy variables.In order to simultaneously satisfy the duality of randomness and subadditivity of fuzziness in the reliability problem,a new quantification method for the reliability of structures is presented based on uncertainty theory,and an uncertainty-theory-based perspective of classical Cornell reliability index is explored.In this paper,by introducing the uncertainty theory,we adopt the uncertain measure to quantify the reliability of structures for the subjective probability or fuzzy variables,instead of probabilistic and possibilistic measures.We utilize uncertain variables to uniformly represent the subjective random and fuzzy parameters,based on which we derive solutions to analyze the uncertainty reliability of structures with uncertainty distributions.Moreover,we propose the Cornell uncertainty reliability index based on the uncertain expected value and variance.Experimental results on three numerical applications demonstrate the validity of the proposed method.