Satellite dynamics under the influence of gravitational and aerodynamic torques. A study of stability of equilibrium positions

The dynamics of the rotational motion of a satellite, moving in the central Newtonian force field under the influence of gravitational and aerodynamic torques, is investigated. The paper proposes a method for determining all equilibrium positions (equilibrium orientations) of a satellite in the orbital coordinate system for specified values of aerodynamic torque and the major central moments of inertia; the sufficient conditions for their existence are obtained. For each equilibrium orientation the sufficient stability conditions are obtained using the generalized energy integral as the Lyapunov function. The detailed numerical analysis of the regions where the stability conditions of the equilibrium positions are satisfied is carried out depending on four dimensionless parameters of the problem. It is shown that, in the general case, the number of satellite’s equilibrium positions, for which the sufficient stability conditions are satisfied, varies from 4 to 2 with an increase in the value of the aerodynamic torque magnitude.     

多轴低频随机振动试验控制方式研究

文章基于某三轴六自由度液压振动试验系统,开展了多轴低频随机振动试验控制方式研究。首先介绍了多轴低频随机振动控制的基本原理,然后设计了台面下、台面上、夹具上等6种控制方式,详细介绍了各种控制方式下转换矩阵、转角条件的计算方法,并开展试验研究。结果表明:在多轴低频振动试验中,只要符合刚体六自由度计算原理,试验中可根据具体情况选择不同数量、位置的控制点,配合不同的转动条件和控制转换矩阵,实现规定的多自由度加载条件。该研究成果可为今后开展多轴低频振动试验时合理设置控制参数提供参考。     

固体发动机前封头绝热层在加速度下烧蚀计算

对固体火箭发动机前封头ＮＢＲ绝热层在飞行加速度作用下的烧蚀机理与烧蚀模型进行了研究。     

相对振型转换法求解分段线性边界条件连续体振动响应的优点

为了研究航天领域关注的非线性连接结构对整体结构振动响应的影响,文章利用变分原理,重新推导了基于振型转换的求解具有任意分段线性及可以转换为分段线性边界条件的连续体振动响应的方法——相对振型转换法,并与文献[10]中的混合方法的推导过程进行了对比,印证了相对振型转换法的正确性及其优点。针对一个施加均布载荷的端点单侧带阻挡的悬臂梁算例,分别应用相对振型转换法及力积分法进行了求解,通过悬臂梁端点的分岔响应研究了系统的非线性响应,讨论了两种方法得到的结果。     

廊坊市环境空气污染变化趋势及原因分析

本文根据"十五"期间廊坊市五年大气常规监测结果,采用spearman秩相关系数法、空气污染指数法分析评价了该市大气环境质量的现状及呈逐年明显改善变化趋势,并对其污染特征和变化趋势进行了原因分析。     

单通道控制旋转弹系统动力学建模与Hopf分岔

为准确预测旋转弹系统的锥形运动形态并判断其稳定性，提出一对鸭舵引起的气动不对称性以及可能引起复杂非线性动力学特性的非线性因素，建立能准确描述单通道控制旋转弹系统姿态运动的复数形式的动力学模型并分析讨论其动态稳定性条件。利用分岔理论对单通道控制旋转弹系统开展Hopf分岔研究，给出了Hopf分岔发生的判断准则；推导了用于判定极限环稳定的第一Lyapunov系数。数值仿真结果验证了条件的正确性与有效性并发现了拟周期运动及混沌运动。研究结果为旋转弹的控制参数设计及结构参数设计提供理论参考。     

电子产品振动应力筛选试验方法应用探讨

正确的振动应力筛选试验方法在电子产品研制工程中扮演着重要的角色。文章从GJB 1032给出的筛选的目的和对象着手分析,讨论振动应力筛选的条件和方法;就工程中常见的几种"欠筛选"和"过筛选"情况进行深入探讨,分析研究了几种正确的振动应力筛选方法。根据产品实际情况选择正确的筛选条件,并采用相应的带谷控制方法,能够避免欠筛选和过筛选,完成规定的筛选任务。     

