Accurate approximation of in-ecliptic trajectories for E-sail with constant pitch angle

Propellantless continuous-thrust propulsion systems, such as electric solar wind sails, may be successfully used for new space missions, especially those requiring high-energy orbit transfers. When the mass-to-thrust ratio is sufficiently large, the spacecraft trajectory is characterized by long flight times with a number of revolutions around the Sun. The corresponding mission analysis, especially when addressed within an optimal context, requires a significant amount of simulation effort. Analytical trajectories are therefore useful aids in a preliminary phase of mission design, even though exact solution are very difficult to obtain. The aim of this paper is to present an accurate, analytical, approximation of the spacecraft trajectory generated by an electric solar wind sail with a constant pitch angle, using the latest mathematical model of the thrust vector. Assuming a heliocentric circular parking orbit and a two-dimensional scenario, the simulation results show that the proposed equations are able to accurately describe the actual spacecraft trajectory for a long time interval when the propulsive acceleration magnitude is sufficiently small.     

Flutter analysis of an airfoil with bounded random parameters in incompressible flow via Gegenbauer polynomial approximation

The effects of parameter uncertainty on the flutter characteristics of a two-dimensional airfoil in an incompressible flow were investigated through Gegenbauer polynomial approximation. The uncertain parameters, such as the linear and cubic pitch stiffness coefficients are modeled as bounded random variables with λ-PDFs (probability density functions). With the aid of Gegenbauer polynomial approximation, the two-dimensional stochastic airfoil system is transformed at first into its equivalent deterministic one. Then the Hopf-bifurcation point is determined through the equivalent deterministic system, and the onset of the flutter, together with the flutter frequency against the probability density distribution parameter and the intensity of the random variable is explored. In addition, the ranges of the peak pitch and plunge responses against the flight speed and the PDFs of the peak pitch response are obtained. Numerical results show how the probability density distribution parameters and the intensities of random parameters affect the flutter onset speed, flutter angular frequency, the upper and lower boundaries of peak responses, and the PDFs of peak responses.     

点火瞬态过程仿真模型参数辨识

建立了固体火箭发动机点火瞬态过程一维非定常流场仿真模型,采用系统辨识方法进行了模型参数不确定性研究。基于点火试验用缩比发动机试验结果,得到了传热模型参数和瞬态燃速模型参数的最优估计,提高了点火瞬态过程一维仿真模型的预估精度。采用近似方法,构建Kriging近似函数,有效解决了一维非定常流场仿真的计算复杂性问题。     

发射特性对线性各向异性散射介质内瞬态温度分布的影响

考虑各向异性散射介质内的辐射传递方向，本文考察了辐射能的重新分配过程。利用射线踪迹法结合Hottel和Sarofim区域法推导了辐射传递系数(RTCs)。考虑一维各向异性参与性半透明灰介质。两边界表面为镜反射，一个表面半透明，另一个表面不透明。辐射传递系数用于计算辐射热源项。瞬态能量方程由全隐式控制容积法求解。外界辐射加热与对流冷却同时作用于边界表面。考虑四个线性散射相函数。以各向同性散射情况比较，研究不透明边界两侧发射特性和线性散射相函数对瞬态温度分布的影响。结果表明，各向异性散射与各向同性散射介质间的相对温度差异与散射不对称参数近似成正比。     

动力学缩聚模型修正的矩阵逼近法

为避免结构动力学分析中修正有限元模型时的大型稠密矩阵运算,研究了一种用基于矩阵逼近的有限元缩聚模型修正法。根据有限元模型的缩聚和修正,给出了试验模态的扩阶、物理模态到广义模态的映射和矩阵逼近,并讨论了结构存在重频时模态的相关性。算例表明,该法可行。     

沃尔什函数理论中并元移位概念的物理解释

并元移位的概念在沃尔什函数的理论中有着重要的作用,但是,至今为止,未见有人对它的物理意义做出合理的解释.从复制理论的角度出发,在简要介绍复制理论的基础上,通过研究复制序列的位置相关性,揭示了并元移位实际上是一种特殊的距离定义,从而较为深刻地解释了并元移位概念的物理意义.     

绕近地面二维平板非定常不可压缩位势流的精确解

Yih给出了极端地效条件下二维水平平板垂直下落时有势绕流的首阶近似解;给出了同一问题在平板同时还有水平速度情况下的近似解。本文利用椭圆函数将平板和地面围成的区域保角变换至矩形内部,然后在变换平面上求解,得到了有地面效应时水平平板铅垂运动所诱导的势流精确解,以及平板同时还有水平速度情况下的“准定常”连续绕流近似解。     

超声速主流中逆向喷流流场的数值模拟

本文在差分格式NND-2基础上^[1]，提出了一个修正格式，形式简单，应用方便。从薄层近似的NS方程出发，用该格式计算了超声速主流中存在逆向喷流的钝体绕流的粘性流场，成功地捕捉到流场内的各种波系和涡系结构。计算的结果与文献[2]中的实验结果比较表明二者符合很好。     

液体火箭发动机基于时序分析的实时在线故障检测算法

针对液体火箭发动机主级稳态工作过程，采用时间序列分析理论，提出并实现了一种基于ＡＲＭＡ模型计算残差自相关函数置信区间检验的故障检测策略。经大量发动机实际热试车数据验证表明，本文所实现的故障检测算法是十分有效的。这一结果可望直接应用于工程。