关于细鞍点与细焦点的一般变换

各种变换在平面多项式系统的定性研究中是非常重要的。通过对鞍点量和焦点量计算时常用的变换进行研究,得到了两类把细鞍点化为细焦点的一般变换,并利用其中的一类推导出了不含二次项的三次系统的鞍点量和可积条件。     

复自治微分系统(E)的奇点量计算公式

文献[1]对(E)引入奇点量和 Lie 不变量概念,实现了实自治微分系统焦点量和鞍点量概念的统一,并得到奇点量的结构定理。文献[1]还对三次系统(E_3)找到了全部120个基本 Lie 不变量并具体计算了二次系统(E_2)和缺二次项的三次系统(E_3~((3)))的奇点量。文献[2]还计算了一类特殊三次系统(4)的奇点量。但是,对于计算(E_3)的奇点量的工作,仍有很大困难,甚至前几个奇点量也得不到,况且对(E)找到全部基本Lie 不变量亦非常困难。本文利用规范形理论讨论(E)的奇点量的计算问题,得到了计算公式。该公式对一些特殊系统可直接得到前几个奇点量。作为公式的应用及验证,我们给出(E_3)的前两个奇点量,至于 M(3)=?的问题将另文讨论。     

关于鞍点定理及其推论

本文指出了鞍点定理的推论的数学结果是不正确的,并进而讨论了鞍点的存在条件。     

基于凸优化理论的三维微分对策制导规律求解

针对三维微分对策制导律(DGL)求解问题,引入凸优化理论,将DGL求解归结到Hamilton系统的求解,设计了DGL求解算法,通过对代价函数梯度特征的凸分析,推导出对策系统鞍点存在的充要条件和求解方法,解决了以往通过对微分对策模型简化求解导致的模型不能客观反映作战过程的问题.     

识别结构主要失效模式的一种改进方法

识别结构的主要失效模式是计算结构系统可靠度的第一步。提出“3σ准则法”来识别结构系统主要失效模式,首先运用增量栽荷法中的元件承力比确定最严重元和次严重元,并找出第一批主要失效模式,然后用3σ准则寻找其余的主要失效模式。此方法不易漏掉主要失效模式,且计算量小。     

Gauss法在具有柱铰链连接的单开链机械臂系统动力学问题的应用

重点讨论了如何用Ｇａｕｓｓ法求解机械臂系统动力学问题．首先引入Ｇａｕｓｓ拘束量,然后建立单开链机械臂系统动力学模型,并给出了求解方法．     

梯格形自适应控制

本文讨论并解决了具有d步时延的多变量系统的梯格形自适应控制问题。为此,把自适应控制下的闭环系统嵌入到ARMA模型中,采用梯格算法进行预报。为了考虑d步时延控制系统,采用简捷方法推导了d步梯格预报公式,并给出了控制量的确定方法。采用梯格形自适应控制可方便地调节模型的阶次,从而可以克服对象阶次不准引起的自适应控制失效的问题。     

惯性平台自标定陀螺仪误差系数可观测度分析

针对惯性平台自标定陀螺仪误差系数的可观测度问题,从可观性定义角度出发,提出一种可观测度分析方法。利用状态量解析解表达式中观测量导数的最高阶数定义该状态量的可观测度。在此基础上,研究惯性平台自标定系统可观性与陀螺仪误差系数可观测度,分析系统可观测的状态量及其可观测度,得出陀螺仪本轴一次项误差系数可观测度最差的结论。仿真结果验证了该方法的正确性和有效性,为惯性平台自标定中施矩方案的设计提供了理论依据。     

装甲车辆电源系统整流装置故障诊断方法

针对装甲车辆电源系统整流装置内部二极管的开路和短路故障,提出一种基于快速傅立叶变换(FFT)和Elman神经网络的诊断方法。在主电路结构基础上,通过增加外围测试电路的硬件设计方案,获取两路测试信号;对测试信号进行FFT运算,提取基波频率1次～6次谐波分量所占直流分量百分比为故障特征量,借助Elman神经网络的模式识别功能,实现整流装置故障诊断及模式分类。结合装甲车辆电源系统数学模型,基于仿真结果,构建了整流诊断装置诊断模型,开发了整流装置故障诊断系统,应用结果验证了该方法的有效性。     

导弹最优突防机动方式研究

将导弹的突防-拦截问题简化到某一平面上,基于此问题的非线性模型,确定了以突防导弹侧向机动为输入,拦截导弹脱靶量为输出的非线性状态方程.针对所研究问题的最优控制类型,构造了系统的Hamilton函数,并通过极大值原理,研究了在平面内导弹机动能力一定的情况下最优规避机动方式.对于简化后的系统线性模型,以机动方式的基波分量为输入,用伴随系统分析方法,通过拦截导弹脱靶量的稳态解,计算了最优的机动频率.     

