基于模态分析的变速箱振动测点优化配置

针对坦克变速箱振动信号在状态监测中测点的选择问题,提出了根据不同测点的频响特性优化振动测点的方法。通过分析变速箱箱体的有限元动力学模型,得到箱体的各阶固有频率和振型,选择模态分析中总位移较大的位置作为最优的测点安装传感器,为试验测点布置以及状态监测和评估提供理论支持。研究结果表明：位于风扇联动装置齿轮箱附近的传感器对变速箱振动信号的强弱变化比较敏感。     

点邻域尺度差异描述的点云配准算法

针对传统特征描述符计算复杂度高、配准精度低的问题,提出一种基于不同尺度点邻域特征信息差异的点云配准算法。在特征描述符方面,对关键点选取不同尺度的邻域空间,计算各尺度空间之间的特征值归一化向量差异和法向量夹角,建立点邻域尺度差异描述符,特征描述符计算简单且节省时间。在关键点选取方面,根据曲面形状指数设计了一种寻找关键点的方法,提取的点具有很好的代表性。在对应关系寻找方面,提出一种基于欧式距离的对应点二重筛选方法,找出对应点对集,设计了基于全局距离的全局最优点云变换矩阵求取方法。实验结果表明,点邻域尺度差异描述的点云配准算法具有良好的配准精度和稳健的噪声鲁棒性。     

基于梯度直方图的交叉点检测方法

提出基于梯度直方图的交叉点检测方法:统计像素点邻域梯度信息生成特征描述子,通过判定准则筛选候选交叉点,基于欧氏距离对候选交叉点进行聚类后,利用灰度加权法定位图像交叉点坐标.仿真实验验证了算法的正确性与可行性,结果表明:该方法适用于交叉角为65°～90°范围内的交叉点检测,定位精度优于0.6像素,检测率大于90％;该方法...     

指派问题的降阶优化算法

指派问题是运筹学中特殊线性规划中的一类问题。在现实生活中,指派问题非常普遍,常常可以见到各种各样的指派问题。通过对指派问题的数学模型进行分析,提出了与以往方法不同的求解指派问题的一种新的思路,通过对几个定理的研究,给出了一种新的求解方法——降阶优化算法。对求解指派问题提供了一种新的途径,在运筹学等领域有着较好的应用前景。     

希里诺夫公式的误差和简化计算

近几十年来,液体闪点计算方法一直引用希里诺夫公式,并将其中仪器常数Ａ作为常量处理。笔者用多种燃烧性流体的有关参数验证,发现Ａ实际并非常数,用此公式求算闪点缺乏科学性,偏差大,应用范围有限。有关教材中该公式求解闪点的方法可简化。     

某型机载空地反辐射导弹作战仿真与效能评估

针对某型机载空地反辐射导弹(ARM)作战特点,详细分析了反辐射导弹的作战过程,并对其作战过程进行了仿真建模,深入研究了反辐射导弹在单点源、两点源、三点源作用下的作战效能,最后通过蒙特卡洛方法仿真模拟了反辐射导弹作战的全过程,并对其作战效能进行了评估,得出了影响反辐射导弹作战效能的主要因素,为某型空地反辐射导弹的靶场训练提供了比较合理的依据。     

火炮火控系统命中解的分布和存在性

定义了火控系统中问题联立方程应满足的“基本假设”,从理论上讨论了在“基本假设”条件下诸命中解的分布特性 ,证明临近的命中解 (如果存在的话 )是唯一的 ,给出了临近解存在的充分必要条件。用一个简单的实例表出不同目标速度下诸命中解分布的实验数据     

Balancing and optimizing a portfolio of R&D projects

A mathematical formulation of an optimization model designed to select projects for inclusion in an R&D portfolio, subject to a wide variety of constraints (e.g., capital, headcount, strategic intent, etc.), is presented. The model is similar to others that have previously appeared in the literature and is in the form of a mixed integer programming (MIP) problem known as the multidimensional knapsack problem. Exact solution of such problems is generally difficult, but can be accomplished in reasonable time using specialized algorithms. The main contribution of this paper is an examination of two important issues related to formulation of project selection models such as the one presented here. If partial funding and implementation of projects is allowed, the resulting formulation is a linear programming (LP) problem which can be solved quite easily. Several plausible assumptions about how partial funding impacts project value are presented. In general, our examples suggest that the problem might best be formulated as a nonlinear programming (NLP) problem, but that there is a need for further research to determine an appropriate expression for the value of a partially funded project. In light of that gap in the current body of knowledge and for practical reasons, the LP relaxation of this model is preferred. The LP relaxation can be implemented in a spreadsheet (even for relatively large problems) and gives reasonable results when applied to a test problem based on GM's R&D project selection process. There has been much discussion in the literature on the topic of assigning a quantitative measure of value to each project. Although many alternatives are suggested, no one way is universally accepted as the preferred way. There does seem to be general agreement that all of the proposed methods are subject to considerable uncertainty. A systematic way to examine the sensitivity of project selection decisions to variations in the measure of value is developed. It is shown that the solution for the illustrative problem is reasonably robust to rather large variations in the measure of value. We cannot, however, conclude that this would be the case in general. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 18–40, 2001     

奇型非线性抛物问题的有限元误差估计

引入带权的Sobolev空间 ,讨论了奇型非线性抛物问题的有限元方法 ,在a(u) ,f(u)均满足Lips chitz条件下 ,证明了相应椭圆投影算子Rhu与u之间误差估计式 ,并在一定的假设下 ,给出了奇型非线性抛物问题的广义解u及半离散问题的有限元解uh 误差估计式 .     

一致光滑Banach空间中一类非线性算子方程的解

证明了一个新的锐角原理,在不使用连续性条件的情况下,给出了在一致光滑Banach空间中一类非线性算子方程的可解性定理。