兰彻斯特方程的参数取值与计算

文章分析了兰切斯特方程各个参数的影响因素,提出了参数的取值和计算方法,计算过程不需要专家给出主观数值。文中恰当的将火力分配问题转化为目标选择问题,应用ISM模型构建了目标选择结构图,给出了火力分配系数的计算方法。     

一维激波结构的数值分析

建立了一维激波结构模型,对Burnett方程进行简化得到STNM方程,通过在均匀网格上采用二阶空间差分对无量纲化后的STNM方程进行数值计算,得到了激波内部参数变化剖面。以氩气为研究对象对一维激波结构进行数值分析计算。结果表明随着马赫数增大,omage数对于激波结构的影响增大,在相同omage数条件下,马赫数变化对激波内部参数变化的影响显著。     

Approximate network loading and dual-time-scale dynamic user equilibrium

In this paper we present a dual-time-scale formulation of dynamic user equilibrium (DUE) with demand evolution. Our formulation belongs to the problem class that Pang and Stewart (2008) refer to as differential variational inequalities. It combines the within-day time scale for which route and departure time choices fluctuate in continuous time with the day-to-day time scale for which demand evolves in discrete time steps. Our formulation is consistent with the often told story that drivers adjust their travel demands at the end of every day based on their congestion experience during one or more previous days. We show that analysis of the within-day assignment model is tremendously simplified by expressing dynamic user equilibrium as a differential variational inequality. We also show there is a class of day-to-day demand growth models that allow the dual-time-scale formulation to be decomposed by time-stepping to yield a sequence of continuous time, single-day, dynamic user equilibrium problems. To solve the single-day DUE problems arising during time-stepping, it is necessary to repeatedly solve a dynamic network loading problem. We observe that the network loading phase of DUE computation generally constitutes a differential algebraic equation (DAE) system, and we show that the DAE system for network loading based on the link delay model (LDM) of Friesz et al. (1993) may be approximated by a system of ordinary differential equations (ODEs). That system of ODEs, as we demonstrate, may be efficiently solved using traditional numerical methods for such problems. To compute an actual dynamic user equilibrium, we introduce a continuous time fixed-point algorithm and prove its convergence for effective path delay operators that allow a limited type of nonmonotone path delay. We show that our DUE algorithm is compatible with network loading based on the LDM and the cell transmission model (CTM) due to Daganzo (1995). We provide a numerical example based on the much studied Sioux Falls network.     

基于改进型Boussinesq方程的二维波浪数值模型

基于改进型Boussinesq方程，在非交错网格下，建立了二维波浪数值模型。模型计算采用了有限差分法，时间格式上采用混合四阶Adams—Bashforth—Mouhon，空间格式上采用了Wei等（1995）给出的格式。数值计算中。采用了内部造渡技术。数值模拟针对3纽经典浅滩地形上波浪传播变形的实验进行，数值计算结果与实验结果吻合较好。验证了数值模型，该模型可期望用于实际港口渡浪预报。     

有限元分析中三维体元和梁元的非节点连接

在对三维体元任一点移动和转动分析的基础上,导出了体元和梁元恰当连接应满足的多点约束方程,通过直接代入梁元的单元分析进行自由度替换实现了体梁的良好连接.本文方法对体元和梁元的连接形式具有较强的适应能力,应用方便,算例表明具有较高的数值精度.     

平面假设条件下基于运动方程的飞机航迹仿真

在大地平面假设条件下，建立运动方程和仿真模型，利用MATLAB对运动方程的解算进行讨论，完成对飞机六自由度和飞机实时坐标的求解。其求解过程和结果对飞机飞行航迹的实时仿真具有较高的参考价值。     

Fundamental formulation for frictional contact with graded materials

In the paper, we develop the fundamental solutions for a graded half-plane subjected to concentrated forces acting perpendicularly and parallel to the surface. In the solutions, Young's modulus is assumed to vary in the form of E(y) = E0e(ay) and Poisson's ratio is assumed to be constant. On the basis of the fundamental solutions, the singular integral equations are formulated for the unknown traction distributions with Green's function method. From the fundamental integral equations, a series of integral equations for special cases may be deduced corresponding to practical contact situations. The validity of the fundamental solutions and the integral equations is demonstrated with the degenerate solutions and two typical numerical examples.     

临界区奥氏体化过程的研究

以铁素体+珠光体为原始组织,研究了20号钢、16Mn钢和11CuP0.5Si2.0Mn钢在临界区加热时奥氏体的形成。测定了临界加热奥氏体转变的动力学曲线,并用电子探针分析了合金元素的分配。     

基于影响图的舰载电子战系统模型

文章把影响图理论应用到舰载电子战系统模型中,通过阐述影响图建模理论,并基于舰载电子战系统的工作过程,列出影响舰载电子战系统的表征参量,根据影响图建模理论,画出舰载电子战系统的影响图模型,根据各个参量之间的耦合关系,并列出微分方程。在研究中得出无源干扰系统干扰不确定半径,有源干扰系统干扰不确定半径,在舰载电子战系统作战中起着非常重要的作用。文章丰富了舰载电子战系统模型的建立方法,具有一定的理论意义。     

Development of control models for the planning of sustainable transportation systems

Planning of sustainable transportation systems requires integration of multiple systems while considering a holistic approach. A limited amount of research has been conducted that simultaneously considers all the transportation, economic activity, environmental and social effects. The proposed research envisages incorporating considerations related to sustainability and providing solutions to stakeholders in policy making. In this paper, a dynamic model for planning and development of sustainable transportation systems is presented. This is given by a system of three nonlinear differential equations representing the dynamics of the three independent states, namely, transportation, activity, and environmental systems. A policy scenario considering investment in energy efficient technologies and its effects on the states is discussed to assist making investment decisions. Optimal control techniques are used to design the controls. The results show that it is possible to formulate an optimal control to achieve the desired target. Numerical results, based on actual parameters, are presented to illustrate the long-term trends of the states. The methodology discussed in this paper will be helpful to decision makers in making optimal decisions. The contribution of this research work is the introduction of a systems and controls methodology to develop optimal policies for the design of sustainable systems.