Dynamic modeling and parameter identification of a gun saddle ring

In this study, a theoretical nonlinear dynamic model was established for a saddle ring based on a dynamic force analysis of the launching process and the structure according to contact-impact theory. The ADAMS software was used to build a parameterized dynamic model of the saddle ring. A parameter identification method for the ring was proposed based on the particle swarm optimization algorithm. A loading test was designed and performed several times at different elevation angles. The response histories of the saddle ring with different loads were then obtained. The parameters of the saddle ring dynamic model were identified from statistics generated at a 50° elevation angle to verify the feasibility and accuracy of the proposed method. The actual loading history of the ring at a 70° elevation angle was taken as the model input. The response histories of the ring under these working conditions were obtained through a simulation. The simulation results agreed with the actual response. Thus, the effectiveness and applicability of the proposed dynamic model were verified, and it provides an effective method for modeling saddle rings.     

A German High Tournament Saddle in the Royal Armouries,Leeds

The Royal Armouries of Leeds preserves a rare example of an early fifteenth-century German tournament high saddle that is also one of the earliest complete western medieval saddles preserved. It bears witness to an extreme form of tournament which stood very far from the real practice of war: the Hohenzeuggestech. Impact marks of lances and swords, visible on the saddle, reveal the violence of the blows exchanged during these meetings, a violence often hard to observe in the contemporary but conventional representations of jousters and tourneyers. Thus, by the means of its excellent state of preservation, the Leeds high saddle sheds some light on the jousts and tourneys on high saddles, once so popular and plentiful in what remains of the civilian iconography of the late fourteenth- and the fifteenth-century Germanic world.     

Finding saddle points on polyhedra: Solving certain continuous minimax problems

This article reviews procedures for computing saddle points of certain continuous concave-convex functions defined on polyhedra and investigates how certain parameters and payoff functions influence equilibrium solutions. The discussion centers on two widely studied applications: missile defense and market-share attraction games. In both settings, each player allocates a limited resource, called effort, among a finite number of alternatives. Equilibrium solutions to these two-person games are particularly easy to compute under a proportional effectiveness hypothesis, either in closed form or in a finite number of steps. One of the more interesting qualitative properties we establish is the identification of conditions under which the maximizing player can ignore the values of the alternatives in determining allocation decisions. © 1996 John Wiley & Sons, Inc.     

超凸度量空间中KKM理论的一些应用

在超凸度量空间利用广义度量KKM映象原理的特性得到一类新的广义极大极小不等式,并进一步借助这类极大极小不等式,在更广泛的条件下,获得鞍点问题的一个新的存在性结果。     

A saddle-point theorem for a class of infinite games

In this paper, the existence of a saddle point for two-person zero-sum infinite games of a special type is proved. The games have continuous bilinear payoff functions and strategy sets which are convex, noncompact subsets of an infinite-dimensional vector space. The closures of the strategy sets are, however, compact. The payoff functions satisfy conditions which allow the use of dominance arguments to show that points in the closure of a strategy set are dominated by or are strategically equivalent to points in the strategy set itself. Combining the dominance arguments with a well-known existence theorem produces the main result of the paper. The class of games treated is an extension of a class studied by J. D. Matheson, who obtained explicit solutions for the saddle points by using necessary conditions.     

关于大型线性规划问题鞍点算法的讨论

关于大型线性规划问题鞍点算法的讨论尚毅,张国光,成孟金（沈阳化工学院１１００２１）ＡＤｉｓｃｕｓｓｉｏｎｏｆｔｈｅＳａｄｄｌｅＰｏｉｎｔＡｌｇｏｒｉｔｈｍｆｏｒＬａｒｇｅＳｃａｌｅＬＰＰｒｏｂｌｅｍｓ￥ＳｈａｎｇＹｉ;ＺｈａｎｇＧｕｏｇｕａｎｇ;Ｃｈ...     

The matrix game derived from the many-against-many battle

The many-against-many battle, which is a variant of the Friedman's one-against-many battle, is formulated as a two-person constant-sum game. It is shown that the matrix which expresses this game has a saddle point. Some cases are presented in which the payoff matrix of the game can be reduced. Finally, some parametrically special cases are analyzed.     

球齿轮传动的齿面接触分析和应力分析

球齿轮是一种新型的二维齿轮传动机构.在建立了球齿轮数学模型的基础上,得到了球齿轮传动的啮合模型,并进行了齿面接触特性分析,通过解非线性方程组,可得到接触点在齿面的位置.分析了球齿轮齿面的结构特征,针对球齿轮传动的接触形式表现为轮齿凸面与马鞍面之间的点接触,对啮合齿面的接触椭圆进行了分析计算,总结出了球齿轮在任一偏摆平面内啮合传动时接触椭圆的变化规律:在轮齿根部和顶部啮合时,接触椭圆较小,因而接触应力较大;而在轮齿中部啮合时,接触椭圆较大,所以接触应力较小.采用有限元的方法对球齿轮轮齿进行了弯曲应力和接触应力分析,分析结果进一步验证了接触椭圆变化规律的正确性.以上结论对进一步研究球齿轮的传动理论与实际应用具有重要的指导意义.