改进的Euler方法应用于非线性方程求根

本文通过引入动力系统，将改进的Euler方法应用于非线性方程求根问题，给出非线性方程求根的预估-再校正迭代格式，证明了该格式至少二阶收敛并可以调节参数达到超收敛。最后给出数值实验，数值结果验证了算法的有效性。     

The building evacuation problem with shared information

In this article, the Building Evacuation Problem with Shared Information (BEPSI) is formulated as a mixed integer linear program, where the objective is to determine the set of routes along which to send evacuees (supply) from multiple locations throughout a building (sources) to the exits (sinks) such that the total time until all evacuees reach the exits is minimized. The formulation explicitly incorporates the constraints of shared information in providing online instructions to evacuees, ensuring that evacuees departing from an intermediate or source location at a mutual point in time receive common instructions. Arc travel time and capacity, as well as supply at the nodes, are permitted to vary with time and capacity is assumed to be recaptured over time. The BEPSI is shown to be NP‐hard. An exact technique based on Benders decomposition is proposed for its solution. Computational results from numerical experiments on a real‐world network representing a four‐story building are given. Results of experiments employing Benders cuts generated in solving a given problem instance as initial cuts in addressing an updated problem instance are also provided. © 2008 Wiley Periodicals, Inc. Naval Research Logistics, 2008     

考虑扩散效应圆形隧洞热弹性耦合动力响应研究

利用S-H热弹性扩散的基本理论,研究了无限弹性介质中圆形隧洞表面受随时间变化的热冲击的动力响应问题.采用直接求解方法以避免势函数的引入,利用Laplace变换技术,求解热、力、化学耦合控制方程,获得了弹性介质中温度梯度、位移、应力和化学势的积分形式解.最后,利用Laplace逆变换得到数值结果,分析了热、力、化学耦合条件下弹性介质中温度梯度、应力、位移和化学势响应的分布规律.     

Application of Markov renewal theory and semi-Markov decision processes in maintenance modeling and optimization of multi-unit systems

In this paper, a condition-based maintenance model for a multi-unit production system is proposed and analyzed using Markov renewal theory. The units of the system are subject to gradual deterioration, and the gradual deterioration process of each unit is described by a three-state continuous time homogeneous Markov chain with two working states and a failure state. The production rate of the system is influenced by the deterioration process and the demand is constant. The states of the units are observable through regular inspections and the decision to perform maintenance depends on the number of units in each state. The objective is to obtain the steady-state characteristics and the formula for the long-run average cost for the controlled system. The optimal policy is obtained using a dynamic programming algorithm. The result is validated using a semi-Markov decision process formulation and the policy iteration algorithm. Moreover, an analytical expression is obtained for the calculation of the mean time to initiate maintenance using the first passage time theory.     

内置频率对Duffing振子微弱二进制相移键控信号盲检测影响

采用Duffing振子实现对微弱二进制相移键控（Binary Phase Shift Keying, BPSK）信号的盲检测时，Duffing系统输出的周期态和混沌态转换之间存在过渡带。针对这一问题，推导出过渡带时长和Duffing系统内置频率之间的关系表达式；指出内置频率越高，过渡带时间越短；仿真实验给出时间频率响应曲线。内置频率的提高，会降低系统检测微弱信号的灵敏度。针对这一问题，推导出周期态下Duffing系统输出幅度作为因变量、内置频率作为自变量的表达式；仿真实验给出幅频响应曲线。针对微弱BPSK信号盲检测，建立变尺度方法和检测阵列相结合的基于S变换提取Duffing系统输出幅度包络的微弱BPSK信号盲检测模型，仿真实验验证了模型方法的有效性。     

基于ADAMS和Matlab的大口径舰炮发射系统动力学仿真

利用ADAMS和Matlab/Simulink两大软件的信息交互功能,将ADAMS中的全炮动力学仿真模型生成ADAMS_SUB模块,并将其嵌入联合后坐系统仿真模型中;通过ADAMS和 Matlab/Simulink同步运行对全炮进行发射动力学联合仿真,模拟大口径舰炮发射的全过程,分析全炮的动态响应.对全炮发射动力学联合仿真结果进行后处理分析,观察炮口扰动曲线,进行稳定性分析和炮口扰动分析.根据分析结果,对所建模型及仿真模块进行评价,结果表明,仿真结果与靶场试验数据基本吻合,为物理样机的研制提供了重要的理论参考依据.     

Dynamic inventory management with cash flow constraints

In this article, we consider a classic dynamic inventory control problem of a self‐financing retailer who periodically replenishes its stock from a supplier and sells it to the market. The replenishment decisions of the retailer are constrained by cash flow, which is updated periodically following purchasing and sales in each period. Excess demand in each period is lost when insufficient inventory is in stock. The retailer's objective is to maximize its expected terminal wealth at the end of the planning horizon. We characterize the optimal inventory control policy and present a simple algorithm for computing the optimal policies for each period. Conditions are identified under which the optimal control policies are identical across periods. We also present comparative statics results on the optimal control policy. © 2008 Wiley Periodicals, Inc. Naval Research Logistics 2008     

硅整流无刷发电机供电系统动态性能的研究

分析了坦克的供电系统中采用硅整流无刷发电机时的工作特点,建立了这种系统的数学模型,举例说明了计算方法,并在文章的最后进行了评价.     

低温推进剂供应管道系统充填过程的动力学模型

研究了低温推进剂液体火箭发动机供应管道系统充填过程的建模问题。低温推进剂的充填相变过程采用均相模型,对推进剂充填管道系统进行有限元分割,应用基本守恒定律于充满推进剂的单元和充满气体的单元,两相单元采用等效流容方程,建立了低温推进剂管道充填过程的有限元状态变量模型。充填的容腔视为两相单元,建立了其动力学模型。利用本文的模型,对液氢、液氧推进剂的管道充填过程进行了仿真计算,给出了有关计算结果。     

潜艇耐压壳动力学响应和声辐射研究概况与趋势

论述了流场中潜艇耐压壳自由振动、受简谐力或力矩作用和受冲击载荷情况下的动力学响应和声辐射研究概况 ,讨论了带有阻尼材料的复合潜艇耐压壳的动力学和声辐射研究情况 ,以及阻尼材料的破坏研究概况 ,并指出了今后的研究方向