Resonance transitions associated to weak capture in the restricted three-body problem

An interesting dynamics is studied in the restricted three-body problem where a particle abruptly transitions between resonance states, called a resonance hop. It occurs in a region about the secondary mass point which supports weak capture. This region, called a weak stability boundary, was recently proven to give rise to chaotic dynamics. Although it was numerically known that the resonance hop was associated with this boundary, this process was not well understood. In addition, the dynamical structure of the weak stability boundary has not been well understood. In this paper, we give a way to reveal the global structure of the weak stability boundary associated to resonance motions. This structure is shown to be surprisingly rich in resonant periodic motions interconnected by invariant manifolds. In this case, nearly all the motions are approximately resonant in nature where resonance hops can occur. The correlation dimension of orbits undergoing resonant motions, associated to the weak stability boundary, is also examined. The dynamics analyzed in the present paper is related to that studied by J. Marsden et al. under the perspective of Lyapunov orbits and the associated invariant manifolds. Applications are discussed.     

Dynamic Analysis of Contact Bounce of Aerospace Relay Based on Finite Difference Method

Contact bounce of relay, which is the main cause of electric abrasion and material erosion, is inevitable. By using the mode expansion form, the dynamic behavior of two different reed systems for aerospace relays is analyzed. The dynamic model uses Euler-Bernoulli beam theory for cantilever beam, in which the driving force (or driving moment) of the electromagnetic system is taken into account, and the contact force between moving contact and stationary contact is simulated by the Kelvin-Voigt viscoelastic contact model. Analytical results have been complemented by the finite difference calculation of the nonlinear partial differential equations of reed system. The calculation results indicate that with the driving force (or driving moment) being increased, the closing time of contact is decreased, but the maximum bouncing displacement and bouncing time tend to be decreased first and then increased, which means that there are minimum values of maximum bouncing displacement and bouncing time. The closing time of contact, the maximum bouncing displacement, and bouncing time all tend to be decreasing with the pushrod being approaching the contact. The model can be used as design tool to improve relay performance and reduce contact bounce.     

Effects of Contact Resistance on Heat Transfer Behaviors of Fibrous Insulation

In this article, a numerical model combining conduction and radiation is developed based on two flux approximation to predict the heat transfer behavior of fibrous insulation used in thermal protection systems. Monte Carlo method is utilized to determine the modified radiative properties with experimentally measured transient external temperature as high as 1 000 K. It is found that the estimated radiative properties become time-independent after about t = 3 000 s. By comparing the predicted to the measured results in transient state, the contact resistance exerts significant influences upon the temperature distribution in the specimen. Results show that the averaged absolute deviation is 3.25% when contact resistance is neglected in heat transfer model, while 1.82% with no contact resistance.     

含三维接触问题的机翼下壁板翼肋对接孔结构断裂特性研究

飞机对接孔结构的损伤是飞机和许多工程结构中存在的一种典型损伤形式,它严重影响着结构的完整性和使用安全。因此,研究对接孔结构的断裂特性,具有重要的工程意义和实用价值。主要通过创建三维接触来考虑螺栓与螺栓孔间、垫片与下壁板内壁间的接触问题,应用有限元素法,建立合理的计算模型,计算翼肋对接孔结构在多种开裂模式下的应力强度因子,通过大量的计算分析,总结了机翼翼肋对接孔结构的断裂特性规律。计算结果和结论可作为该类结构损伤容限设计的参考依据。     

保障国家粮食安全和促进中部农业发展的思路与建议

中部是我国粮食安全体系中重要一环,也是“三农”问题最集中和最突出的地区。协调保障国家粮食安全和促进中部工业化、城市化发展之间的关系,是促进城乡协调发展和解决“三农”问题的重要环节,也是促进中部崛起的关键。当前我国中部农业发展中存在着农业比重大,工业化、城市化发展滞后,农业产业“弱质”化,乡村债务沉重,农技推广和农村服务体系薄弱等一系列问题。解决的基本思路是：以投入换产出、以产出换土地、以工业化和城市化带动农业及农村发展。     

