“Miniaturized” Linearizations for Quadratic 0/1 Problems

In order to solve a quadratic 0/1 problem, some techniques, consisting in deriving a linear integer formulation, are used. Those techniques, called “linearization”, usually involve a huge number of additional variables. As a consequence, the exact resolution of the linear model is, in general, very difficult. Our aim, in this paper, is to propose “economical” linear models. Starting from an existing linearization (typically the so-called “classical linearization”), we find a new linearization with fewer variables. The resulting model is called “Miniaturized” linearization. Based on this approach, we propose a new linearization scheme for which numerical tests have been performed.     

中小功率CO2激光的厚板切割技术

分析了激光厚板切割技术的能量平衡和技术难点,具体介绍了几种厚板切割新技术,包括预热法、散焦法、激光锯切法、双聚焦法.并从工艺角度分析了几种切割技术的优缺点.     

Cutting-plane proofs in polynomial space

Following Chvátal, cutting planes may be viewed as a proof system for establishing that a given system of linear inequalities has no integral solution. We show that such proofs may be carried out in polynomial workspace.Research supported by Sonderforschungsbereich 303 (DFG), Institut für Operations Research, Universität Bonn, FR Germany and by NSF grant ECS-8611841.     

遗传算法优化设计在切削加工中的应用

优化设计是现代设计方法的重要组成部分,遗传算法是优化设计方法之一.根据薄壁铝合金件的加工变形量的经验公式,通过有限元分析软件Ansys 10.0对其变形量进行仿真,得出零件在不同加工参数下的变形量;再由优化设计中的遗传算法,用MATLAB7.0工具箱中的程序编程,得出在最小变形量时所需的加工参数和夹紧力,其对产品的生产加工有着现实的指导意义.     

基于桥域理论的Cu单晶纳米切削跨尺度仿真研究

桥域方法是一种典型的跨尺度仿真研究方法.基于桥域理论,本文分析了原子和连续介质耦合区域的处理问题,即在耦合区采用不同的权重计算系统的能量,通过Lagrange乘子法对原子和连续介质位移进行约束.采用桥域方法,建立了单晶Cu米纳切削的跨尺度仿真模型,获得了单晶Cu纳米切削的材料变形机理.同时,研究了不同切削速度对纳米切削过程和原子受力分布的影响,仿真结果表明:随着切削速度的提高,切削区原子所受的力值增大,切屑变形系数减小,已加工表面变质层厚度增加.本文基于桥域理论,实现了Cu单晶纳米切削跨尺度的建模和仿真, 关键词： 桥域法 纳米切削 单晶Cu 切削速度     

三合板半圆筒激光切割机动态特性分析

针对三合板半圆筒激光切割机,对其θ轴系的机电传动装置进行了详细的分析,将其机械传动系统中各轴及相应齿轮的转动惯量、阻尼系数、扭转刚度折算到电机主轴上,在机电耦合基础上,建立了θ轴系动态特性的数学模型。采用MATLAB软件的SIMULINK仿真模块进．行θ轴系动态特性的仿真,分析了θ轴系传动比、电感系数、扭转刚度等参数对...     

Quantitative analysis of trace‐level benzene,toluene, ethylbenzene,and xylene in cellulose acetate tow using headspace heart‐cutting multidimensional gas chromatography with mass spectrometry

This study describes a method for the quantification of trace‐level benzene, toluene, ethylbenzene, and xylene in cellulose acetate tow by heart‐cutting multidimensional gas chromatography with mass spectrometry in selected ion monitoring mode. As the major volatile component in cellulose acetate tow samples, acetone would be overloaded when attempting to perform a high‐resolution separation to analyze trace benzene, toluene, ethylbenzene, and xylene. With heart‐cutting technology, a larger volume injection was achieved and acetone was easily cut off by employing a capillary column with inner diameter of 0.32 mm in the primary gas chromatography. Only benzene, toluene, ethylbenzene, and xylene were directed to the secondary column to result in an effective separation. The matrix interference was minimized and the peak shapes were greatly improved. Finally, quantitative analysis of benzene, toluene, ethylbenzene, and xylene was performed using an isotopically labeled internal standard. The headspace multidimensional gas chromatography mass spectrometry system was proved to be a powerful tool for analyzing trace volatile organic compounds in complex samples.     

荧光材料GdOCl∶Er~(3+),Yb~(3+)的深红-近红外发光研究

采用高温固相合成法制备了Er3+,Yb3+双掺杂的GdOCl荧光材料,并研究其荧光性能。该双掺杂体系荧光粉吸收紫外光,发出红色(619 nm)和近红外(~979 nm)荧光。在这些荧光材料中,1个Er3+离子可以有效将其能量转移给2个Yb3+离子。通过改变Yb3+掺杂浓度,对比Gd0.998 5-yOCl∶0.0015Er3+,yYb3+中的Er3+的发射光谱和不同检测波长的荧光寿命变化特点,对Er3+-Yb3+发生量子剪裁的能级进行分析和指认,并计算了能量转化效率(η)和量子效率(Q)。正是由于具备这种荧光性能,该荧光材料体系有望在荧光太阳能收集器以及军事和医学的红外显示和探测技术中获得应用。     

Hermite Subdivision Schemes and Taylor Polynomials

We propose a general study of the convergence of a Hermite subdivision scheme ℋ of degree d>0 in dimension 1. This is done by linking Hermite subdivision schemes and Taylor polynomials and by associating a so-called Taylor subdivision (vector) scheme . The main point of investigation is a spectral condition. If the subdivision scheme of the finite differences of is contractive, then is C ⁰ and ℋ is C ^d . We apply this result to two families of Hermite subdivision schemes. The first one is interpolatory; the second one is a kind of corner cutting. Both of them use the Tchakalov-Obreshkov interpolation polynomial.      

共边排样件激光切割路径的规划

排样软件的应用使材料利用率得到了很大提高，然而后续切割软件若不能保证有效地切割零件、保证零件质量及提高生产率，则排样软件在材料利用率上获得的收益将丧失。基于图论学理论，建立了规则与非规则零件共边排样时激光切割路径规划的数学模型，给出了在充分考虑加工质量、加工效率、制造成本情况下的激光切割路径优化目标：打孔点最少以及切割中割嘴空行程最短。提出了满足激光切割工艺要求的三个切割路径优化算法：用于求解理想情况下共边切割路径优化问题的一个新的欧拉回路算法；基于奇度顶点完全图最小权最大匹配算法来求解一般情况下共边切割路径优化问题的算法；利用废料区域进一步减少打孔点的处理策略与求解算法。给出了各种算法的运行实例，验证了所提出的算法的有效性。