Orbit-attitude-vibration coupled dynamics of tethered solar power satellite

A new orbit-attitude-vibration coupled dynamic model of the tethered solar power satellite (Tethered SPS) is established based on absolute nodal coordinate formulation. The Hamilton’s equation of the system is derived by introducing generalized momentum through Legendre transformation. The correctness of the proposed model is verified by an example. The dynamic characteristics of the Tethered SPS are studied using the symplectic Runge-Kutta method. Simulation results show that the orbital radius and the total energy of the system are well preserved. The attitude of the system is unstable when the mass of the bus system is small. However, the attitude stability is dependent on some other parameters of the system, which requires further studies. It is also found that the average tether force/deformation can be roughly estimated by simplifying the solar panel as a particle. The proposed model can be used to study the orbit-attitude-vibration coupled dynamics and control problems.     

考虑喷注流强分布的纵向稳定性建模与分析

喷注器流强分布是除声学阻尼装置以外使液体火箭发动机稳定工作的重要措施，通过控制喷注流强分布使推进剂的燃烧尽量远离主要振型的波腹区，减少热声耦合振荡的能量源，从而达到抑制高频振荡的效果。因此，建立喷注流强分布与稳定性之间的综合分析模型，研究流强分布的不稳定性抑制特性具有重要实际意义。针对采用自击式喷嘴器、液滴蒸发作为燃烧速率控制过程的某自燃推进剂缩尺燃烧室高频纵向燃烧不稳定问题，近似采用蒸发速率峰值区代替集中燃烧释热区，引入燃烧室三维声学控制方程以考虑多喷嘴条件下燃烧响应空间分布，建立了针对喷注器流强分布条件下的高频纵向燃烧稳定性分析模型，并对喷注流强的稳定性抑制特性进行了分析，给出了不同分布流强下燃烧室一阶纵向信号的增长率变化规律。研究表明，喷注流强分布有利于燃烧室稳定，"驼峰区"喷注孔径的增大对改善高频纵向不稳定性更为显著，"驼峰区"流强增加30%，相应的增长率降低15%。     

基于模块服役状态的盒式连接可重构型架稳定性评估方法

盒式连接可重构型架的稳定性对飞机部件的装配质量有着重要影响。为了解决当前稳定性评估方法在实施成本及有效性上的不足，从型架模块化特征出发提出基于模块服役状态的盒式连接可重构型架稳定性评估方法。首先，分析了盒式连接可重构型架服役过程，指出该过程是由作业期与空置期交替组合而成，并给出了服役稳定性及服役稳定度定义；然后，构建了基于型架关键测量特性的服役状态评价模型，实现了盒式连接可重构型架服役状态退化过程的描述及利用实测数据的空置期服役状态评估；同时，针对作业期内难以甚至无法获取测量数据的问题，提出基于多源稳定性影响因素分析并利用稳定性熵来表征服役状态退化程度的策略；最终融合空置期与作业期的评估结果构建了型架稳定性综合评价模型，相比传统的定检方法能够更简捷、有效地完成某一时间段内型架服役稳定性评估。最后，以某型垂尾盒式连接可重构装配型架后梁定位器模块为实验对象，验证了所提出方法的有效性。     

谐振式加速度计自激振荡电路性能评价方法的研究

针对谐振式加速度计成品率不高、精度低等问题，以石英振梁加速度计为例，采用引进标准信号，将谐振电路作为“黑盒子”，对其开展独立的评价。通过评价电路的驱动电压幅值稳定性、移相稳定性、全温幅值/相位对称性等指标，与加速度计实际指标建立了一一对应的关系，为加速度计研制与性能提升提供了有效依据。实际运用表明，电路噪声性能、温度性能大幅提升，产品成品率从70%提高到了约90%。     

