Space-Wise,Time-Wise,Torus and Rosborough Representations in Gravity Field Modelling

The decade of the geopotentials started July 2000 with the launch of the German high-low SST mission CHAMP. Together with the joint NASA-DLR low-low SST mission GRACE and the ESA gradiometry mission GOCE an unprecedented wealth of geopotential data becomes available over the next few years. Due to the sheer number of unknown gravity field parameters (up to 100 000) and of observations (millions), especially the latter two missions are highly demanding in terms of computational requirements. In this paper several modelling strategies are presented that are based on a semi-analytical approach. In this approach the set of normal equations becomes block-diagonal with maximum block-sizes smaller than the spherical harmonic degree of resolution. The block-diagonality leads to a rapid and powerful gravity field analysis tool. Beyond the more-or-less conventional space-wise and time-wise formulations, the torus approach and Rosborough's representation are discussed. A trade-off between pros and cons of each of the modelling strategies will be given. This revised version was published online in August 2006 with corrections to the Cover Date.     

离散事件动态系统的GSMP模型及扰动分析

对离散事件动态系统（ＤＥＤＳ）的仿真过程建立了包含中断事件集和驱动事件集的广义半马尔可夫过程（ＧＳＭＰ）模型，对参数的无穷小扰动所引起的系统状态转移时刻进行了扰动分析，最后，讨论了扰动分析所需要的可变换条件和样本性能函数的关系，并提出值得进一步研究的问题。     

飞机最快上升转弯轨迹的计算

70年代初,Miele A等人提出SGRA方法用于优化飞行轨迹计算。但方法存在时间加权系数难于确定、长时间的飞行轨迹计算积分精度不易控制及要计算数字微分等不足。对此提出一改进梯度方法,并计算了某型战斗机从亚音速三维转弯升高到超音速的最短时间飞行轨迹。结果表明,本方法稳定有效,为解决飞机最快机动轨迹的优,乜提供了一种行之有效的手段。     

钛合金板材激光弯曲成形的研究

 对常温下钛合金板材进行了激光弯曲成形研究。分析了激光功率、扫描速度、光斑大小对板材弯曲变形的影响,获得理想工艺参数范围为:功率1 .0～1 .2 k W、扫描速度2～3 m/min、光斑直径6～7mm。同时分析了板材厚度、宽度及扫描次数对材料弯曲变形的影响,为钛合金板材弯曲成形提供了一种新途径。     

DME Interference mitigation for L-DACS1 based on system identification and sparse representation

L-band digital aeronautical communication system 1 (L-DACS1) is a promising candi-date data-link for future air-ground communication, but it is severely interfered by the pulse pairs (PPs) generated by distance measure equipment. A novel PP mitigation approach is proposed in this paper. Firstly, a deformed PP detection (DPPD) method that combines a filter bank, correlation detection, and rescanning is proposed to detect the deformed PPs (DPPs) which are caused by mul-tiple filters in the receiver. Secondly, a finite impulse response (FIR) model is used to approximate the overall characteristic of filters, and then the waveform of DPP can be acquired by the original waveform of PP and the FIR model. Finally, sparse representation is used to estimate the position and amplitude of each DPP, and then reconstruct each DPP. The reconstructed DPPs will be sub-tracted from the contaminated signal to mitigate interference. Numerical experiments show that the bit error rate performance of our approach is about 5 dB better than that of recent works and is closer to interference-free environment.     

Numerical investigation on flow nonuniformity-induced hysteresis in scramjet isolator

Numerical simulation and theoretical analysis were conducted to study the hysteresis inside scramjet isolator during the reciprocating process of back pressure variation. It is revealed that only a regular reflection is theoretically possible for two leading shocks when the inflow Mach number is greater than 2.0, and no hysteresis can occur in the transition between shock reflection types. Nevertheless, wall suction, gas injection, and background waves cause non-uniformity of the incoming flow and would make hysteresis possible. Besides the classical hysteresis in the transition between shock reflection, new kinds of hysteresis were found in both the deflection angle of separated boundary layer and the location of the shock train. Moreover, the occurrence of hysteresis in the deflection angle of the separated boundary layer is accompanied with the shock reflection hysteresis. In the case with background waves or gas injection, hysteresis in the starting position of leading shock was observed too. As back pressure decreases, the leading shock does not follow the same path as that as the back pressure increases, and it is anchored at the location where the background shock or the injection interacts with the leading shock. It is inferred that, if two strong adverse pressure gradient regions move towards and interact with each other, hysteresis will take place when they start to separate.     

