两类激波捕捉格式的性能分析

考虑了两类典型的激波捕捉格式:特征形式的MUSCL(Monotone Upstream-centred Schemes for Conservation Laws)格式和WENO(Weighted Essentially Non-Oscillatory)格式.MUSCL格式在作特征变换时使用了局部线性化的思想,并且针对波系的性质施加相应的限制器;通过逐维重构实现有限体积法的WENO格式.针对一维、二维和三维Euler系统进行数值实验.在一维和二维的情况下,特征形式的MUSCL格式在接触间断的捕捉上具有较明显的优势,而对于激波的捕捉则差别不大.对于三维问题则是WENO格式对流场的分辨更精细.最后对上述结果给出解释,并且提出了可能的改进方法.     

基于Δ-Υ等效变换的SGCMG高速转子轴向振动特性分析及验证

悬臂式单框架控制力矩陀螺（SGCMG）的轴向振动较为剧烈,频率成分也比较复杂;由于这种SGCMG结构是由众多串、并联,甚至桥联的弹性构件组成的,因此难以建立其精确的轴向动力学模型.首先通过Δ-Υ等效变换的方法,简化了高速转子的轴向串并联关系,进而计算出其轴向刚度;其次详细分析了系统激振源——预紧轴承各零部件的加工波纹所导致的预紧力的波动,并采用相互调幅的形式描述了该波动量;然后建立了高速转子的轴向动力学方程;最后通过数值仿真和实测结果的对比验证了分析的合理性和模型的有效性.     

Sensitivity studies of the deployment of a square inflatable solar sail with vanes

This paper summarizes the results of numerical experiments to determine the sensitivity of the final attitude of an inflatable solar sail with vanes after deployment to various parameters affecting the deployment process. These parameters are: in- and out-of-plane asymmetries during deployment, length inflation profile, and vane deployment failures. We show how robust the sail deployment is to geometric asymmetries before a 35° off-Sun angle is reached. Differential delays in the time to inflate the booms and a boom sweep-back angle affect the stability favorably. Adjacent vane failures to deploy affect the stability unfavorably, while the failure of opposing vanes is acceptable. Realistic boom length rate profiles obtained during ground tests are used in the simulation showing that failing adjacent vanes in conjunction with initial inflation delays in adjacent booms represent the worst case. We also demonstrate that by feeding back attitude and attitude rate measurements so that a corrective action is taken during the deployment, the final attitude can be maintained very close to the initial attitude, thus mitigating the attitude changes incurred during deployment.     

Height-latitude structure of stationary planetary waves in the stratosphere and lower mesosphere

Daily UK Met Office stratospheric assimilated data for the Northern and Southern Hemispheres, accumulated for the period from 2004 to 2012 and pressure range of 1000–0.1 hPa, are used in this paper. The paper presents and thoroughly discusses spatial–temporal distributions of stationary planetary wave (SPW) amplitudes and phases, calculated on the basis of geopotential height, temperature, zonal and meridional wind data for zonal wave numbers 1 and 2 (SPW1 and SPW2). The climatological planetary wave amplitudes and phases are calculated by extracting waves from three types of data: daily, monthly mean and climatological monthly mean. It has been established that magnitude of amplitudes and height-latitude distribution of amplitudes of SPW1 and SPW2 depend on data processing method for all parameters. It has also been established that height-latitude distribution amplitudes and phases significantly differ for geopotential height, temperature, zonal and meridional wind and depend on wave number and hemisphere. However, height-latitude distributions of phases are little different from each other for the used methods of data processing.     

Adaptive neural network control of nonlinear systems with unknown dynamics

In this study, an adaptive neural network control approach is proposed to achieve accurate and robust control of nonlinear systems with unknown dynamics, wherein the neural network is innovatively used to learn the inverse problem of system dynamics with guaranteed convergence. This study focuses on the following three contributions. First, the considered system is transformed into a multi-integrator system using an input–output linearization technique, and an extended state observation technique is used to identify the transformed states. Second, an iterative control learning algorithm is proposed to achieve the neural network training, and stability analysis is given to prove that the network’s predictions converge to ideal control inputs with guaranteed convergence. Third, an adaptive neural network controller is developed by combining the trained network and a proportional-integral controller, and the long-standing challenge of model-based methods for control determination of unknown dynamics is resolved. Simulation results of a virtual control mission and an aerospace altitude tracking mission are provided to substantiate the effectiveness of the proposed techniques and illustrate the adaptability and robustness of the proposed controller.     

