复杂结构充液航天器晃动动力学与姿态稳定性

复杂充液航天器的晃动及其对控制系统的影响是当前空间高技术的重要问题。 本文首先由力学变分原理导出充液复杂系统的方程式,其中包括流体力学方程和相应的边界条件,以及弹性连续介质力学方程;特别是,考虑了强毛细作用力的影响。其次,考查了微重条件下带有隔板的贮箱内的液体晃动、带有网孔隔板腔体内的液体晃动和粘弹性隔板对抑制晃动的作用。另外,本文将分析带有多腔充液自旋卫星的姿态稳定性,以及晃动、液体涡旋、贮箱偏置,能量耗散和哥氏加速度对卫星运动的影响。最后,讨论了多体系统充液挠性空间飞行器的稳定性问题。 同时,本文给出了数值计算结果和某些试验结果,并与理论分析作了对比。     

充液卫星平放式贮箱内液体晃动的等效力学模型

本文研究带平放式贮箱的三轴定向充液卫星的液体晃动及其姿态动力学问题，建立了充液系统的等效力学模型，并由该模型研究了充液卫星的姿态稳定性，得到了主刚体作平面摆动时系统的姿态稳定性判据     

空腔充液自旋卫星的稳态运动及其稳定性

导出了空腔充液刚体绕定点旋转运动的稳定性条件,即I_z>I_x+I_1。本文推广他的方法,导出了空腔充液自旋卫星的稳定性条件,即I_z>I_x+I_2。I_1及I_2是卫星参数的正定函数,且I_2相似文献   

充液自旋卫星的姿态动力学

本文研究带旋转对称中心贮箱的充液自旋卫星在定常推进力作用下的充液刚体耦合系统动力学问题，采用ＰＥＧ方法，建立了具有常微分方程形式的系统动力学方程     

卫星液体晃动气浮台仿真试验系统的运动分析

本文通过边界元数值法求解了部分充液自旋球腔内的液体晃动问题。以流体运动的基本方程和系统运动的Ｅｕｌｅｒ动力学方程为基础，考虑了贮箱偏置、涡旋、重力及Ｃｏｒｉｏｌｉｓ力等因素对流体晃动和系统运动状态的影响，求解出液体的速度场，并在此基础上估算液体的能量耗散率和系统的章动时间常数     

携带晃动燃料柔性航天器姿态机动中的同宿环分叉研究

本文研究了带液体晃动和柔性附件的耦合航天器系统在液体燃料耗散和柔性附件扭转振动的作用下,经历从最小惯量轴到最大惯量轴姿态机动中的混沌动力学行为.将液体晃动等效为球摆模型并由此建立了带柔性附件充液航天器多体耦合系统动力学模型.首先推导出耦合系统动力学方程并采用Melnikov积分预测受扰系统稳定与不稳定流形是否横截相交,得到了参数形式表达的混沌运动解析判据,这对航天器的设计有重要的指导意义.研究发现,混沌的发生依赖于刚体形状,阻尼比,充液比和扭转振动频率.此外,在经过被动再定向姿态机动后,由于液体晃动的本质非线性特性,充液航天器最终将进行大章动角的周期极限环运动而非绕着最大惯量轴自旋.     

微重力充液系统大幅晃动动力学及其在航天高技术中的应用

本文首先论述了在微重力环境下充液系统大幅晃动动力学的理论基础，其次阐明了它在充液航天器动力学与控制中的应用，最后分析了液体大幅晃动自由边界的确定以及数值稳定性等问题。     

含板类柔性附件的充液航天器动力学研究

对含有板类柔性附件和曲壁轴对称充液储腔的复杂航天器系统进行动力学建模和耦合机理研究。首先，采用Kirchhoff-Love薄板理论对航天器的板类柔性附件进行研究，通过D’Alembert原理得到柔性附件的振动方程，运用模态假设法将混合方程转换为常微分方程。其次，通过推导充液航天器储腔内任意点的运动，得到储腔液体的牵连速度势函数，采用Gauss超几何级数得到液体相对速度势函数的解析形式，通过Hamilton变分原理推导液体晃动的运动方程，以及液体速度势函数模态系数的控制方程。最后采用准坐标Lagrange方程得到耦合航天器系统的状态方程，通过数值仿真校验系统动力学模型的有效性。研究结果表明，刚性平台、液体、柔性附件的相互耦合效应使得航天器系统存在复杂动力学行为，在复杂航天器系统动力学建模过程中需要充分考虑液体晃动和柔性附件振动的影响，柔性附件的安装位置对于耦合航天器系统的动力学行为也有着重要影响。     

带液体章动阻尼器卫星的残余章动角

带液体章动阻尼器卫星的残余章动角是设计高精度自旋卫星的一项重要指标。本文讨论液体章动阻尼器引起卫星存在残余章动角的机理;对于目前应用较多的管——罐式液体章动阻尼器的两种工况分别进行研究,得到了这类章动阻尼器与卫星及阻尼器结构参数间的关系式,为设计管——罐式章动阻尼器提供了依据。     

大型充液卫星在轨模式识别

提出了大型充液卫星在轨模式识别的方法 ,通过大型充液卫星在轨飞行试验确定液体晃动阻尼 ,为控制系统设计中确定晃动阻尼提供最可靠的依据     

One method of gravitational attitude control of a rotating satellite

The mode of spinning up a low-orbit satellite in the plane of its orbit is studied. In this mode, the satellite rotates around its longitudinal axis (principal central axis of the minimum moment of inertia), which executes small oscillations with respect to the normal to the orbit plane; the angular velocity of the rotation around the longitudinal axis is several tenths of a degree per second. Gravitational and restoring aerodynamic moments were taken into account in the equations of satellite’s motion, as well as a dissipative moment from eddy currents induced in the shell of the satellite by the Earth’s magnetic field. A small parameter characterizing deviation of the satellite from a dynamically symmetric shape and nongravitational external moments are introduced into the equations. A two-dimensional integral surface of the equations of motion, describing quasistationary rotations of the satellite close to cylindrical precession of the corresponding symmetrical satellite in a gravitational field, has been studied by the method of small parameter and numerically. We propose to consider such quasistationary rotations as unperturbed motions of the satellite in the spin-up mode.     