Semi-stochastic modification of second-order radial derivative of Abel–Poisson’s formula for validating satellite gravity gradiometry data

The geoid can be used to validate the satellite gravity gradiometry data. Validation of such data is important prior to their downward continuation because of amplification of the data errors through this process. In this paper, the second-order radial derivative of Abel–Poisson’s formula is modified stochastically to reduce the effect of the far-zone geoid and generate the second-order radial derivative of geopotential at 250 km level. The numerical studies over Fennoscandia show that this method yields the gradients with an error of 10 mE and when the long wavelength of geoid is removed from the estimator and restored after the computations (remove–compute–restore) the error will be in 1 mE level. We name this method semi-stochastic modification. The best case scenario is found when the degree of modification of the integral formula is 200 and the long wavelength geoid to degree 100 is removed and restored. In this case the geoid should have a resolution of 15′ × 15′ and the integration should be performed over a cap size of 3°.     

基于Fibonacci搜索方法的航空发动机性能寻优

介绍了Fibonacci搜索方法应用于发动机性能优化中的原理,建立带两个出口面积、气流马赫数可变的引射器的涡喷发动机的总体性能计算模型,应用Fibonacci搜索方法在优化参数区间内对该发动机进行了最大推力、最低油耗、最低涡轮前温度模式的寻优.举例说明了Fibonacci搜索方法应用的具体过程.给出了不同高度、马赫数下的寻优结果.结果表明:最优目标性能满足的约束边界与飞行高度、马赫数密切相关.不同的飞行高度、马赫数对应了不同的最优控制策略.但不论飞行任务如何,根据该方法进行的优化控制所获得的目标性能是最佳的.该优化方法不仅适用于该类涡喷发动机,也为其他类型航空发动机的优化控制打下一定的基础.      

Optimization and verification of free flight separation similarity law in high-speed wind tunnel

Based on the similarity of separation time, a similarity law optimization method for high-speed weapon delivery test is derived. The typical separation state under wind load is simulated by the numerical method. The real separation data of aircraft, separation data of previous test methods, separation data of ideal wind tunnel test of previous methods, and simulation data of the proposed optimization method are obtained. A comparison of the data shows that the method proposed can improve the performance of tracking. Similarity law optimization starts with the development of motion equations and dynamic equations in the windless state to address the problems of mismatching between vertical and horizontal displacement, and to address the problems of separation trajectory distortion caused by insufficient gravity acceleration of the scaling model of existing light model. The ejection velocity of the model is taken as a factor/vector, and is adjusted reasonably to compensate the linear displacement insufficiency caused by the insufficient vertical acceleration of the light model method, so as to ensure the matching of the vertical and horizontal displacement of the projectile, and to improve the consistency between the test results of high-speed projection and the actual separation trajectory. The optimized similarity law is applicable to many existing free-throwing modes of high-speed wind tunnels. The optimized similarity law is not affected by the ejection velocity and hanging mode of the projectile. The optimized similarity law is suitable not only for the launching of the buried ammunition compartment and external stores, but also for the test design of projectile launching and gravity separation.     

逆压力梯度下几何参数对气膜冷却效率的影响

采用放大模型在低速回流式风洞中进行了实验,研究了逆压力梯度下圆柱形孔、扇形孔和双向扩张形孔的气膜冷却效率,分析了孔间距、前倾角和径向角等几何参数对气膜冷却效率的影响.结果表明:扇形孔的气膜冷却效率最大,双向扩张形孔次之,圆柱形孔最小.孔间距越小,气膜冷却效率越大,且动量比越小,孔间距的影响越大.前倾角越小,气膜冷却效率越大,动量比越大,前倾角的影响越大.径向角的影响较复杂,小于30°且递增时,气膜冷却效率随动量比的增大而减小;大于30°时,气膜冷却效率随径向角的增大而减小.