一类微分方程组极限环的不存在性

在系统奇点唯一的条件下,研究了一类微分方程组不存在极限环的的充分条件,运用和发展了以往的结果。     

一类生化反应动力系统的极限环

研究生化反应中一类饱和反应的数学模型dxdt =a1 -xy a2 y2dydt=a3 xy-a2 y2 - vyy b应用微分方程定性理论 ,完整地解决了该系统极限环的存在性、唯一性和不存在性等问题。     

Estimating distribution functions from partially observed samples

Suppose that some components are initially operated in a certain condition and then switched to operating in a different condition. Working hours of the components in condition 1 and condition 2 are respectively observed. Of interest is the lifetime distribution F of the component in the second condition only, i.e., the distribution without the prior exposure to the first condition. In this paper, we propose a method to transform the lifetime obtained in condition 1 to an equivalent lifetime in condition 2 and then use the transformed data to estimate F. Both parametric and nonparametric approaches each with complete and censored data are discussed. Numerical studies are presented to investigate the performance of the method. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 521–530, 2000     

A three-stage model for the perforation of finite metallic plates by long rods at high velocities

A three-stage theoretical model is presented herein to predict the perforation of a thick metallic plate struck normally by a long rod at high velocities. The model is suggested on the basis of the assumption that the perforation of a thick metallic plate by a long rod can be divided into three stages: (1) initial penetration; (2) plug formation and (3) plug slipping and separation. Various analytical equations are derived which can be employed to predict the ballistic limit, residual velocity and residual length of the long rod. It is demonstrated that the present model predictions are in good agreement with available experimental results for the perforation of finite steel targets struck normally by steel as well as tungsten alloy long rods at high velocities. It is also demonstrated that the dynamic maximum shear stress of a plate material has strong effect on plug formation and plug thickness which, in turn, exerts considerable influence on the residual velocities and lengths of a long rod at impact velocities just above the ballistic limit.     

多年冻土区管道的设计技术研究

在多年冻土地带铺设油气管道,是国际能源战略发展的必然,但由于冻土具有冻胀和融沉特性,因此,选用合适的管道设计方法保证管道安全运行一直是一大研究热点。通过对多年冻土区管道所承受载荷类型的分析,论证了采用基于应变的管道设计方法的合理性,并着重对拉伸应变极限和压缩应变极限的确定方法进行了探讨,指出在实际设计中,应该选用相对宽松的压缩应变极限值和严格的拉伸应变极限值。     

一类二阶微分方程Poincaré分岔极限环的不存在性

讨论一类二阶微分方程x¨+εf(x,x.)x.+g(x)=0的Poincar分岔极限环的不存在性,利用一阶Mel’nikov函数直接从整体上进行分析讨论,得出了若干充分条件和判别准则。     

广义Liénard方程Poincaré分岔极限环的唯一性和不存在性

讨论了一类广义Linard方程x¨+f1(x)x.2+εf2(x)x.+g(x)=0的Poincar分岔极限环的唯一性和不存在性。将不对Abel积分进行分项,而是利用一阶Mel′nikov函数直接从整体上进行分析讨论,得出了若干判别准则和充分条件。     

一类具Holling-Ⅲ类功能性反应的食物有限捕食-被捕食模型的极限环

研究一类具Holling-Ⅲ类功能性反应的食物有限捕食-被捕食模型的动力学性态。应用微分方程定性理论,证明当正平衡点不稳定时该模型存在唯一稳定的极限环。     

频域加权LQR控制器改进设计

基于线性二次型调节器(Linear Quadratic Regulator,LQR)控制方法,设计一种频域加权LQR控制器;通过对其常用滤波器进行改进,提出一种新型滤波器设计思路.当振源频率低于执行器下限响应频率,导致执行器输出减小时,通过改变滤波器参数、增大低频部分权重及控制力,可提高低于执行器响应下限频段的控制性能...