基于非连续算子广义变分不等式强解的存在性

在算子不连续的情况下,利用FKKM定理和Weierstrass定理及标量化方法得到了广义向量变分不等式的强解存在性定理.     

某型飞机纵向平衡速度的调整

通过对影响飞机纵向平衡速度的结构特性和气动原理的分析,指出了飞机纵向平衡速度调整中存在的问题,给出了不同飞机有效调整纵向平衡速度的方法。     

剩余浮力对系留气球静平衡特性的影响分析

在进行系留气球总体方案设计时,剩余浮力的选择直接影响到系留气球气囊和副气囊体积等参数的设计,剩余浮力选择不当将造成研制成本的增加或静平衡特性指标无法实现。因此,对同一系留气球不同剩余浮力,及两种不同体积的系留气球在相同剩余浮力时的静平衡特性进行计算与对比分析。结果表明:对同一体积的系留气球,剩余浮力对系留气球俯仰角、高度损失和水平漂移量影响较大,且剩余浮力越大,其俯仰角、高度损失和水平漂移量越小;随着系留气球体积的增大,剩余浮力对系留气球高度损失和水平漂移量的影响将逐渐减小。     

Optimal network topology of relative navigation and communication for navigation sharing in fractionated spacecraft cluster

Navigation sharing as a key technology provides orbit and attitude information broadcasting for the whole fractionated spacecraft cluster (FSC). The navigation sharing concept has already been proposed for some years. However, the problem of achieving the optimal navigation sharing by designing the proper network topology is still unsolved, especially in the case that some members of the cluster have absolute navigation devices, some just have relative navigation devices and some only have communication devices. In this paper, a comprehensive model of describing the navigation sharing problem in FSC is proposed. The model of network topology constructing by relative navigation links and communication links is established. By using the graph theory and genetic algorithm as the tool, the conditions for navigation sharing in FSC with different sharing degrees are obtained. Finally, some examples are presented to test the methods, and it has been found that, the absolute positions and attitudes of all the members can still be determined even some members in FSC have no absolute navigation devices.     

Periodic relative orbits of two spacecraft subject to differential gravity and electrostatic forcing

Coulomb forces between charged close-flying satellites can be used for formation control, and constant electric potentials enable static equilibria solutions. In this work, open-loop time-varying potential functions, which produce periodic, two-craft, Coulomb formation motions are demonstrated for the first time. This is done in the rotating Hill-Frame, with linearized gravity, and craft position components assumed in the form of simple harmonic oscillators. Substitution of the oscillatory functions into the dynamics, further constrains these functions, and yields necessary potential histories, to produce the periodic flow. The assumed position functions, however, are not arbitrary, since the dynamical model restricts what oscillatory trajectories are allowed. Specifically, a Hill-Frame integral of motion is derived, and this is used to show certain candidate periodic functions to be inadmissible. The system dynamics are then linearized to expose stability properties of the solutions, and it is established that asymptotic stability is impossible for all orbit families. Finally, the degree of instability in the assumed motions, over free parameter ranges, is determined numerically via the Floquet multipliers of the associated full-cycle state-transition matrices.     

公差原则中相关要求的计算问题

关于公差原则中的相关要求的计算问题 ,本文提出了两种方法 :计算法和图解法。运用这两种方法可以简化此类问题的计算过程 ,准确求得计算结果。     

Hybrid optimization for multiple-impulse reconfiguration trajectories of satellite formation flying

A hybrid optimization method is developed for fuel-optimal reconfigurations of a group of satellites flying in formation. The genetic algorithm performs a global search to find two-impulse trajectories, and primer vector analysis finds multiple-impulsive local optimal trajectories with the two-impulse trajectories as initial guesses. Hybrid optimization finds globally optimal trajectories for formation reconfigurations, including formation resizing, reassignment and reorientation maneuvers. Multiple-impulse trajectories reduce the fuel consumption from the two-impulse trajectories by up to 4.4% for those maneuvers. In real missions, satellites can follow two-impulse trajectories to gain the advantage of a smaller number of impulses, with the cost of slightly more propellant. The qualitative characteristics of the optimal trajectories are analyzed from the number of optimal trajectories found by hybrid optimization.     

无人机空中加油自主会合制导律研究

典型的自主会合制导律主要包括基于在线估计的制导律和无需在线估计的制导律两大类,其中在线估计具有计算量大,实现复杂的缺点。提出了一种无需在线估计的制导律,在此基础上,文章进行了改善,一是借鉴导弹中的带落角约束的比例导引律,实现了一种同时满足航向和纵向自主会合要求的制导律形式,简化了制导律设计;二是引入了相对距离反馈与速度反馈进行相对距离控制,避免了速度控制指令设计的复杂化和开环控制鲁棒性差的缺点。最后,通过一个仿真例子证明了这种制导律方案原理可行,具有一定的工程应用价值。     

关于热量与质量传递的湍流模式问题

本文发展了一个新的热量与质量传递的标量—压力相关模式。讨论了局部平衡湍流的标量脉动与速度脉动相关。同时将所得理论结果和自由射流中关于温度脉动的测量数据进行了比较。     

热力学中最小熵增原理在流体力学中的应用

本文运用非平衡态热力学中最小熵增原理,分析了层流和湍流流动在接近热力学平衡定态时的特性。特别是在湍流流动中,舍弃了以往一些经验性的假设,指出流动处于局部机械平衡时可由最小熵增原理导出速度和温度分布。反之亦揭示了充分发展的湍流遵循最小熵增原理的这一机理。