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.     

Atmospheric pressure variations at extratropical latitudes associated with Forbush decreases of galactic cosmic rays

Changes of troposphere pressure associated with short-time variations of galactic cosmic rays (GCRs) taking place in the Northern hemisphere’s cold months (October–March) were analyzed for the period 1980–2006, NCEP/NCAR reanalysis data being used. Noticeable pressure variations during Forbush decreases of GCRs were revealed at extratropical latitudes of both hemispheres. The maxima of pressure increase were observed on the 3rd–4th days after the event onsets over Northern Europe and the European part of Russia in the Northern hemisphere, as well as on the 4th–5th days over the eastern part of the South Atlantic opposite Queen Maud Land and over the d’Urville Sea in the Southern Ocean. According to the weather chart analysis, the observed pressure growth, as a rule, results from the weakening of cyclones and intensification of anticyclone development in these areas. The presented results suggest that cosmic ray variations may influence the evolution of extratropical baric systems and play an important role in solar-terrestrial relationships.     

Thrusting maneuver control of a small spacecraft via only gimbaled-thruster scheme

The thrust vector control (TVC) scheme is a powerful method in spacecraft attitude control. Since the control of a small spacecraft is being studied here, a solid rocket motor (SRM) should be used instead of a liquid propellant motor. Among the TVC methods, gimbaled-TVC as an efficient method is employed in this paper. The spacecraft structure is composed of a body and a gimbaled-SRM where common attitude control systems such as reaction control system (RCS) and spin-stabilization are not presented. A nonlinear two-body model is considered for the characterization of the gimbaled-thruster spacecraft where, the only control input is provided by a gimbal actuator. The attitude of the spacecraft is affected by a large exogenous disturbance torque which is generated by a thrust vector misalignment from the center of mass (C.M). A linear control law is designed to stabilize the spacecraft attitude while rejecting the mentioned disturbance torque. A semi-analytical formulation of the region of attraction (RoA) is developed to ensure the local stability and fast convergence of the nonlinear closed-loop system. Simulation results of the 3D maneuvers are included to show the applicability of this method for use in a small spacecraft.     

反推力装置结构优化设计

根据叶栅式反推力装置结构及其工作原理,建立了反推力装置运动学与动力学数学模型,以此为基础,取反推力装置对作动系统的最大负载力极小化为目标函数,装置各运动机构满足几何关系为约束条件,建立反推力装置结构优化模型。通过反推力装置运动学及动力学仿真,并分析在不同结构参数下反推力装置运动学及动力学特性,验证了所建立模型的合理性与正确性。在Matlab环境下采用惩罚函数法对反推力装置进行结构优化设计,结果表明：优化后的反推力装置正向最大负载力下降了24.5%,负向最大负载力下降了16.3%,且各个机构运动不出现干涉,整个反推力装置可正常工作。论文建模方法与优化结果可为反推力装置结构设计提供参考。     

Structurally coupled characteristics of rotor blade using new rigid-flexible dynamic model based on geometrically exact formulation

In rotor dynamics, blades are normally modelled as a slender beam, in which elastic deformations are coupled with each other. To identify these coupling effects, new rigid-flexible structural model for helicopter rotor system is proposed in this paper. Finite rotations of the whole blade(on flapwise, lagwise, and torsional) are described as three global rigid degrees of freedom.The nonlinear deformation geometrics of the beam is built on geometrically exact beam theory.New expressions for blade ...     

滚珠自转对高速球轴承环下润滑内部流动的影响

高速球轴承正常工作时,处于高速旋转状态,此时油相和气相因重力和离心力的作用在轴承环间剧烈运动。为了更准确地分析轴承环间的两相流动,采取VOF模型进行内部流场的模拟,采用多重旋转坐标系描述部件运动。建立球轴承环下润滑计算模型,分析了考虑滚珠自转因素下轴承内部的流动,并在此基础上探究了转速及供油量对轴承工作状态的影响。结果表明,对比整体模型与滚珠自转模型,发现滚珠自转使得轴承内部油体积分数增大,同时也使得滑油穿透间隙达到外环的能力增加;在考虑滚珠自转情况下,转速的不断增大,使得轴承内部的油相体积分数不断减小,在低转速情况下滚珠自转对流体运动影响较为明显,在高转速情况下公转速度对流体运动起到主导作用,滚珠自转对流体运动影响减弱;供油量不断的增大,使得滚珠自转模型内部的油相体积分数也在不断增大,而且滚珠自转运动会加强滑油在轴承内部的分布。     

直升机机动飞行的逆模拟

本文给出了一种直升机机动飞行的逆模拟方法以计算跟随预定飞行轨迹的驾驶员操纵,根据这一方法可以确定为完成直升机机动飞行所需的驾驶员操纵输入及直长机的飞行速度、角速度和的变化历程。直同飞行动力学模型没有作任何线化假设,其中考虑了旋翼入流的时滞效应、前行桨叶的压缩性物后行桨叶的失速特性及旋翼桨叶的非定常挥舞运动,引入了旋翼尾迹对直升机机身、尾翼和尾桨的气动干扰。最后以黑鹰直升机为例计算了鱼跃越障机动飞行     

伸展柔性附件对简谐激励的响应分析

从Hamilton原理出发推导了柔性附件伸展过程的时变系数动力学方程。对附件在简谐激励下的响应进行了数值仿真,讨论了伸展柔性附件所具有的一些独特的现象：齐次解的非瞬态特性、特解的非稳态特性、瞬时共振的延续和加强。由于这些特性的存在,大大增加了由激励引发剧烈振动而导致结构破坏的可能性。     

导弹水下点火的流体动力研究

对轴对称导弹水下点火这一非线性瞬态流动提出以下数学模型及求解方法。水流场假设为理想不可压势流,用边界积分方程法求解;喷管中的燃气流动按准一维非定常无粘完全气体流动处理,用逆步有限差分格式的特征线法求解;喷入水中的燃气流采用简化的等压泡模型,用Euler-Lagrange方法模拟气泡的演化。按照时间步进方法实现了水、气流动和物体运动的数值耦合求解。数值实验结果反映出导弹水下点火时水气流动的一些重要特性。     

高速滚子轴承的动力学分析

根据流体和弹流润滑理论,建立了滚子轴承各元件间的相互作用模型;并根据牛顿运动定律,建立了滚子轴承动力学模型,编制了相应的软件。可以计算各元件之间的载荷分布、油膜厚度,并能对滚子和保持架的打滑、滚子的歪斜和轴向窜动等运动特性进行动态模拟,从而为高速滚子轴承的设计计算和故障分析提供了一种新的有效工具。