一个具有相互独立、不同分布服务时间序列的排队模型

讨论的排队模型 ,放宽了GI/G/1系统中“服务时间独立同分布”的限制 ,只要求各服务时间相互独立 ,因而较GI/G/1排队模型能更合理地拟合实际问题 .在此较宽的条件下 ,利用补充变量的方法 ,求得了该排队系统队长的瞬时分布     

氧化锆陶瓷Ⅱ-Ⅲ复合型裂纹的综合相变增韧作用

采用综合相变准则和应变能释放率判据对氧化锆陶瓷Ⅱ-Ⅲ复合型裂纹的增韧结果进行了理论计算。分别给出了静止裂纹和定常扩展裂纹相变增韧的理论表达式。结果表明:综合相变对静止裂纹有微小的负屏蔽效应,对扩展裂纹的增初结果与材料的剪切模量、相变尾区高度和相变体积分数成正比,并且增韧值随着K_Ⅲ/K_Ⅱ比值的增大而减小,表明相变对Ⅱ型裂纹的增韧效果相对Ⅲ型裂纹更显著。     

基于Solidworks二次开发的两栖车辆浮态设计及静稳性分析

建立了描述车辆姿态向量和重力向量的两个坐标系,研究了姿态向量与坐标变换之间的关系,根据Solid-Works提供的函数,利用二分法求解了给定姿态下的浮心位置;以浮心计算为基础,通过对车辆的受力分析和运动分析,确定了车辆浮态的计算方法;利用SolidWorks的API函数进行二次开发,形成了计算静稳性的程序,并进行了实例计算。结果表明：与传统的作图法相比较,该方法计算结果更精确,计算速度更快。     

状态空间表达下控制系统的稳态误差

经典控制理论对系统稳态误差的讨论从传递函数入手,重点是对系统开环传递函数的研究,当系统的输入是任意函数时,引入动态误差系数方法来研究稳态误差,但是当输入具有高阶导数时,动态误差系数将很难得到.现代控制理论中的状态空间表达下求系统的稳态误差很好地解决了这个问题.利用矩阵之间的运算来表示动态误差系数,并且可以得到任意输入下的稳态误差值,在线性定常系统下的推导结果还可以适用于线性时变系统,具有一定的普遍性.     

基于模糊干扰观测器的高超声速飞行器一体化制导控制方法

为充分利用高超声速飞行器在俯冲段的质心运动与绕质心运动之间的耦合作用和飞行过程中的不确定性,基于模糊干扰观测器提出了三维一体化制导与控制问题。首先根据飞行器的动力学方程以及飞行器-目标的视线角相对运动方程,推导出来适用于倾斜转弯控制的一体化制导控制模型。接着,针对模型中的不确定性采用模糊干扰观测器进行补偿,并使用块动态面方法设计了一种一体化制导控制律。然后,通过选取适当的李雅普诺夫函数证明了闭环系统状态的一致毕竟有界性。最后,仿真结果验证了该一体化制导控制方法的有效性和鲁棒性。     

一种变质心高速旋转炮弹鲁棒姿态控制律

针对采用变质心技术的高速旋转炮弹的姿态控制问题,提出一种基于扩张状态观测器的动态面控制方法。根据由弹体和单滑块组成的多体系统的特点,建立了系统的姿态动力学模型,并对其进行了合理的简化。将系统的滚转通道引起的强耦合、建模误差及外部扰动等视为未知不确定干扰,并且考虑由于炮弹尺寸限制而引起的多体系统控制输入(滑块位移)的有限性,设计了扩张状态观测器和辅助系统,分别对系统的干扰进行观测以及处理控制输入的有限性,综合动态面控制技术设计了姿态控制律,最后基于李雅普诺夫稳定性原理证明了控制器的稳定性。仿真结果表明,该控制器能够在克服干扰的前提下快速稳定地跟踪指令信号,具有良好的控制精度和鲁棒性。     

备件冷储备方案下装备群任务可靠性建模

针对具有相同结构功能的装备群系统可靠性评估问题,根据任务周期内对装备完好数的要求,合理表示了系统状态转移过程。以部件任务期间状态变化为研究对象,将系统等效表示为多阶段任务系统,即串行k/N(G)系统。在确定系统可行状态过程基础上,分别建立了部件寿命分布在3种不同情形下的系统任务可靠性模型,并分析了备件冷储备方案的影响。为确定系统任务期间备件携带量提供决策支持,最后给出了一个应用实例。     

Generalizing the survival signature to unrepairable homogeneous multi‐state systems

The notion of signature has been widely applied for the reliability evaluation of technical systems that consist of binary components. Multi‐state system modeling is also widely used for representing real life engineering systems whose components can have different performance levels. In this article, the concept of survival signature is generalized to a certain class of unrepairable homogeneous multi‐state systems with multi‐state components. With such a generalization, a representation for the survival function of the time spent by a system in a specific state or above is obtained. The findings of the article are illustrated for multi‐state consecutive‐k‐out‐of‐n system which perform its task at three different performance levels. The generalization of the concept of survival signature to a multi‐state system with multiple types of components is also presented. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 593–599, 2017     

The probability of the existence of a feasible flow in a stochastic transportation network

Stochastic transportation networks arise in various real world applications, for which the probability of the existence of a feasible flow is regarded as an important performance measure. Although the necessary and sufficient condition for the existence of a feasible flow represented by an exponential number of inequalities is a well‐known result in the literature, the computation of the probability of all such inequalities being satisfied jointly is a daunting challenge. The state‐of‐the‐art approach of Prékopa and Boros, Operat Res 39 (1991) 119–129 approximates this probability by giving its lower and upper bounds using a two‐part procedure. The first part eliminates all redundant inequalities and the second gives the lower and upper bounds of the probability by solving two well‐defined linear programs with the inputs obtained from the first part. Unfortunately, the first part may still leave many non‐redundant inequalities. In this case, it would be very time consuming to compute the inputs for the second part even for small‐sized networks. In this paper, we first present a model that can be used to eliminate all redundant inequalities and give the corresponding computational results for the same numerical examples used in Prékopa and Boros, Operat Res 39 (1991) 119–129. We also show how to improve the lower and upper bounds of the probability using the multitree and hypermultitree, respectively. Furthermore, we propose an exact solution approach based on the state space decomposition to compute the probability. We derive a feasible state from a state space and then decompose the space into several disjoint subspaces iteratively. The probability is equal to the sum of the probabilities in these subspaces. We use the 8‐node and 15‐node network examples in Prékopa and Boros, Operat Res 39 (1991) 119–129 and the Sioux‐Falls network with 24 nodes to show that the space decomposition algorithm can obtain the exact probability of these classical examples efficiently. © 2016 Wiley Periodicals, Inc. Naval Research Logistics 63: 479–491, 2016     

基于计算机三维建模技术的两栖车辆静水性能计算

为了解决传统静水性能计算中倾斜浮态下浮心计算困难的问题,建立了两栖车辆的三维实体模型,研究了任意浮态下浮心的计算方法。在此基础上,求解了两栖车辆在静水平衡时的浮态,并利用SolidWorks提供的API函数进行二次开发,实现了计算的自动化。经实例验证表明,该算法准确、快速。