一类无穷次多项式系统极限环研究

利用平面自治系统的极限环理论和分支理论研究了一类无穷次多项式系统,并讨论了该系统极限环的存在性和唯一性。应用所得结论,推广并改进了前人的结果。     

光纤激光水听器的PGC实时全数字解调系统

概述了基于麦克尔逊干涉仪的光纤激光水听器的相位载波零差法(PGC)调制解调原理,通过数学推导及仿真,分析了调制信号和混频信号的频差是导致全数字化解调结果错误的主要因素之一。针对该诱导因素提供了可行的解决方案,并实现了基于DSP的1 MHz采样频率下使用PGC方法的全数字实时解调系统。对低频水声波段800Hz水声信号进行解调,实验结果表明:解调信号波形良好。     

Optimal joint preventive maintenance and production policies

We study joint preventive maintenance (PM) and production policies for an unreliable production‐inventory system in which maintenance/repair times are non‐negligible and stochastic. A joint policy decides (a) whether or not to perform PM and (b) if PM is not performed, then how much to produce. We consider a discrete‐time system, formulating the problem as a Markov decision process (MDP) model. The focus of the work is on the structural properties of optimal joint policies, given the system state comprised of the system's age and the inventory level. Although our analysis indicates that the structure of optimal joint policies is very complex in general, we are able to characterize several properties regarding PM and production, including optimal production/maintenance actions under backlogging and high inventory levels, and conditions under which the PM portion of the joint policy has a control‐limit structure. In further special cases, such as when PM set‐up costs are negligible compared to PM times, we are able to establish some additional structural properties. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.     

旋成体跨音速脉动压力环境分析与预测

脉动压力是进行结构响应分析和力学环境研究的重要依据。利用平均流场的数值模拟方法与基于实验的工程预测模型相结合的技术途径,对跨音速下旋成体的表面脉动压力环境进行了分析与预测,给出了旋成体在不同攻角、不同马赫数条件下表面脉动压力系数分布以及脉动压力功率谱分布曲线,并且与实验结果作了比较分析,得出结论基本一致。     

一类化学反应动力系统的定性分析

研究一类描述多分子化学反应的数学模型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、不存在性和唯一性问题。     

高温燃气与不同构型的再生冷却面板对流传热的数值模拟

对高温燃气与带有平行冷却通道的再生冷却面板之间的三维耦合传热开展了数值研究,其中冷却通道内冷却剂为超临界压力煤油,并结合理论分析探讨了冷却面板构型对耦合传热的影响。结果表明:随燃气侧壁厚以及冷却通道宽度和高度的增大,燃气侧壁面温度升高,热流密度降低。研究还发现:冷却通道不同壁面传递给煤油的热量占比几乎不随燃气侧壁厚变化,但随冷却通道宽度和高度的改变而变化。     

Research on the influences of confining pressure and strain rate on NEPE propellant: Experimental assessment and constitutive model

In order to study the influences of confining pressure and strain rate on the mechanical properties of the Nitrate Ester Plasticized Polyether (NEPE) propellant, uniaxial tensile tests were conducted using the self-made confining pressure system and material testing machine. The stress-strain responses of the NEPE propellant under different confining pressure conditions and strain rates were obtained and analyzed. The results show that confining pressure and strain rate have a remarkably influence on the mechanical responses of the NEPE propellant. As confining pressure increases (from 0 to 5.4 MPa), the maximum tensile stress and ultimate strain increase gradually. With the coupled effects of confining pressure and strain rate, the value of the maximum tensile stress and ultimate strain at 5.4 MPa and 0.0667 s⁻¹ is 2.03 times and 2.19 times of their values under 0 MPa and 0.00333 s⁻¹, respectively. Afterwards, the influence mechanism of confining pressure on the NEPE propellant was analyzed. Finally, based on the viscoelastic theory and continuous damage theory, a nonlinear constitutive model considering confining pressure and strain rate was developed. The damage was considered to be rate-dependent and pressure-dependent. The constitutive model was validated by comparing experimental data with predictions of the constitutive model. The whole maximum stress errors of the model predictions are lower than 4% and the corresponding strain errors are lower than 7%. The results show that confining pressure can suppress the damage initiation and evolution of the NEPE propellant and the nonlinear constitutive model can describe the mechanical responses of the NEPE propellant under various confining pressure conditions and strain rates. This research can lay a theoretical foundation for analyzing the structural integrity of propellant grain accurately under working pressure loading.     

Research and development on hypervelocity impact protection using Whipple shield: An overview

Whipple shield, a dual-wall system, as well as its improved structures, is widely applied to defend the hypervelocity impact of space debris (projectile). This paper reviews the studies about the mechanism and process of protection against hypervelocity impacts using Whipple shield. Ground-based experiment and numerical simulation for hypervelocity impact and protection are introduced briefly. Three steps of the Whipple shield protection are discussed in order, including the interaction between the projectile and bumper, the movement and diffusion of the debris cloud, and the interaction between the debris cloud and rear plate. Potential improvements of the protection performance focusing on these three steps are presented. Representative works in the last decade are mentioned specifically. Some prospects and suggestions for future studies are put forward.     

二维抛板极限速度的相似性与古尼公式的采用

本文分析影响被炸药驱动下抛板极限速度的重要因素,讨论了一些经验公式的适用范围;提出了根据二维抛板的数值计算得到的两个重要规律:①在炸药与抛板的质量比相同的情况下,抛板的极限速度之间具有一定的相似关系;②修正的古尼公式可用来计算二维抛板的极限速度。     

Van der Pol-Duffing系统的非共振Hopf分叉

用多尺度法求出了系统的一次近似平均方程和极坐标形成的分叉响应方程。研究了系统非共振情况下的平衡点性质和Hopf分叉,讨论了零解和极限环的稳定性