基于零J_2摄动条件的近圆轨道编队保持双脉冲最优控制方法研究

重点研究了考虑J2摄动作用的近圆轨道编队构形保持双脉冲最优控制策略.利用轨道要素法建立了考虑J2摄动作用影响的相对运动方程,推导了消除相对摄动影响长期项的零J2摄动条件,并利用该条件对C-W方程得到的编队初始条件进行了修正,得到了对J2摄动不太敏感的相对轨道.然后,基于C-W方程建立了编队保持双冲量最优控制模型,并利用非线性规划方法得到了编队保持所需的最优控制脉冲.仿真结果表明,J2项摄动对相对运动的破坏作用明显减小,提出的双脉冲最优控制方法能够有效实现编队保持的高精度控制.     

最少燃料消耗的固定推力共面轨道变轨研究

本文研究了推力固定条件下，从圆轨道进入共面圆轨道一次入轨最节省燃料的推力方向控制策略。这类问题都可归结为两点边值问题，对自由初值的选取作了讨论，并采用打靶法迭代求解。计算了从停泊轨道到同步转移道以及两个过地圆轨道之间的最优转移，获得满意的结果。     

On correctness of canonical formulation of the problem of motion of submicron particles in the Earth’s plasmasphere

The general conditions of applicability are formulated for the canonical formulation of the problem of motion of micro-particles with variable electric charge in the near-Earth space. The validity of these conditions is demonstrated for particles of sub-micron dimension executing orbital motion in the Earth’s plasmasphere.     

Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments

We consider a nonstationary nonlinear integrodifferential equation describing the evolution of a disturbed plane flame front. The following two-dimensional problems are solved numerically: (i) The formation of a wrinkled noncellular laminar flame front under conditions of spontaneous hydrodynamic instability. (ii) The formation of a turbulent cellular flame front under conditions of spontaneous diffusional-thermal instability. (iii) The formation of a turbulent wrinkled-cellular flame front under conditions of spontaneous hydrodynamic and diffusional-thermal instability. We compute the flame front velocity in laminar and turbulent propagation.     

带可收缩挠性附件受控航天器稳定性分析

带可伸缩挠性附件受控航天器在附件收缩过程中可能因为收缩率设计不当导致系统不稳定,本文利用李亚普诺夫稳定性定理,推导出利用姿态角和姿态角速度反馈设计的PD控制律来实现可伸缩挠性附件在收缩过程稳定性控制的充分条件,对设计满足系统稳定性要求的收缩率和控制律具有指导意义。     

微重力下热薄材料燃烧特性的窄通道实验研究

利用高度分别为10 mm,12 mm和14 mm的水平窄通道对微重力环境下热薄材料表面的火焰传     

The Dynamics of a Satellite-Gyrostat with a Single Nonzero Component of the Vector of Gyrostatic Moment

The dynamics of a satellite-gyrostat moving in the central Newtonian force field along a circular orbit is studied. In the particular case when the vector of gyrostatic moment is parallel to one of the satellite’s principal central axes of inertia, all the equilibrium states are determined. For each equilibrium orientation, sufficient conditions of stability are obtained as a result of the analysis of the generalized energy integral, and necessary conditions of stability are determined as a result of analysis of the linearized equations of motion. The evolution of regions of validity for the conditions of stability of equilibrium positions are studied in detail depending on the parameters of the problem. All the bifurcation values of the parameters at which qualitative changes of the regions of stability take place are determined.__________Translated from Kosmicheskie Issledovaniya, Vol. 43, No. 4, 2005, pp. 283–294.Original Russian Text Copyright © 2005 by Sarychev, Mirer, Degtyarev.     

