非线性动力学理论及其在机械系统中应用的若干进展

非线性动力学的理论及其工程应用是非线性科学研究的前沿和热点，应用非线性动力学的理论揭示事物动态过程现象的本质和机理，进行自主性原始创新，具有十分重大的理论和应用价值，在科学与工程中具有广阔的应用前景。综述非线性动力学基础理论方面的近期研究成果及其在机械系统中应用的研究进展。理论研究方面主要涉及揭示非线性动力系统周期分岔解与系统结构参数之间关系的C—L方法、高余维分岔的普适分类、高余维非对称分岔的普适开折、约束分岔的分类、计算非线性自治系统正规形的直接方法、计算非线性非自治系统正规形的复内积平均法以及高维非线性系统的降维方法等。应用方面主要涉及大型旋转机械非线性转子系统的失稳机理、分岔解与混沌运动、故障诊断及其综合治理技术；冲击振动机械的稳定性、Hopf分岔、亚谐分岔、余维二分岔和混沌运动；大型共振筛的非线性振动及其动力学设计方法等。     

The dynamics and control of the CubeSail mission: A solar sailing demonstration

The CubeSail mission is a low-cost demonstration of the UltraSail solar sailing concept (, ,  and ), using two near-identical CubeSat satellites to deploy a 260 m-long, 20 m² reflecting film. The two satellites are launched as a unit, detumbled, and separated, with the film unwinding symmetrically from motorized reels. The conformity to the CubeSat specification allows for reduction in launch costs as a secondary payload and utilization of the University of Illinois-developed spacecraft bus. The CubeSail demonstration is the first in a series of increasingly-complex missions aimed at validating several spacecraft subsystems, including attitude determination and control, the separation release unit, reel-based film deployment, as well as the dynamical behavior of the sail and on-orbit solar propulsion. The presented work describes dynamical behavior and control methods used during three main phases of the mission. The three phases include initial detumbling and stabilization using magnetic torque actuators, gravity-gradient-based deployment of the film, and steady-state film deformations in low Earth orbit in the presence of external forces of solar radiation pressure, aerodynamic drag, and gravity-gradient.     

广义经典力学系统动力学方程积分的Jacobi最终乘子法

研究动力学系统的积分问题,将Jacobi最终乘子法应用于积分广义经典力学系统的动力学方程。建立了广义经典力学系统的运动微分方程;定义了广义经典力学系统的Jacobi最终乘子;研究了系统的第一积分与Jacobi最终乘子的关系。研究表明:对于位形由n个广义坐标确定且拉格朗日函数含有广义坐标对时间的ω阶导数的广义经典力学系统,如果已知系统的(2ωn-1)个第一积分,则可利用Jacobi最终乘子给出系统的解。文末举例说明结果的应用。     

时变磨损间隙对机构可靠性的动态影响

为克服磨损速率恒定和磨损影响因素随机性假设带来的不足,并准确预测机构磨损可靠性的动态变化过程,利用等效弹簧阻尼接触碰撞力模型和磨损过程离散化方法,建立了关节间隙的时变磨损方程;引入PHI2方法、定义上穿率,将时变磨损方程转变成时变可靠性方程,从而提出了含时变间隙多体系统动力学和PHI2方法相结合的磨损可靠性分析方法。以某星载天线双轴定位机构为例,研究了产品可靠性及参数概率灵敏度的动态变化规律,分析了磨损各参数对产品可靠性的影响。结果表明,在稳定磨损阶段结束以前,接触碰撞力是主导因素,其对可靠性的敏感度是其他因素的10倍以上,此后,间隙将超过接触碰撞力,成为新的主导因素;且间隙存在临界情况,在此之前,间隙的适当增大有利于产品可靠性的提高。相比于现有研究强调磨损随机性、忽略磨损过程的非线性变化和间隙时变对可靠性的影响,所提方法能准确预示磨损及可靠性的动态变化过程。     

卫星定位系统与飞行力学

概述了卫星定位系统的发展和应用，重点论述了它与飞行力学的关系，在ＧＰＳ卫星星座布置，地面站测控和用户应用中，飞行力学及其相关学科作为应用基础起到了重要的作用，成为卫星定位这门新兴交叉学科的一部分，最后提出了作为ＧＰＳ高级应用专题的飞行力学若干研究课题。     

Recent ozone investigations over Bulgaria by remote sensing: Ground-based and satellite data

This presentation deals with the recent investigations of the dynamics of the total ozone content (TOC) and of the lower troposphere ozone over Bulgaria, South-Eastern Europe.     

跨音速运输机机身后体对航向静稳定性影响研究

采用课题组开发的CFD数值计算软件分别研究了跨音速上单翼布局运输飞机机身后体对航向静稳定导数的影响。研究过程中选择了两种后体构型型面：圆型面和立椭圆型面．分别对其气动力特性进行了计算分析。结果表明：圆型面后体的机身提供的航向静不稳定导数比立椭圆型面后体的机身提供的航向静不稳定导数大17．5％。     

J7L 飞机小速度机动试飞初探

在飞行试验的基础上，依据实际飞行中的机载测试记录和飞行体会，分别介绍了Ｊ７Ｌ飞机在作超临界盘旋、跃升回转、尾冲和小速度斤斗四个高难度小速度机动动作时，各自的进入条件、驾驶技术要领、动作特点和需要注意的问题。可供从事过失速飞行试验、战术机动研究的技术人员和飞行人员参考。     

Hysteresis Provides Self-Organization in a Plasma Model

The magnetosphere is a multi-scale spatio-temporal complex dynamical system. Self-organization is a possible solution to the seemingly contradicting observation of the repeatable and coherent substorm phenomena with underlying complex behavior in the plasma sheet. Self-organization, through spatio-temporal chaos, emerges naturally in a plasma physics model with sporadic dissipation.     

Airfoil Aeroelastic Flutter Analysis Based on Modified Leishman-Beddoes Model at Low Mach Number

Based on modified Leishman-Beddoes (L-B) state space model at low Mach number (lower than 0.3), the airfoil aeroelastic system is presented in this paper. The main modifications for L-B model include a new dynamic stall criterion and revisions of normal force and pitching moment coefficient. The bifurcation diagrams, the limit cycle oscillation (LCO) phase plane plots and the time domain response figures are applied to investigating the stall flutter bifurcation behavior of airfoil aeroelastic systems with symmetry or asymmetry. It is shown that the symmetric periodical oscillation happens after subcritical bifurcation caused by dynamic stall, and the asymmetric periodical oscillation, which is caused by the interaction of dynamic stall and static divergence, only happens in the airfoil aeroelastic system with asymmetry. Validations of the modified L-B model and the airfoil aeroelastic system are presented with the experimental airload data of NACA0012 and OA207 and experimental stall flutter data of NACA0012 respectively. Results demonstrate that the airfoil aeroelastic system presented in this paper is effective and accurate, which can be applied to the investigation of airfoil stall flutter at low Mach number.