关于几种特殊矩阵逆的求法

在n阶方阵求逆的方法上,研究了三类特殊矩阵逆的求法,不仅丰富了矩阵逆理论的内容,而且方便了矩阵论在运筹学、控制论以及工程领域中的应用。     

基于控制理论和NS方程的气动设计方法研究

研究了基于控制理论和NS方程的气动设计方法,针对给定的目标函数表达形式,应用该设计理论在计算坐标下详细推导了相应的共轭方程及边界条件具体表达形式,以及梯度方程求解表达式,通过合理的数学变换,导出了共轭方程在笛卡尔坐标系下的直观表达形式,发展了有效的共轭方程数值求解方法,通过流动控制方程数值求解、共轭方程数值求解、目标函数对设计变量的梯度求解和优化算法等方面的有效结合,研究与发展了一种新的气动设计方法,以二维机翼气动设计为例,成功进行了亚、跨音速情形下的相关设计算例研究,研究结果表明应用控制理论和NS方程的气动设计方法在设计理论、适用性以及时间花费等方面都有着很好的特色和优点,且设计结果也更为可靠.     

直升机飞行学员培训数学模型与需求预测

通过轻型直升机飞行人员培训的建模环境及目前中国通用航空的现状与国外通用航空的比较,提出了中国发展通用航空需求预测的数字化方法,建立了飞行人员培训的数学模型,做出了飞行人员培训的动态分析,为有计划地培养直升机飞行人员提供可靠依据。所推导出的数学模型也适用于运输机飞行员培训预测并为提高运输机飞行员培养教育开辟一个新途经。     

APPLICATION OF DIRECT BTT GUIDANCE LAW BASED ON NONLINEAR INVERSE SYSTEM THEORY TO INTEGRATED FIRE／FLIGHT SYSTEMS（IFFS）

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一种跨声速翼型设计方法及设计诸例

本文采用正反迭代、余量修正的设计思想,发展了一种能迅速达到指定目标压力分布的跨声速翼型设计方法。提出了推导各积分的解析表达式取代数值积分、加权光顺过程、直接含粘性迭代和进行矩阵状态分析等有效的改进措施,克服了现有设计方法中的主要缺陷。在设计软件中,正计算程序作为一个“插件”与反设计部分耦合,因此可以方便地与新的正计算方法组合以提高整个设计系统的先进性。对多种超临界、无激波、自然层流压力分布及低速翼型的设计实例表明,本方法只需少数几次设计迭代即可以设计出准确收敛于目标的新翼型。     

Changes in radio emission from PSR J0737–3039B

The double pulsar system, J0737–3039, provides a unique probe of a pulsar magnetosphere due to its edge-on viewing geometry, a tight orbit and a significant rate of advance of the angle of periastron. In this paper, we report on the changes in radio emission from the long period pulsar in this system, J0737–3039B, over a period of 9 months. Observations of this system with Giant Metrewave Radio Telescope (GMRT) show that the duration of the first bright phase of the pulsar centered at 210° orbital longitude from the ascending node is shrinking. These observations will be useful to constrain the proposed models for this system.     

Binary and millisecond radio pulsars

Recent pulsar surveys, especially those using the multibeam receiver on the Parkes radio telescope, have more than doubled the number of known pulsars, bringing the current total to about 1720. Of these, 171 have millisecond periods, 126 are members of binary systems and 99 are associated with globular clusters. Binary pulsars may be divided into several distinct groups depending on their observed properties such as pulsar period and age, binary period, eccentricity and companion mass. These groups all have different evolutionary histories. Correlations between the various properties are discussed using the increased samples now available. The Parkes Pulsar Timing Array is a project which has the goal of using timing observations of millisecond pulsars to make a direct detection of gravitational waves. The parameters and present status of the project are briefly discussed.     

XMM-Newton observations of faint X-ray sources in globular clusters

Using the new generation of X-ray observatories, we are now beginning to identify populations of close binaries in globular clusters, previously elusive in the optical domain because of the high stellar density. These binaries are thought to be, at least in part, responsible for delaying the inevitable core collapse of globular clusters and their identification is therefore essential in understanding the evolution of globular clusters, as well as being valuable in the study of the binaries themselves. Here, we present observations made with XMM-Newton of six globular clusters, in which we have identified neutron star low mass X-ray binaries and their descendants (millisecond pulsars), cataclysmic variables and other types of binaries. We discuss not only the characteristics of these binaries, but also their formation and evolution in globular clusters and their use in tracing the dynamical history of these clusters.     

一种叶轮机三维叶型黏性反问题方法

提出了一种应用于叶轮机三维叶片气动设计的黏性反问题方法,该方法将叶片表面边界视为是运动的壁面,通过建立并求解壁面法向动量方程,从而可根据给定的压力分布或压力面与吸力面之间的压力差分布直接求解叶型几何.结果表明:该方法可与定常雷诺平均Navier-Stokes(RANS)模拟配合进行求解,鲁棒性强、计算耗时短,且符合真实黏性流动环境,无需对叶型进行黏性修正.算例验证结果显示,该方法在单排和多排叶片环境下都能获得反问题解,计算稳定性和收敛性良好.      

卫星姿态变结构控制病态时的一种控制方法

为解决用反馈线性化方法实现卫星姿态滑模变结构控制(VSC)中病态时确定逆矩阵方法的参数导致的控制精度与控制能量间的矛盾,提出将广义逆矩阵用于求解控制律,并给出了广义逆矩阵的求解方法。计算和比较结果显示,该法不仅控制精度高,而且能大幅节约控制能量。