基于准流形方法日地系L3点转移轨道设计

针对深空探测中轨道转移时间长且能量消耗较大的问题,提出基于准流形实现从地球停泊轨道到日地系L3点转移轨道的设计方法。在日地限制性三体问题模型下,在L1点或L2点Halo轨道上施加扰动推力,构造准流形,利用其非线性三体动力学特性,通过霍曼转移轨道与近地轨道进行拼接,使航天器进入准流形后能够无动力滑行到L3点附近区域。在准流形与L3点周期轨道交点,施加速度脉冲,使航天器进入相应周期轨道,从而完成轨道转移。仿真结果表明,利用该方法所得结果与基于不变流形的转移轨道相比,能将速度增量从4398m/s减少为4014m/s,并将转移时间从9年以上缩短到7.3年以内,有效地提高了航天器的工作效率。     

基于特征模型的失效航天器消旋控制

失效航天器一般有复杂的运动和较大的角速度,采用机械臂直接抓捕目标容易导致非预期碰撞,如果先采用接触式消旋操作降低目标角速度,会大大降低服务卫星抓捕目标的难度。针对空间翻滚非合作目标的接触式消旋控制存在接触动力学模型不确定性的问题,提出了一种基于特征模型的自适应控制方法。首先通过接触式消旋的物理机理分析,建立消旋系统动力学模型;进一步在动力学特性分析基础上构建描述接触碰撞后目标角速度的特征模型,并确定模型参数范围;然后基于该模型设计黄金分割自适应控制律。仿真结果表明,该方法有效克服了消旋过程中接触碰撞模型存在的不确定性,并且消旋速度快且消旋后的残余角速度小。     

电动伺服舵系统动力学建模及颤振分析

舵机动力学对舵系统颤振有最直接影响,其动力学模型的准确建立是颤振分析的关键。以某电动伺服舵系统为对象,分别建立了电机、减速器及控制回路模型。基于其地面振动试验（GVT）数据特征,考虑了减速器中零部件间隙及滚珠丝杠间接触刚度2类非线性因素。动力学仿真结果复现了试验现象,证明了接触刚度和间隙对该伺服舵系统动力学特征的主导作用。在颤振分析中,对比了接触刚度和常数刚度2种假设下,舵机在不同阶跃角指令下的舵偏角响应。发现常数刚度下舵系统仅存在极限环（LCO）和失稳2个域,临界速度不会随间隙大小而变化;而接触刚度下存在稳定、LCO和失稳3个域,且相同风速下,其临界指令角较常数刚度假设更高,但其临界速度却会随间隙增大而减小,甚至小于常数刚度假设,应引起足够重视。      

压气机S形转接段半反问题设计方法研究

研究了压气机部件间S形转接段的气动设计方法,提出了一种控制转接段壁面静压梯度等参数的半反问题设计,并发展了相应设计程序.采用所述方法,对某轴流-离心压气机转接段进行了设计验证.结果表明:通过调整反问题设计参数,可以自由控制内壁面的静压分布及壁面几何,又通过对外壁面几何进行数值匹配,能够很好地实现所设计的内壁面上的静压分布,验证了本方法可行.在未寻求最优内壁面静压梯度分布的情况下,进口高度长度比达0.138,轮毂半径差长度比达0.485的轴对称转接段的总压恢复系数可达0.98以上.      

椭圆三体问题中的时间周期不变流形

借助有限时间Lyapunov指数（FTLE）定义拉格朗日拟序结构（LCS）,并以单摆系统为例阐述LCS与动力系统中不变流形之间的联系.利用LCS研究椭圆限制性三体问题（ER3BP）中的时间周期不变流形的性质.采用数值方法验证得到了两点结论：时间周期不变流形的内部是穿越轨道集,外部是非穿越轨道集;时间周期不变流形是轨道的不变集.