轴向间距对转子叶片颤振特性的影响机理

使用自行开发的非定常流固耦合数值模拟程序，研究了上游叶排影响转子叶片颤振特性的机理，采用影响系数法分析轴向间距影响转子气动弹性稳定性的规律。结果表明：在协调叶栅中，叶片吸力面相邻的叶片振动对转子叶片气动阻尼的大小起决定性作用，其影响甚至超过振动叶片本身的影响；多排环境中，导叶（IGV）对转子叶片气动阻尼最小值的影响最大，并使其对应的节径增大；相邻叶片振动引起的通道变化抑制了导叶对非定常压力波的反射作用；随着轴向间距的减小，导叶对非定常压力波的反射作用减弱了非定常压力波的周向衰减，从而增大了叶片振动的非定常影响范围；在多排环境中使用影响系数法需要测量更多的叶片才能得到较为准确的气动阻尼。     

A multi-order method for predicting stability of a multi-delay milling system considering helix angle and run-out effects

In this paper, a multi-delay milling system considering helix angle and run-out effects is firstly established. An exponential cutting force model is used to model the interaction between a work-piece and a cutting tool, and a new approach is presented for accurately calibrating exponential cutting force coefficients and cutter run-out parameters. Furthermore, based on an implicit multi-step Adams formula and an improved precise time-integration algorithm, a novel stability prediction method is proposed to predict the stability of the system. The involved time delay term and periodic coefficient term are integrated as a comprehensive state term in the integral response which is approximated by the Adams formula. Then, a Floquet transition matrix with an arbitrary-order form is constructed by using a series of matrix multiplication, and the stability of the system is determined by the Floquet theory. Compared to classical semi-discretization methods and full-discretization methods, the developed method shows a good performance in convergence, efficiency, accuracy, and multi-order complexity. A series of cutting tests is further carried out to validate the practicability and effectiveness of the proposed method. The results show that the calibration process needs a time of less than 5 min, and the stability prediction method is effective.     

Orbital stability close to asteroid 624 Hektor using the polyhedral model

We investigate the orbital stability close to the unique L4-point Jupiter binary Trojan asteroid 624 Hektor. The gravitational potential of 624 Hektor is calculated using the polyhedron model with observational data of 2038 faces and 1021 vertexes. Previous studies have presented three different density values for 624 Hektor. The equilibrium points in the gravitational potential of 624 Hektor with different density values have been studied in detail. There are five equilibrium points in the gravitational potential of 624 Hektor no matter the density value. The positions, Jacobian, eigenvalues, topological cases, stability, as well as the Hessian matrix of the equilibrium points are investigated. For the three different density values the number, topological cases, and the stability of the equilibrium points with different density values are the same. However, the positions of the equilibrium points vary with the density value of the asteroid 624 Hektor. The outer equilibrium points move away from the asteroid’s mass center when the density increases, and the inner equilibrium point moves close to the asteroid’s mass center when the density increases. There exist unstable periodic orbits near the surface of 624 Hektor. We calculated an orbit near the primary’s equatorial plane of this binary Trojan asteroid; the results indicate that the orbit remains stable after 28.8375?d.     

Kink mode m = 1 in magnetic tube with discontinuous magnetic field

In this paper, we study conditions of realization and stability of kink modes with azimuthal wave numbers $m=\pm 1$ in cylindrical plasma flex with twisted magnetic field and homogeneous current along its axis. We assume permanent axial magnetic field both inside and outside the flex, surrounded by currentless plasma. Azimuthal magnetic field decreases inversely proportional to the distance from the boundary beyond the flex. We derived dispersion equations for stable and unstable modes in approximation of “thin” plasma flex. The analysis of equations has been provided for the case of discontinuous axial magnetic field on flex’s boundary. Conditions of propagation of wave modes have been defined. It was shown, that unstable modes can be implemented in certain interval of longitudinal wavenumbers. Results can be applied for the interpretation of solar magnetic tubes behavior, using measurements, provided by spacecrafts.     

在平板不同位置开孔的剪切稳定性分析及应力集中影响

为满足管线通过、减重、维修等需求,通常需要在结构上开孔。基于Patran和Nastran软件,针对剪切载荷下的四边简支开孔矩形平板,对其在不同开孔位置下的稳定性及口边应力集中情况进行仿真分析,并整理仿真分析结果,得到不同开孔位置对矩形平板剪切稳定性和口边应力集中的影响,供结构开孔设计使用。