满足一等量块检定要求的接触式激光量块干涉仪

最新研制的接触式激光量块干涉仪主要用于测量一、二等量块的中心长度，其长度测量不确定度达到（0.02 0.2L)μm。文中介绍了其工作原理、测量不确定度分析，给出了量块测量的验证数据。     

矢阵及其在目标状态测量建模中的应用

本文通过对引入矢阵反对称叉积算子概念，得出了矢阵叉积算子同一般矢量列阵叉积算子之间的关系恒等式，揭示了两者之间的对称关系，由此关系非常方便地得到了矢阵运动学关系及其它一些常用关系，并把坐标变换阵对时间的导数推广到一般的情况，一个对目标雷达被动定位状态测量建模的实例表明了其实际应用意义。     

工业计量中的基本问题述评

提出并讨论了工业计量中的几个基本问题；分析了其特点及解决方向；结合现状和可持续发展，讨论了工业计量的目的、体系、范围、问题等几个方面的内容及对策；提出了工业计量可持续发展的一种解决方案。     

正定几何规划及对偶问题的推导

给出了正定几何规划及对偶问题的有关定量证明，指出了原文献中凸数证明错误的地方，并补充了正确的证明。     

碳纳米管接触电阻的研究进展

与金属之间过高的接触电阻是影响碳纳米管在微纳电子器件中应用的关键因素之一,本文从形成机理和改善方法两个方面综述了近年来碳纳米管接触电阻的研究进展。介绍了利用第一性原理对碳纳米管与金属界面电子输运性能的理论研究,以及金属功函数对界面势垒调试作用的实验研究。研究表明金属与碳纳米管之间具有较弱的杂化作用和较长的接触长度时,接触电阻较小;金属与碳纳米管功函数越接近,势垒高度越低。阐述了超声焊接技术、高温退火法、金属沉积法、局部焦耳热法等常用降低碳纳米管接触电阻方法的作用机理,并分析了这些方法对器件性能的改善作用。其中局部焦耳热法操作简单、易于自动化、对器件损害小、成本低,是目前比较理想的降低碳纳米管接触电阻的方法。     

考虑离心力与热应力非连续界面的微动磨损

航空发动机、重型燃气轮机等旋转机械的组合转子轮盘间多采用非连续界面连接,通过建立两轮盘的环形平面接触有限元模型,并进行冷态预紧、升速工况下的结构分析及稳态温度场下的热-结构耦合分析。研究了环形接触界面的接触应力、切应力、磨损深度等微动参量的演变规律。结果表明:预紧力单独作用下接触应力从内径到外径逐渐减小,内径处接触应力和切应力最大,磨损最严重;随转速升高,离心力增大,接触界面的最大接触应力增大,最小接触应力减小,造成接触应力分布不均匀程度及磨损加剧;稳态温度场导致盘间接触应力均值大幅度上升,严重加剧轮盘间磨损;从盘间接触应力分布均匀性与界面微动磨损情况来说,热载荷是造成组合转子非连续界面微动磨损的主要因素。     

Resonant quasi-periodic near-rectilinear Halo orbits in the Elliptic-Circular Earth-Moon-Sun Problem

Motivated by the near-future re-exploration of the cislunar space, this paper investigates dynamical substitutes of the Earth-Moon’s resonant Near-Rectilinear Halo Orbits (NRHOs) under the Elliptic-Circular Restricted Four-Body Problem formulation of the Earth-Moon-Sun system. This model considers that the Earth and Moon move in elliptical orbits about each other and that a third body, the Sun, moves in a circular orbit about the Earth-Moon barycenter. By making use of this higher-fidelity dynamical model, we are able to incorporate the Sun’s influence and the Moon’s eccentricity, two of the most significant perturbations of the cislunar environment. As a result of these perturbations, resonant periodic NRHOs of the Earth-Moon Circular Restricted Three-Body Problem (CR3BP) are hereby replaced by two-dimensional quasi-periodic tori that better represent the dynamical evolution of satellites near the vicinity of the Moon. We present the steps and algorithms needed to compute these dynamical structures in the Elliptic-Circular model and subsequently assess their utility for spacecraft missions. We focus on the planned orbit for the NASA-led Lunar Gateway mission, a 9:2 synodic resonant L₂ southern NRHO, as well as on the 4:1 synodic and 4:1 sidereal resonances, due to the proximity to the nominal orbit and their advantageous dynamical properties. We verify that the dynamical equivalents of these orbits preserve key dynamical attributes such as eclipse avoidance and near-linear stability. Furthermore, we find that the higher dimensionality of quasi-periodic solutions offers interesting alternatives to mission designers in terms of phasing maneuvers and low-altitude scientific observations.     

Symmetry,reduction and relative equilibria of a rigid body in the J2 problem

The J₂ problem is an important problem in celestial mechanics, orbital dynamics and orbital design of spacecraft, as non-spherical mass distribution of the celestial body is taken into account. In this paper, the J₂ problem is generalized to the motion of a rigid body in a J₂ gravitational field. The relative equilibria are studied by using geometric mechanics. A Poisson reduction process is carried out by means of the symmetry. Non-canonical Hamiltonian structure and equations of motion of the reduced system are obtained. The basic geometrical properties of the relative equilibria are given through some analyses on the equilibrium conditions. Then we restrict to the zeroth and second-order approximations of the gravitational potential. Under these approximations, the existence and detailed properties of the relative equilibria are investigated. The orbit–rotation coupling of the rigid body is discussed. It is found that under the second-order approximation, there exists a classical type of relative equilibria except when the rigid body is near the surface of the central body and the central body is very elongated. Another non-classical type of relative equilibria can exist when the central body is elongated enough and has a low average density. The non-classical type of relative equilibria in our paper is distinct from the non-Lagrangian relative equilibria in the spherically-simplified Full Two Body Problem, which cannot exist under the second-order approximation. Our results also extend the previous results on the classical type of relative equilibria in the spherically-simplified Full Two Body Problem by taking into account the oblateness of the primary body. The results on relative equilibria are useful for studies on the motion of many natural satellites, whose motion are close to the relative equilibria.     

Construction of an airfoil with an irregularity in the flow

Using the method of quasisolutions for inverse boundary-value problems of aerohydrodynamics, a problem of constructing an airfoil was solved by the specified velocity distribution along the sought airfoil contour when there is an irregularity in the flow such as a vorticity source. The cases of a source (sink) and vortex are obtained as particular ones. The airfoils are constructed numerically and analytically and conclusions are made about an influence of the irregularity position and type on the shape and aerodynamic characteristics of the airfoil.     

广义均衡问题和不动点问题的收敛性定理及应用

运用平行算法，提出一种寻求广义均衡问题解及有限个严格伪压缩映像不动点集的公共元的新的迭代格式．在Hilbert空间中．证明了该算法的强收敛性。