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.     

一种适用于大幅值Quasi周期轨道的数值构造方法

针对现有方法在构造大幅值quasi周期轨道时收敛性和通用性不足等问题,提出一种适用于大幅值quasi周期轨道的数值构造方法。首先针对2维不变环面的计算问题,设计了映射间隔约束的环面多步微分修正算法。在此基础上,采用自然参数延拓法和伪弧长延拓法两种不同的思路构造等映射间隔的quasi周期轨道族。接着以quasi-Vertical为对象分析了两种思路各自的特点。最后以quasi-Axial, quasi-DRO等为对象验证了方法对三角平动点及多对复特征值情况的适用性。仿真结果表明,所提出的方法能够简单有效地解决多种类型幅值比超过1.2的大幅值quasi周期轨道的数值计算问题。     

环面工具加工叶根过渡曲面的刀位可行域

利用环面工具加工过渡曲面时经常发生整体干涉,主要原因是缺乏对复杂环面工具加工复杂曲面时刀位可行域的研究。虽然采用常规的优化方法在大范围内对可行刀位进行搜索是可行的,但是需要耗费大量时间。为了避免刀具与过渡曲面的干涉并同时提高加工效率,研究了一种更加符合此区域结构特点的刀位优化算法,使得叶根过渡曲面得以无干涉地整体宽行加工。通过对典型叶根过渡曲面的可行刀位进行研究,发现其可行域形状为盾形,且行宽最大的刀位位于该盾形区域的两个底部边界上,有时位于该边界的端点上。根据该原理提出一种最优刀位搜索方法——沿着盾形区域底部边界搜索,应用最优化的刀位可行域以获得高的加工效率。以某航空发动机叶片的叶根过渡曲面为例进行了刀位优化计算、仿真和加工实验,验证了该方法在叶根过渡曲面加工中的有效性。     

用反圆环面刀加工变曲率过渡曲面原理

基于宽行加工理论和广域曲率吻合原则,提出一种利用圆环面内侧作为刀具工作面的反圆环面刀具宽行加工叶片进排气边的新方法.该方法通过优化刀具摆角使具有定母圆半径刀具工作面的包络面充分逼近叶片进排气边曲面,从而使刀具能在给定的精度范围内以最大行宽和最少刀轨行数加工出进排气边.最后,以某型号发动机叶片的进气边为例进行了加工实验.结果表明该方法能够大幅提高进排气边的加工质量,且反圆环面刀的加工行宽比球头刀提高了5倍.     

Finite element analysis of an inflatable torus considering air mass structural element

Inflatable structures, also known as gossamer structures, are at high boom in the current space technology due to their low mass and compact size comparing to the traditional spacecraft designing. Internal pressure becomes the major source of strength and rigidity, essentially stiffen the structure. However, inflatable space based membrane structure are at high risk to the vibration disturbance due to their low structural stiffness and material damping. Hence, the vibration modes of the structure should be known to a high degree of accuracy in order to provide better control authority. In the past, most of the studies conducted on the vibration analysis of gossamer structures used inaccurate or approximate theories in modeling the internal pressure. The toroidal shaped structure is one of the important key element in space application, helps to support the reflector in space application. This paper discusses the finite-element analysis of an inflated torus. The eigen-frequencies are obtained via three-dimensional small-strain elasticity theory, based on extremum energy principle. The two finite-element model (model-1 and model-2) have cases have been generated using a commercial finite-element package. The structure model-1 with shell element and model-2 with the combination of the mass of enclosed fluid (air) added to the shell elements have been taken for the study. The model-1 is computed with present analytical approach to understand the convergence rate and the accuracy. The convergence study is made available for the symmetric modes and anti-symmetric modes about the centroidal-axis plane, meeting the eigen-frequencies of an inflatable torus with the circular cross section. The structural model-2 is introduced with air mass element and analyzed its eigen-frequency with different aspect ratio and mode shape response using in-plane and out-plane loading condition are studied.     

环形刀等残留高度多轴加工步距计算

针对不同曲面的环形刀多轴加工,提出了最大步距计算的数学模型,建立了残留高度为常数时步距与刀轴倾角之间的函数关系,通过函数关系推导出最佳步距的值。实验表明,该算法在保证加工精度的前提下,能有效缩短加工刀轨路径,提高加工效率。     

细长圆锥低超声速绕流尾迹流时空演化特性的研究

本文用数值方法研究了在大的迎角范围内,采用局部抛物化流动模型所得到的有关圆锥有迎角绕流尾迹流中周期解的谐分岔、亚谐分岔以及环上Ｈｏｐｆ分岔这三类不稳定性的时空结构演化与非线性相互作用。分析得到了两种不可通约频率（ｆ１,ｆ２）的强非线性相互作用以及由此而产生的频率拓宽所形成的ｍｆ１±ｎｆ２多级频带结构。研究表明：当第三个不可约频率被激发,不论时间,还是空间方向的发展都会存在混沌。在近尾区,流态随攻角增大的演化历程上,通向混沌的道路和准周期性道路相接近,但包含有带倍周期性的亚谐分岔。在固定迎角的情况下,由近尾到远尾区,通向混沌的道路也接近于准周期道路,但带有阵发性。     

Principle of machining variant with counter curvature blending surfaces torus cutter

基于宽行加工理论和广域曲率吻合原则,提出一种利用圆环面内侧作为刀具工作面的反圆环面刀具宽行加工叶片进排气边的新方法.该方法通过优化刀具摆角使具有定母圆半径刀具工作面的包络面充分逼近叶片进排气边曲面,从而使刀具能在给定的精度范围内以最大行宽和最少刀轨行数加工出进排气边.最后,以某型号发动机叶片的进气边为例进行了加工实验.结果表明该方法能够大幅提高进排气边的加工质量,且反圆环面刀的加工行宽比球头刀提高了5倍.     

EUV observation from the Earth-orbiting satellite,EXCEED

An Earth-orbiting small satellite “EXtreme ultraviolet spectrosCope for ExosphEric Dynamics” (EXCEED) which will be launched in 2012 is under development. The mission will carry out spectroscopic and imaging observation of EUV (Extreme Ultraviolet: 60–145 nm) emissions from tenuous plasmas around the planets (Venus, Mars, Mercury, and Jupiter). It is essential for EUV observation to put on an observing site outside the Earth’s atmosphere to avoid the absorption. It is also essential that the detection efficiency must be very high in order to catch the faint signals from those targets. In this mission, we employ cesium iodide coated microchannel plate as a 2 dimensional photon counting devise which shows 1.5–50 times higher quantum detection efficiency comparing with the bared one. We coat the surface of the grating and entrance mirror with silicon carbides by the chemical vapor deposition method in order to archive the high diffraction efficiency and reflectivity. The whole spectrometer is shielded by the 2 mm thick stainless steel to prevent the contamination caused by the high energy electrons from the inner radiation belt. In this paper, we will introduce the mission overview, its instrument, and their performance.