Mechanism of error propagation from the subdaily Universal Time model into the celestial pole offsets estimated by VLBI

Within the analysis of space geodetic observations, errors of the applied subdaily Earth rotation model can induce systematic effects in different estimated parameters. In this paper, we focus on the impact of the subdaily Universal Time (UT1) model on the celestial pole offsets (CPO) estimated from very long baseline interferometry (VLBI) observations. We provide a mechanism that describes the error propagation from the subdaily UT1 into the daily CPO.In typical 24-h VLBI sessions the observed quasars are well distributed over the sky. But the observations, if looked at from the Earth-fixed frame, are not homogeneously distributed. The amount of observations performed in different terrestrial directions shows an irregularity which can be roughly compared to the case where the observations are collected in only one Earth-fixed direction. This peculiarity leads to artefacts in VLBI solutions, producing a correlation between the subdaily variations in UT1 and the position of the celestial pole. As a result errors in diurnal terms of the subdaily UT1 model are partly compensated by the estimated CPO. We compute for each 24-h VLBI session from 1990 until 2011 the theoretical response of the CPO to an error in the subdaily UT1 by setting up a least-squares adjustment model and using as input the coordinates of the observed quasars and observation epochs. Then real observed response of the estimated CPO derived from the VLBI session solutions is compared to the predicted one. A very good agreement between the CPO values estimated from VLBI and the predicted values was achieved. The presented model of error propagation from the subdaily UT1 into the daily CPO allows to predict and explain the behaviour of CPO estimates of VLBI solutions computed with different subdaily Earth rotation models, what can be helpful for testing the accuracy of different subdaily tidal models.     

Modeling visuospatial reasoning

I apply my proposed modification of Soar/Spatial/Visual System and Kosslyn’s (1983) computational operations on images to problems within a 2 × 2 taxonomy that classifies research according to whether the coding involves static or dynamic relations within an object or between objects (Newcombe & Shipley, 2015). I then repeat this analysis for problems that are included in mathematics and science curricula. Because many of these problems involve reasoning from diagrams Hegarty’s (2011) framework for reasoning from visual-spatial displays provides additional support for organizing this topic. Two more relevant frameworks specify reasoning at different levels of abstraction (Reed, 2016) and with different combinations of actions and objects (Reed, 2018). The article concludes with suggestions for future directions.     

无刷双馈电机静止坐标系数学模型的研究

由于没有电刷和滑环,提高了运行的可靠性,降低了维护成本,因此无刷双馈电机(BDFM)在变速恒频发电领域有着广阔的应用前景。由于特殊的结构和工作原理,BDFM数学模型十分复杂。从BDFM多回路空间矢量数学模型出发,推导出了两个静止坐标系之间的坐标变换关系以及功率绕组静止坐标系数学模型和控制绕组静止坐标系数学模型,推导过程简洁明了。所得结果为BDFM理论分析和不同控制策略的研究提供了理论基础。MATLAB/Simulink环境下的仿真结果验证了数学模型及坐标变换关系的正确性。     

三维自适应终端滑模协同制导律

针对多枚导弹协同作战的问题,且多枚导弹之间保持有向拓扑通信的条件下,基于终端滑模法设计了视线方向及视线法向的双层协同制导律。其中,视线方向的制导指令能够保证导弹同时完成拦截任务;视线法向上的三维制导律能够保证每枚导弹以期望的视线角攻击目标,从而发挥各枚导弹的最大杀伤力,并且视线角的约束相当于规划了末制导段导弹的弹道问题,在一定程度上避免攻击目标前导弹间发生碰撞。同时,针对所设计的滑模制导律设计了新的自适应律,从而加快了滑模面的收敛速度并且削弱了由符号函数引起的系统抖振现象。基于李雅普诺夫稳定性理论,证明了所设计制导律的正确性,并在最后给出了数学仿真实验,验证了所设计制导律的有效性及优越性。     

