Planning gamma accelerated degradation tests with two accelerating variables

Gamma accelerated degradation tests (ADT) are widely used to assess timely lifetime information of highly reliable products with degradation paths that follow a gamma process. In the existing literature, there is interest in addressing the problem of deciding how to conduct an efficient, ADT that includes determinations of higher stress‐testing levels and their corresponding sample‐size allocations. The existing results mainly focused on the case of a single accelerating variable. However, this may not be practical when the quality characteristics of the product have slow degradation rates. To overcome this difficulty, we propose an analytical approach to address this decision‐making problem using the case of two accelerating variables. Specifically, based on the criterion of minimizing the asymptotic variance of the estimated q quantile of lifetime distribution of the product, we analytically show that the optimal stress levels and sample‐size allocations can be simultaneously obtained via a general equivalence theorem. In addition, we use a practical example to illustrate the proposed procedure.     

舰船腐蚀电场建模及补偿最优解验证

基于等效偶极子法,从补偿偶极子长度、角度、大小三方面给出了任意角度的补偿偶极子场解析式,再利用电荷矢量叠加原理,建立了"腐蚀偶极子+补偿偶极子"电场模型。仿真以单轴桨船为例,先验证"腐蚀偶极子+补偿偶极子"电场模型的正确性,再进行补偿偶极子对舰船电场的影响验证,从而得出补偿最优解。模拟实验结果表明,补偿阳极在工程允许条件下距离补偿系统接船端最远处,且补偿系统平行于水平面和船体时补偿效果最优;在补偿最优条件下,理论上是可以抵消原舰船腐蚀电场的。     

基于非线性最优反馈控制的远程拦截闭环制导

利用非线性最优反馈控制和伪谱轨迹快速重构技术,设计了一种有限推力空间远程拦截自适应闭环制导方法。首先建立了有限推力远程拦截最优制导问题模型,并给出了适用于该问题的非线性最优反馈控制求解原理。然后,将空间变轨动力学模型特点和伪谱法相结合,设计了基于状态量缩减的计算效率改进策略以提高轨迹优化的实时性。基于改进伪谱法进行连续轨迹快速重构,利用开环最优解形成闭环反馈,从而保证制导指令的实时更新,并通过引入控制逻辑对制导算法进行改进。时间最短远程拦截仿真表明,该闭环制导方法在保证任务指标最优性的同时,可以有效抑制J2摄动和计算误差的影响,具有较高的制导精度、自适应性和鲁棒性。     

Strain concentration caused by the closed end contributes to cartridge case failure at the bottom

Ruptures at the bottom of cartridges are a common cause of failure of ammunitions, which directly threatens the safety of weapons and shooters. Based on plastic tube theory, this study analyses the radial and axial deformation of a cartridge, considering the radial constraint of the closed end at the bottom of the cartridge. Owing to the influence of the closed end, the bottom of a cartridge does not establish complete contact with the chamber. Owing to strain concentration in the non-contact area, this area is more amenable to the occurrence of cartridge rupture. This theory predicts the location of the fracture more accurately than the traditional theory. The maximum axial deformation of a cartridge comprises bending and friction deformation. The maximum strain at the bottom of the cartridge increased by 135% owing to the introduction of bending strain caused by the closed end. The strain distribution of a cartridge was measured using digital image correlation technology, and the measured result was consistent with the predicted results of the bending deformation theory and rupture case. The effects of wall thickness, radial clearance, friction coefficient, and axial clearance on the axial deformation of the cylinder were studied. Increasing the wall thickness and reducing radial clearance were found to reduce bending deformation; furthermore, lubrication and reduction in axial clearance reduce frictional deformation, which in turn reduce cartridge rupture.     

牛顿环实验参数的优化处理

通过分析牛顿环实验的系统误差,给出了用牛顿环测量曲率半径实验时条纹级数的取值范围.     

防空导弹弹道跟踪制导规律研究

根据李亚普诺夫稳定性原理,利用基准优化弹道参数构造滑动面,提出了一种新的弹道跟踪制导规律。对跟踪制导规律的数学原理进行了描述,给出了详细的推导过程和二维平面弹道仿真数学模型及仿真结果。结果表明所提出的弹道跟踪制导规律能使导弹快速跟踪基准优化弹道。     

基于激光推进的光船发射任务设计与参数优化分析

针对发射初始质量为100kg的光船到近地圆轨道的任务,研究了激光平均功率、激光大气传输特性、光船激光接收面面积、发动机比冲、发动机能量转化效率等参数之间的相互关系及光船飞行任务的优化问题。针对激光发射光船的具体要求,由功率估算公式计算出激光平均功率,从激光作用范围估算出光船的激光接收面的最小面积;基于光船飞行动力学模型,结合估算的参数,应用序列二次规划方法优化计算出光船飞行的最优弹道。计算结果表明,光船入轨质量可达到35.5kg,最优比冲为8140m/s。     

Revenue maximization in two-station tandem queueing systems

We study optimal pricing for tandem queueing systems with finite buffers. The service provider dynamically quotes prices to incoming price sensitive customers to maximize the long-run average revenue. We present a Markov decision process model for the optimization problem. For systems with two stations, general-sized buffers, and two or more prices, we describe the structure of the optimal dynamic pricing policy and develop tailored policy iteration algorithms to find an optimal pricing policy. For systems with two stations but no intermediate buffer, we characterize conditions under which quoting either a high or a low price to all customers is optimal and provide an easy-to-implement algorithm to solve the problem. Numerical experiments are conducted to compare the developed algorithms with the regular policy iteration algorithm. The work also discusses possible extensions of the obtained results to both three-station systems and two-station systems with price and congestion sensitive customers using numerical analysis.     

战役野战油库油料输送力量优化分配研究

如何科学、合理分配战役野战油库油料输送力量是战时油料保障必须面临的一个实际问题。首先根据战役野战油库运油车分配模型得到一个运油车初始分配方案,然后运用计算机模拟技术对分配方案进行模拟,并根据模拟结果不断调整,直至得到优化的分配方案,为制定战役野战油库油料输送计划提供决策依据。     

航天器交会中的多圈Lambert问题研究

针对大椭圆轨道追踪器固定时间直接碰撞交会问题,介绍了一种快速确定多圈Lambert问题最优解的新方法。研究了多圈Lambert转移解,分析了转移时间与转移轨道参数的关系;研究了无时间约束最优直接碰撞交会及其必要条件。仿真表明:最优解快速确定方法有效、可行,并可提高计算效率。