装备外壳结构周期设计及其振动特性

将声子晶体能带理论应用于装备外壳结构设计,把装备外壳圆柱壳段设计成周期结构。基于多子结构的双协调自由界面模态综合法,计算并对比了周期圆柱壳与非周期圆柱壳对弯曲振动的衰减特性。结果表明,周期圆柱壳中有弯曲振动强衰减带隙存在,而非周期结构中则没有带隙存在。进一步研究了轴向周期复合夹层材料圆柱壳的弯曲振动特性。同样,该周期复合夹层结构中依然有弯曲振动带隙存在,且在带隙频率范围内弯曲振动传播将受到明显的抑制。最后,考虑实际装备外壳形状,研究了含周期结构圆柱段的复杂装备外壳振动特性。研究表明,经过局部周期设计的复杂装备外壳保持了带隙特性,这说明了将能带理论应用于工程实际装备外壳的振动控制具有可行性。     

一种有价值的预防维修策略

当前,在系统的维修性方面,有许多概念是模糊的;许多行为是盲目的,至少是经验主义的。本文针对这些情况,提出了完整的科学维修的概念。以一个有使用价值的预防性维修策略为例,通过讨论,使这种科学维修的概念具体化,并且给出了系统的首翻期、维修周期以及更换期的严格定义和确定方法。     

北斗系统星载原子钟周期性波动的频谱分析校正方法

在建立卫星导航系统星座自主守时时间基准时,必须消除星载原子钟钟差数据中包含的周期性波动,以免将其引入系统时间。针对这一问题,基于国际卫星导航服务组织(International GNSS Service, IGS)提供的北斗系统星载原子钟钟差产品,提出了一种基于频谱分析的星载原子钟周期性波动校正方法。通过比较校正前后钟差数据的频率稳定度性能差异,确认该方法能够消除由环境因素引起的钟差数据周期性波动。北斗系统各类卫星星载原子钟的性能在校正后都得到了提升。地球同步轨道卫星星载原子钟的万秒频率稳定度提升50%左右,中轨道地球卫星星载原子钟的万秒频率稳定度提升23%左右,倾斜地球同步轨道卫星星载原子钟的万秒频率稳定度提升15%左右。经过校正,北斗二号和北斗三号系统中的星载原子钟普遍达到了地面站铯钟的频率稳定度性能,为完全基于星载原子钟的星座自主守时提供了基础。     

Zadoff-Chu序列的内插算法

脉冲压缩体制斜向短波信道探测主要利用Zadoff-Chu序列良好的周期自相关特性进行相关检测。为使Zadoff-Chu序列的频谱特性与信道探测收发信机的要求相匹配,提出一种适合Zadoff-Chu序列的FDI内插算法,以改善其频谱特性,并与一般内插算法内插后的序列频谱进行比较。仿真结果表明:采用FDI内插算法插值后序列的频谱滚降更快,且几乎没有旁瓣,能量十分集中,确认了FDI内插算法的优越性;在接收端,通过理论推导给出了一种实现采用FDI算法内插后的序列最佳抽取的方法。计算和仿真结果验证了该方法的有效性。     

Optimal inventory control policy for periodic‐review inventory systems with inventory‐level‐dependent demand

We consider a setting in which inventory plays both promotional and service roles; that is, higher inventories not only improve service levels but also stimulate demand by serving as a promotional tool (e.g., as the result of advertising effect by the enhanced product visibility). Specifically, we study the periodic‐review inventory systems in which the demand in each period is uncertain but increases with the inventory level. We investigate the multiperiod model with normal and expediting orders in each period, that is, any shortage will be met through emergency replenishment. Such a model takes the lost sales model as a special case. For the cases without and with fixed order costs, the optimal inventory replenishment policy is shown to be of the base‐stock type and of the (s,S) type, respectively. © 2012 Wiley Periodicals, Inc. Naval Research Logistics, 2012     

Using a birth‐and‐death process to estimate the steady‐state distribution of a periodic queue

If the number of customers in a queueing system as a function of time has a proper limiting steady‐state distribution, then that steady‐state distribution can be estimated from system data by fitting a general stationary birth‐and‐death (BD) process model to the data and solving for its steady‐state distribution using the familiar local‐balance steady‐state equation for BD processes, even if the actual process is not a BD process. We show that this indirect way to estimate the steady‐state distribution can be effective for periodic queues, because the fitted birth and death rates often have special structure allowing them to be estimated efficiently by fitting parametric functions with only a few parameters, for example, 2. We focus on the multiserver M_t/GI/s queue with a nonhomogeneous Poisson arrival process having a periodic time‐varying rate function. We establish properties of its steady‐state distribution and fitted BD rates. We also show that the fitted BD rates can be a useful diagnostic tool to see if an M_t/GI/s model is appropriate for a complex queueing system. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 664–685, 2015     

Optimal FCFS allocation rules for periodic‐review assemble‐to‐order systems

In Assemble‐To‐Order (ATO) systems, situations may arise in which customer demand must be backlogged due to a shortage of some components, leaving available stock of other components unused. Such unused component stock is called remnant stock. Remnant stock is a consequence of both component ordering decisions and decisions regarding allocation of components to end‐product demand. In this article, we examine periodic‐review ATO systems under linear holding and backlogging costs with a component installation stock policy and a First‐Come‐First‐Served (FCFS) allocation policy. We show that the FCFS allocation policy decouples the problem of optimal component allocation over time into deterministic period‐by‐period optimal component allocation problems. We denote the optimal allocation of components to end‐product demand as multimatching. We solve the multi‐matching problem by an iterative algorithm. In addition, an approximation scheme for the joint replenishment and allocation optimization problem with both upper and lower bounds is proposed. Numerical experiments for base‐stock component replenishment policies show that under optimal base‐stock policies and optimal allocation, remnant stock holding costs must be taken into account. Finally, joint optimization incorporating optimal FCFS component allocation is valuable because it provides a benchmark against which heuristic methods can be compared. © 2015 Wiley Periodicals, Inc. Naval Research Logistics 62: 158–169, 2015     

一类具有时滞和捕获的食物链模型的周期解

研究一类具有时滞和捕获的食物链模型,借助重合度理论中的Mawhin延拓引理,得到了保证系统至少存在8个正周期解的充分条件。     

具有脉冲和Holling IV类功能反应的三维捕食系统

建立了在固定时刻具有脉冲效应的三维捕食系统,利用常微分方程比较原理、含脉冲的比较原理及Lyapunov函数方法,得到了该系统的持续生存性、周期解的存在唯一性和全局吸引性,并给出了保持这些性质时脉冲项应满足的界限.     

周期生存的血红细胞模型的周期解

本文研究了如下周期生存的带有反馈控制的有时滞血红细胞模型dx(dtt)=-b(t)x(t)+β(t)e-x(t-τ(t))+c(t)u(t-δ(t)),dud(tt)=-η(t)u(t)+α(t)x(t-σ(t))的周期解的存在性,给出了正周期解存在的充分条件。