Thermomechanical Simulation of the Electron Beam Melting Process for TiAl6V4

In the present contribution a nonlinear thermomechanical finite element model with temperature dependent material parameters is used to simulate the electron beam melting process for TiAl6V4. The beam is modeled as a moving heat source and the isentropic split solution scheme is applied. The temperature and stress distribution during the process were simulated and showed sound results from a qualitative point of view. (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

电子束聚焦系统模型的周期性

行波管电子束聚焦理论在物理、生物、电子等科学领域中的应用非常广泛.为了控制电子束的运动轨迹，使其有效地聚焦目标，利用重合度理论中的延拓定理对电子束聚焦系统数学模型的周期解的存在性进行了研究，得到了该模型在一定条件下存在周期正解的结论.同时分析了模型系数取值范围的可行性，对行波管的设计具有一定的指导意义.     

目标散布区对导弹目标选择概率影响的仿真模型

当反舰导弹飞近目标散布区时,导弹搜索雷达必须开机搜索目标,导弹根据目标反射信号的几何或能量特性,利用某一算法从被探测到的,包括敌方施放的假目标在内的所有目标中选择某一目标作为导弹的攻击目标.目标散布区的外形和大小对导弹选择真实目标概率的影响是一个尚未得到深入研究的问题.推导了目标散布区对导弹正确选择目标概率的影响函数;在考虑了目标舰及时提供假目标的仿真模型的基础上,给出了七种导引头选择目标的算法及仿真模型.仿真结果表明,目标散布区影响反舰导弹雷达的开机时间,从而影响导引头选择真实目标的概率及其抗电子干扰能力.     

Mathematical Properties of the Multivariate t Distribution

The known mathematical properties of the multivariate t distribution are reviewed. We believe that this review will serve as an important reference and encourage further research activities in the area.     

Mathematical Analysis and Numerical Simulation of a Nonlinear Thermoelastic System

Abstract

In this paper, we give a theoretical and numerical analysis of a model for small vertical vibrations of an elastic membrane coupled with a heat equation and subject to linear mixed boundary conditions. We establish the existence, uniqueness, and a uniform decay rate for global solutions to this nonlinear non-local thermoelastic coupled system with linear boundary conditions. Furthermore, we introduced a numerical method based on finite element discretization in a spatial variable and finite difference scheme in time which results in a nonlinear system to be solved by Newton’s method. Numerical experiments for one-dimensional and two-dimensional cases are presented in order to estimate the rate of convergence of the numerical solution that confirm our analysis and show the efficiency of the method.     

一个追逐问题的数学模型和matlab仿真

就两人绕正三角形的追逐问题建立起了两个数学模型:一个充分应用运动的周期性首先给出了两人共边的充要条件,然后直接给出在一个周期内两人共边的次数及起止时刻;另一个则利用初等数论的方法给出了两人共边的另一个充要条件.利用matlab长于计算和强大的绘图功能,分别给出了求解两个模型的matlab程序,通过动画仿真演示两个绕正三角形的追逐模型,并给出了二者同边的时间起止点和同边的次数.     

机动目标的跟踪与反跟踪的建模研究

以机动目标的跟踪与反跟踪为研究对象,分析了目标的状态方程和量测方程,当存在多个目标时,仍需考虑不同目标之间数据关联问题.首先,考虑了雷达1、雷达2和3量测数据的连接和融合问题,建立了机动目标的状态方程和量测方程模型,运用卡尔曼滤波器算法对目标航迹进行了在线追踪,得到目标跟踪航迹.其次,进行一次指数平滑法的时间序列预测和实时灰色预测,得到了其目标的着落轨迹、着落点坐标和时间.最后建立新的动态多目标优化模型,运用计算机仿真对跟踪与反跟踪的目标航迹进行了模拟.     

Application of Mathematical Programming to a Large-scale Agricultural Production and Distribution System

This paper addresses an actual production planning problem for a large seed corn production company. Various scenarios are included in different mathematical programming models in order to help the management make production decisions. A linear programming package and a mixed-integer programming package are combined by a designed heuristic program to solve the problem. The solutions obtained and an accompanying sensitivity analysis provide the management with insight into the system's operation and potentials of cost savings.     