On the stability of spinning satellites

We study the directional stability of rigid and deformable spinning satellites in terms of two attitude angles. The linearized attitude motion of a free system about an assumed uniform-spin reference solution leads to a generic MGK system when the satellite is rigid or deformable. In terms of Lyapunov’s stability theory, we investigate the stability with respect to a subset of the variables. For a rigid body, the MGK system is 6-dimensional, i.e., 3 rotational and 3 translational variables. When flexible parts are present the system can have any arbitrary dimension. The 2×2 McIntyre–Myiagi stability matrix gives sufficient conditions for the attitude stability. A further development of this method has led to the Equivalent Rigid Body method. We propose an alternative practical method to establish sufficiency conditions for directional stability by using the Frobenius–Schur reduction formula. As practical applications we discuss a spinning satellite augmented with a spring–mass system and a rigid body appended with two cables and tip masses. In practice, the attitude stability must also be investigated when the spinning satellite is subject to a constant axial thrust. The generic format becomes MGKN as the thrust is a follower force. For a perfectly aligned thrust along the spin axis, Lyapunov’s indirect method remains valid also when deformable parts are present. We illustrate this case with an apogee motor burn in the presence of slag. When the thrust is not on the spin axis or not pointing parallel to the spin axis, the uniform-spin reference motion does not exist and none of the previous methods is applicable. In this case, the linearization may be performed about the initial state. Even when the linearized system has bounded solutions, the non-linear system can be unstable in general. We illustrate this situation by an instability that actually happened in-flight during a station-keeping maneuver of ESA’s GEOS-I satellite in 1979.     

A study of evolution of spin-up mode of a satellite in the plane of its orbit

We investigate the mode of spinning up a low-orbit satellite in the plane of its orbit. In this mode the satellite rotates around its principal central axis of the minimum moment of inertia which executes small oscillations with respect to the normal to the orbit plane; the angular velocity of the rotation around this axis several times exceeds the mean orbital motion. Gravitational and restoring aerodynamic moments are taken into account in the satellite’s equations of motion. A small parameter characterizing deviation of the satellite from a dynamically symmetric shape is introduced into the equations. A two-dimensional integral surface of the equations of motion, describing quasi-steady-state rotations of the satellite close to cylindrical precession of the corresponding symmetrical satellite in a gravitational field, has been studied by the method of small parameter and numerically. Such quasi-steady-state rotations are suggested to be considered as unperturbed motions of the satellite in the spin-up mode. Investigation of the integral surface is reduced to numerical solution of a periodic boundary value problem of a certain auxiliary system of differential equations and to calculation of quasi-steady-state rotations by the two-cycle method. A possibility is demonstrated to construct quasi-steady rotations by way of minimization of a special quadratic functional.     

基于气浮台的编队飞行地面试验建模与鲁棒控制器设计

为分析验证卫星编队飞行涉及的相对导航、制导与控制以及星间通信等问题,搭建了编队飞行的地面试验系统,采用了一块3m×4.5m的气浮平台和具有两个平动自由度和一个转动自由度的卫星仿真器分别来模拟低阻力的空间环境和编队飞行的卫星,相对导航采用了视觉相机和室内GPS两种方案,星间通信则通过蓝牙进行模拟。推导了描述仿真器间相对运动的包含参数不确定性的动力学模型,并基于此模型设计了带极点配置的鲁棒H∞控制算法,通过姿态同步和构型保持等仿真实验重点对编队飞行的相对导航、星间通信和相对状态控制进行分析验证,对实际的编队任务具有一定的参考和指导意义。     

FY-2C星控制分系统设计

介绍了风云二号(FY-2)气象卫星双自旋稳定控制分系统的组成、功能和技术指标,以及卫星起旋控制、章动角与摇摆角控制、敏感器设计和消旋子系统设计等关键技术.C星在轨运行情况表明,控制分系统工作正常、性能稳定,圆满完成了起旋、主动章动控制、测定姿、姿态机动、转速调整、定点捕获和天线消旋对地定向等任务,技术指标满足任务书要求.     

星载大型空间天线的一种解耦控制方法

针对星载大型空间可展开天线与卫星平台之间的动力学耦合问题提出一种三自由度驱动与测量机构用于连接天线臂与卫星平台。该机构以驱动电机来控制天线臂转动,通过角度传感器对天线臂转角的测量来实现反馈控制,同时在卫星姿态控制系统中引入前馈控制进行反作用力矩补偿,实现卫星平台与天线之间的解耦控制、抑制天线的振动、提高卫星姿态控制系统的性能。通过姿态稳定状态下卫星-天线系统解耦动力学模型的建立、控制系统的设计、姿态控制的仿真分析,表明解耦机构能大幅增加天线振动的阻尼,有效提高卫星稳定性和天线指向精度。     

液体远地点发动机工作期间卫星的姿态控制问题

本文建立了在转移轨道远地点机动期间,包括液体晃动和太阳帆板挠性在内的三轴稳定卫星姿态动力学方程,进行了姿态控制系统的设计和仿真,分别用根轨迹方法和描述函数方法对系统的稳定性进行了分析,得出了初步结论。