陆军诸兵种合同作战兰切斯特方程的弹药消耗预测研究

描述了诸兵种合同作战的兰切斯特方程及其矩阵解,提出了一种通过兵力损耗换算弹药损耗的新思路,分析和确定了用该方法预测弹药消耗的相关参数,最后运用Matlab进行仿真计算,预测出了武器装备战损情况和弹药消耗情况。     

以发射质量最小为优化目标的反TBM拦截器优化研究

以反ＴＢＭ拦截器发射质量最小为优化目标,系统地研究了反ＴＢＭ拦截器总体优化技术,建立了反ＴＢＭ拦截器数学模型和优化算法,并得出重要结论。     

基于SEM的装甲车辆驾驶作业疲劳主要影响因素识别研究

在对装甲车辆驾驶作业疲劳影响因素调查研究的基础上,利用AMOS5.0建立了装甲车辆驾驶作业疲劳影响因素结构方程模型,并检验了其合理性,对作业疲劳主要影响因素进行了识别和分析,分析结果可为改善装甲车辆驾驶作业环境、科学训练、驾驶员选拔以及降低作业疲劳程度的研究提供借鉴和参考。     

战斗建模中的作战Agent模型研究

围绕战斗建模中的作战Agent模型的实现问题,通过对坦克战斗过程的分析,提出了以属性建模、能力建模和行为机制建模为要点的作战Agent建模方法,并在此基础上建立了面向实际应用的作战Agent模型;通过推演实验和与兰切斯特方程的比较实验,验证了作战Agent模型在模拟和解释战斗活动时的可行性、有效性和可操作性。     

基于时滞的现代空防对抗兰彻斯特方程模型

针对现代战争中空防对抗过程的复杂,分析了现代作战条件下空袭与防空作战的主要特点,建立了基于时滞的现代空防对抗兰彻斯特方程模型,给出了该模型参数的求取方法,并进行了算例仿真分析,得到了有价值的仿真结果,为现代空防与防空作战提供了指导。     

梁的横向振动频率方程的一般表达式

本文推导出梁的横向振动频率方程的一般表达式。十七种在各种边界条件下的梁的横向振动频率方程均是它的特殊情况。     

Verification and validation of detonation modeling

The mathematical model used to describe the detonation multi-physics phenomenon is usually given by highly coupled nonlinear partial differential equations. Numerical simulation and the computer aided engineering (CAE) technique has become the third pillar of detonation research, along with theory and experiment, due to the detonation phenomenon is difficult to explain by the theoretical analysis, and the cost required to accredit the reliability of detonation products is very high, even some physical experiments of detonation are impossible. The numerical simulation technique can solve these complex problems in the real situation repeatedly and reduce the design cost and time stunningly. But the reliability of numerical simulation software and the serviceability of the computational result seriously hinders the extension, application and the self-restoration of the simulation software, restricts its independently innovational ability. This article deals with the physical modeling, numerical simulation, and software development of detonation in a unified way. Verification and validation and uncertainty quantification (V&V&UQ) is an important approach in ensuring the credibility of the modeling and simulation of detonation. V&V of detonation is based on our independently developed detonation multi-physics software-LAD2D. We propose the verification method based on mathematical theory and program function as well as availability of its program execution. Validation is executed by comparing with the experiment data. At last, we propose the future prospect of numerical simulation software and the CAE technique, and we also pay attention to the research direction of V&V&UQ.     

一元二次四元数单边多项式的求根公式

随着四元数代数广泛应用于量子力学、惯性导航及控制论等学科,四元数多项式的求根问题被许多学者关注。最近Janovska和Opfer从理论上给出了一种n次四元数单边多项式零点的求解方法,Feng和Zhao进一步给出了一般n次四元数单边多项式的零点显性表达式。 本文根据Feng和Zhao的结果对一元二次四元数单边方程的根进行了讨论,并利用复数域上四次多项式的Ferrari求根公式建立了一元二次四元数单边方程的求解公式。与文献中现有的结果相比,本文建立的求根公式在许多方面展现了优越性。