Inverted decoupling and LMI-based controller design for a turboprop engine with actuator dynamics

The main objective of the turboprop engine control system is to ensure propeller absorbed power at a constant propeller speed by controlling fuel flow and blade angle. Since each input variable affects the selected output variables, there exist strong interactions between different control loops of a Two-Spool TurboProp Engine (TSTPE). Inverted decoupling is used to decouple the interactions and decompose the TSTPE into two independent single-input single-output systems. The multi-variable PI controller and two single-variable PI controllers are designed for the TSTPE with actuator dynamics based on Linear Matrix Inequality (LMI), respectively, which is derived from static output feedback and pole placement condition. The step responses show that due to the difference in the response times of the selected output variables, it is difficult to design an appropriate multi-variable PI controller. The designed single-variable PI controllers are tested on the TSTPE integrated model to illustrate the effectiveness of the proposed method, that is, the interactions are first decoupled and then the controllers are designed, and the resulting simulated responses show that compared with the controller designed without actuator dynamics, the gas-generator shaft speed and power turbine shaft speed can better track their respective commands under the action of the controller designed with actuator dynamics.     

低空风切变系统建模及其对直升机飞行安全威胁定性分析

系统地建立了含湍流的三维低空风切变模型，并综合分析了其对直升机飞行安全的威胁。建立了微下击暴流风场及大气湍流场组合的风切变模型，在不增加计算量的前提下，选取特征点发展直升机飞行动力学模型，有效捕捉了风切变的切变特性，提高了在风场中的动态响应计算精度。模型配备姿态保持功能的控制增稳系统已符合一般直升机的飞行状态，并改善机体响应。根据风速分布的特点，选取不同飞行速度、不同风场位置进行飞行仿真，定性地对比分析状态量变化与风场对应关系，并且以垂向通道为例，从动力学角度分析验证了响应的理论计算表达式。结果表明：湍流主要导致高频姿态角响应，风切变对飞行状态量变化占主导作用，且垂向风是引起威胁的主要因素，据此提出危险风场规避建议。     

基于三维有限元的火箭模态振型斜率预示方法研究

振型斜率火箭是姿控系统设计的重要参数,对飞行任务的可靠性与安全性有着至关重要的作用。依据全箭动特性的测量原理及参数定义,结合三维有限元建模方法和模型修正技术,全面考虑了速率陀螺、惯组安装位置处的局部刚度对振型和振型斜率的影响,建立了基于局部细节精细化建模的全箭模态振型斜率预示方法,并总结了3种不同的振型斜率提取方法,提高了振型斜率的预示精度。同时提供了三维模型振型一维化的方法,解决了使用三维有限元模型计算弹性运动方程式系数的难题。     

Attitude stability and periodic attitudes of rigid spacecrafts on the stationary orbits around asteroid 216 Kleopatra

In this work, equilibrium attitude configurations, attitude stability and periodic attitude families are investigated for rigid spacecrafts moving on stationary orbits around asteroid 216 Kleopatra. The polyhedral approach is adopted to formulate the equations of rotational motion. In this dynamical model, six equilibrium attitude configurations with non-zero Euler angles are identified for a spacecraft moving on each stationary orbit. Then the linearized equations of attitude motion at equilibrium attitudes are derived. Based on the linear system, the necessary conditions of stability of equilibrium attitudes are provided, and stability domains on the spacecraft’s characteristic plane are obtained. It is found that the stability domains are distributed in the first and third quadrants of the characteristic plane and the stability domain in the third quadrant is separated into two regions by an unstable belt. Subsequently, we present the linear solution around a stable equilibrium attitude point, indicating that there are three types of elemental periodic attitudes. By means of numerical approaches, three fundamental families of periodic solutions are determined in the full attitude model.     

VSV调节机构阻滞力和调节精度的归因分析

基于ANCF方法和摩擦力的NURBS表达算法，构建了考虑装配间隙、尺寸公差、关键件柔性、热影响以及接触摩擦等因素的复杂VSV调节机构的刚柔耦合动力学模型，并依据部件空间分布关系和参数化表述开发了VSV调节机构的快速自动化建模流程，大大提升了建模效率。分别对VSV调节机构的单级模拟气动实验及热态联调实验状态进行了对比仿真，结果表明，所构建的VSV调节机构模型在阻滞力仿真方面具有较高的可信度，且气动力引起的摩擦力矩是造成机构阻滞力、角度调节迟滞和调节精度下降的主要原因，气动力矩对机构阻滞力和角度迟滞影响不明显，关键件柔性对阻滞力影响较小，但却是调节精度降低的内在因素。