航天火工机构可靠性的强化试验验证方法

针对性能参数服从正态分布的一类航天火工机构,参照“应力-强度”模型,提出了一 种强化试验的小子样可靠性验证方法。试验中将火工机构性能参数置于相对额定条件更为严 酷的条件下,用传统的成败型试验方法评估其可靠性,然后结合火工机构的力学特性推导出 它在额定条件下的可靠性。公式的计算验证表明：利用本方法,在0.95的置信度下,只需要 少于10次的试验就能够评定0.9999～0.99999的可靠性。最后,文章对强化试验的设计方法 进行了说明。
     

The PROCESS experiment: amino and carboxylic acids under Mars-like surface UV radiation conditions in low-earth orbit

The search for organic molecules at the surface of Mars is a top priority of the next Mars exploration space missions: Mars Science Laboratory (NASA) and ExoMars (ESA). The detection of organic matter could provide information about the presence of a prebiotic chemistry or even biological activity on this planet. Therefore, a key step in interpretation of future data collected by these missions is to understand the preservation of organic matter in the martian environment. Several laboratory experiments have been devoted to quantifying and qualifying the evolution of organic molecules under simulated environmental conditions of Mars. However, these laboratory simulations are limited, and one major constraint is the reproduction of the UV spectrum that reaches the surface of Mars. As part of the PROCESS experiment of the European EXPOSE-E mission on board the International Space Station, a study was performed on the photodegradation of organics under filtered extraterrestrial solar electromagnetic radiation that mimics Mars-like surface UV radiation conditions. Glycine, serine, phthalic acid, phthalic acid in the presence of a mineral phase, and mellitic acid were exposed to these conditions for 1.5 years, and their evolution was determined by Fourier transform infrared spectroscopy after their retrieval. The results were compared with data from laboratory experiments. A 1.5-year exposure to Mars-like surface UV radiation conditions in space resulted in complete degradation of the organic compounds. Half-lives between 50 and 150?h for martian surface conditions were calculated from both laboratory and low-Earth orbit experiments. The results highlight that none of those organics are stable under low-Earth orbit solar UV radiation conditions.     

基于labview的冷弯型钢机组力学性能测量系统

根据冷弯型钢机组的实际条件,利用传感器电测法来测量冷弯型钢机组的力能参数系统,以建立对机组的轧制力、主轴扭矩及转速的实时状态监控.同时实现机组运行时轧制力、主轴扭矩及转速这三部分力能信息的显示和存储,以供调出分析系统性能之用,甚至可以用来进行机械的故障诊断.将物理信号转化为电信号利于传输和数据处理,与虚拟仪器的软件部分...     

Generalized restricted circular three-body problem as a model for dynamics of binary asteroids

Exploration of the Solar System has recently revealed the existence of a large number of asteroids with satellites, which has stimulated interest in studying the dynamics of such systems. This paper is dedicated to the analysis of the relative motion of a binary asteroid. The conditions of existence of such a system (i.e., when its components do not run away) are derived in the Introduction. Then it is assumed that the satellite has no significant effect on the motion of the main asteroid, the latter being modeled as a dumbbell-like precessing solid body. The equations of motion of this system are a two-parameter generalization of the corresponding equations of the restricted circular three-body problem. It is demonstrated that in the system under consideration there exist steady-state motions in which the small asteroid is equidistant from attracting centers at the ends of the dumbbell (an analog to triangle libration points). The conditions of existence of such motions are derived, and the positions with respect to the dumbbell are analyzed in detail. Examination of the stability of the triangle libration points is reduced to investigation of a characteristic equation of the sixth degree. The stability conditions are derived in the case when the main asteroid executes near-planar motion.     

基于特征模型的全系数自适应控制系统稳定性研究

讨论了基于特征模型的黄金分割加逻辑微分自适应控制律组成闭环系统的稳定性问题。针对参数未知、线性定常或慢时变的二阶不稳定对象,本文给出了在采样周期满足一定条件下,上述闭环系统渐近稳定的充分条件,其中包含对于时变参数变化范围和非线性阻尼系数的约束条件。     

基于labview的冷弯型钢机组力学性能测量系统

根据冷弯型钢机组的实际条件,利用传感器电测法来测量冷弯型钢机组的力能参数系统,以建立对机组的轧制力、主轴扭矩及转速的实时状态监控。同时实现机组运行时轧制力、主轴扭矩及转速这三部分力能信息的显示和存储,以供调出分析系统性能之用,甚至可以用来进行机械的故障诊断。将物理信号转化为电信号利于传输和数据处理,与虚拟仪器的软件部分的结合使得数据处理不依赖于硬件条件,获得较高的效率与精度。