多因素影响下毁伤目标时间的分布与特征

文章研究搜索型随机格斗中，在射弹飞行时间、携弹数量有限因素影响下如何导出毁伤目标时间的分布与特征的问题，推导出在这些因素共同影响下，毁伤时间密度函数与特征函数的表达式。     

需多发命中时毁伤时间的分布与特征

本研究带有搜索系统并且毁伤目标需要多发命中的格斗模型,并利用更新方程导出了毁伤目标所需时间的分布密度与特征函数。最后,章用实例说明了计算过程。     

光子结构的猜想及其数学仿真

通过研究光的波粒二象性,对光子结构进行了研究并提出了自建光子模型.自建光子模型具有以下特性:①光子与原子核存在引力作用;②光子的电场与磁场交替变换使其具备了相位效应,且光强由光子数与光子相位和两个因素决定.在此基础上,通过借鉴天体物理中关于二体运动的三种轨迹,利用其中结论对大量原子核的引力作用进行概率分析,使用中心极限定理提出出射角度基本符合高斯分布的假设.接着对光子的相位叠加效应进行了分析.最后,对大量光子进行模拟仿真,并将仿真结果与单缝衍射、双缝干涉、多缝干涉现象等实验现象进行了对比.     

Heating of polymer surfaces during the vacuum deposition of metals

Conclusions 1. The heating of polymer surfaces associated with vacuum metal deposition is determined by the deposition rate and the deposition time and also by the thermo-physical characteristics of the substrate—growing film system, and at high deposition rates may reach the phase-transition temperatures of the polymers.2. At deposition rates up to 5 Å/sec the rise in surface temperature can be calculated by solving the usual heat-conduction equation, and at higher rates by solving the nonstationary heat-conduction equation, which makes it possible to take into account the heat transfer characteristics of the substrate— growing film system.3. The temperature of the polymer condensation surface can be regulated by varying the initial substrate temperature and, moreover, by using the pulsed metal vaporization process.Institute of Mechanics of Metal—Polymer Systems, Academy of Sciences of the Belorussian SSR, Gomel'. Translated from Mekhanika Polimerov, No. 1, pp. 50–55, January–February, 1977.     

Mathematical Modeling and Simulation of a Flexible Shaft-Flexible Link System With End Mass

In this study, the equation of motion of a single link flexible robotic arm with end mass, which is driven by a flexible shaft, is obtained by using Hamilton's principle. The physical system is considered as a continuous system. As a first step, the kinetic energy and the potential energy terms and the term for work done by the nonconservative forces are established. Applying Hamilton's principle the variations are calculated and the time integral is constructed. After a series of mathematical manipulations the coupled equations of motion of the physical system and the related boundary conditions are obtained. Numerical solutions of equations of motion are obtained and discussed for verification of the model used.     

Simulation Estimation of Quantiles From a Distribution With Known Mean

It is common in practice to estimate the quantiles of a complicated distribution by using the order statistics of a simulated sample. If the distribution of interest has known population mean, then it is often possible to improve the mean square error of the standard quantile estimator substantially through the simple device of mean-correction: subtract off the sample mean and add on the known population mean. Asymptotic results for the meancorrected quantile estimator are derived and compared to the standard sample quantile. Simulation results for a variety of distributions and processes illustrate the asymptotic theory. Application to Markov chain Monte Carlo and to simulation-based uncertainty analysis is described.     

Mathematical modeling of the dissolving and deposition processes during solution seepage in a porous medium

A mathematical model that describes solution seepage in a porous medium and the processes of mineral dissolving and secondary deposition is proposed. Self-similar solutions describing the motion of the leading and trailing fronts, that is, the boundaries of the complete-dissolving zone, are determined. The main features of the processes under consideration are studied and numerical calculations are performed. It is shown that the model describes well the experimental data on mineral leaching by sulfate solutions. The dynamics of mineral extraction from productive solutions in a medium with a nonuniformacidity distribution are investigated. It is shown that, in the elevated-PH zones, the mineral is dissolved; whereas, in the low-acidity zones, secondary deposition of the mineral occurs. In the latter case, after the work has been completed, the bed may contain more or less considerable mineral resources, depending on the extent of the low-PH zone and its proximity to an extraction well.     

Mathematical modeling of the processes occurring during high-temperature spray coating

We give a generalization of the mathematical model of the processes occurring in the preparation of gasthermal coatings in order to compute the radiation energy, thermal effects of turbulent flow of the gas jet of a plasmotron, spraying distance and required degree of preliminary heating of the base. The boundary conditions obtained describe the radiational/convective heat exchange of bodies with a medium through thin coatings taking account of the speed of flow of the gas jet.Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 33, 1991, pp. 13–18.