基于OpenFOAM的真实流体模型库及均相求解器开发

为了正确认识高压环境下的流体非理想性特征,及其对于低温射流喷雾过程的影响作用,将多种不同真实流体模型写入到开源CFD程序OpenFOAM仿真平台中,编译形成具有广泛通用性的真实流体热物理模型库;并将高压下真实流体特征的影响引入到压力修正算法中;开发出适用于描述超临界环境下低温流体流动过程的均相求解器。对高压下流体热物理性质的非理想性,以及超临界环境下的低温液氮射流喷注过程进行研究。结果表明:高压下的真实流体效应主要体现在低温区域,本文所建立的模型库可以在任意热力学状态范围内正确预测流体热物性;基于此模型库所开发的均相求解器可正确预测超临界环境下低温射流的详细流动特征和结构,而理想气体模型则会大幅低估射流核心区密度分布,中心线上误差高达68.9%;综合考虑计算精度和效率,PR EoS及相关模型更适合于这类超临界流动问题的求解;低温射流跨临界喷注中局部区域所发生的虚假沸腾现象会导致射流温升速率降低、体积膨胀速率加快;射流核心区压缩因子明显1,在数值仿真时必须考虑高压环境下的真实流体效应。     

基于Matlab Simulink的弹道仿真方法

弹道仿真软件有助于飞航导弹武器飞行试验结果的分析与评定。为此,设计了基于Matlab Simulink的弹道仿真计算方法,建立了六自由度空间弹道数学模型,利用导弹相关的气动数据和控制参数测试了算法,实现了软件,仿真结果证明了该模型的准确性和可信度。     

Behavior and functional modeling methods of doubly salient electromagnetic generators for aircraft electrical power system applications

The Doubly Salient Electromagnetic Generator(DSEG) is a promising candidate in aircraft generator application due to the simplicity, robustness and reliability. However, the field windings and the armature windings are strongly coupled, which makes the inductance characteristics non-linear and too complex to model. The complex model with low precision also leads to difficulties in modeling and analysis of the entire aircraft Electrical Power System(EPS). A behavior level modeling method based on modified inductance Support Vector Machine(SVM) is proposed. The Finite Element Analysis(FEA) inductance data are modified based on the experiment results to improve the precision. A functional level modeling method based on input–output characteristics SVM is also proposed. The two modeling methods are applied to a 9 kW DSEG prototype. The steady state and transient process precision of the proposed methods are proved by comparing with the experiment results. Meanwhile, the modeling time consumption, the application time consumption and the calculation resource demand are compared. The DSEG behavior and functional modeling methods provide precious results with high efficiency, which accelerates theoretical analysis and expands the application foreground of the DSEG in the aircraft EPS.     

移15°双十二相隐极同步整流发电机数学模型的研究

分别在abc坐标系和dq0坐标系下建立了移15°双十二相隐极同步整流发电机的基本数学方程,推导了电机电压、磁链、输出功率、电磁转矩和转子运动方程。在MATLAB/Simulink中建立了移15°双十二相隐极同步整流发电机的仿真模型。对两路输出进行了不平衡负载仿真和试验。仿真与试验结果相比基本一致,验证了移15°双十二相隐极同步整流发电机数学模型的正确性。这为双十二相同步整流发电机运行性能和励磁控制系统的研究奠定了基础。     

浅析航材承修商多维度管理

在深航近年来使用的承修商管理模式的基础上,通过实践不断修正,新增可视化质量评估平台,使深航的承修商管理形成一个完整的闭环监控,本文对这一可视化质量评估模型进行了详细介绍,以期为业内航材承修商管理工作提供参考。     

数学建模在应用型人才培养中的作用分析

数学建模可以提升学生综合素质，培养其创新及实践能力，因此，提高高校大学生的数学建模能力，对于培养应用型人才具有十分重要的意义。针对数学建模在应用型人才培养中的作用进行了分析，并提出了若干建议，以提升高校大学生的数学建模能力。