对应于Legendre多项式结点的Hermite—Fejer算子的收敛阶

本文给出了当以Legendre多项式零点作插值节点时Hermite—Fejer多项式的逼近阶并证明了这个逼近阶是不可改进的。     

加权吸收边界条件的优化设计

基于声波波动方程的旁轴近似吸收边界条件可以通过提高泰勒级数展开的旁轴近似阶数获得更好的吸收效果,但这样不仅增加了差分计算的复杂性,同时还导致计算过程不稳定。针对这一问题,提出了优化加权吸收边界条件。首先从理论上讨论了优化加权吸收边界条件,提出了加权因子概念,通过调节加权因子来拓展边界反射完全吸收角度;然后利用脉冲响应和数值模拟对优化加权吸收边界条件的吸收效果进行了分析。结果表明,选择合适的加权因子可以将边界处的完全吸收角度拓宽到60°以上,反射系数误差不超过2.5%。该方法简单易行,计算量小,而吸收效果比常规旁轴近似吸收边界条件更好。     

影响弹丸起始扰动的火炮结构参数灵敏度分析与优化研究

弹丸起始扰动对火炮射击精度有重要影响,为了减小弹丸起始扰动,建立了某大口径轻型牵引炮弹炮耦合全炮动力学参数化有限元模型,由弹丸出炮口时刻弹丸的角位移、角速度表征弹丸起始扰动,构建优化目标函数,对火炮结构参数的影响程度进行灵敏度分析;同时利用径向基神经网络近似模型方法对弹丸起始扰动进行优化研究。结果表明,摇架臂板厚对弹丸起始扰动影响显著,优化后弹丸出炮口时刻弹丸角位移和角速度均明显减小。该结果可为火炮结构设计提供理论依据。     

Analysis of the use of voltammetric results as a steady state approximation to evaluate kinetic parameters of the hydrogen evolution reaction

The use of the voltammetric response j^vol(η) of a potentiodynamic sweep at a slow scan rate vs in place of a steady state polarization curve j^ss(η) for the determination of the kinetic parameters of the hydrogen evolution reaction is analyzed. It is proposed to consider jvol(η,vs)≅jss(η) when the condition 0.99≤jvol(η,vs)/jss(η)≤1.01 is verified in the overpotentials range η ≤ −0.05 V. It has been also established a simple relationship between the maximum admissible scan rate and the equilibrium polarization resistance R_p. Finally, the application of this criterion on different electrodes is described and discussed.     

需求是随机变量的生产计划模型最优控制

在有一个反馈的情况下,具有随机需求和离散时间参数的生产计划模型的最优控制是存在的.本文将讨论具有积压定货的这种生产计划模型的最优控制的某些性质.求目标函数J_r(x,y)=sum from k=r to ∞ c~(k-r)E[f_k(x_k)+gk(yk)]的最小值,其中c是折价系数,0相似文献   

Associating visual textures with human perceptions using genetic algorithms

This paper deals with an approach allowing to associate visual textures with given human perceptions. Hereby, based on a forward model associating human perceptions for given visual textures, the deduction of an reverse process is presented which is able to associate and characterize visual textures for given human perceptions. For doing so, we propose a constraint-based genetic algorithm approach, which is able to minimize a specific optimization problem containing constraints in form of band-widths for valid individuals (low level features extracted from textures) in a population. The constraints are determined by relationships between (low level) features characterizing textures in form of high-dimensional approximation models. Additionally, in each iteration step checking for valid individuals is carried out with a texture/non-texture classifier or by using a convex hull over a set of valid textures. The whole approach is evaluated based on a real-world texture set used as a start population in the genetic algorithm and by defining various kinds of human perceptions (for which textures are sought) represented by adjective vectors in the aesthetic space. The generated individuals (low level feature vectors) have a high level of fitness (they are quite close to the pre-defined adjective vectors) and a small distance to the initial population. The textures synthesized based on the generated individuals are visualized and compared with textures synthesized by a time-intensive direct texture mixing and re-combination method based on a real-world texture data base.     

随车起重机伸缩臂截面多目标优化

为了提高某火箭炮弹药装填车随车起重机伸缩臂的结构刚度,减轻结构质量,建立了随车起重机伸缩臂参数化模型,并对伸缩臂在水平受载状态下进行仿真分析。以伸缩臂截面尺寸参数为设计变量,借助最优拉丁超立方试验设计建立样本空间,构造响应面多项式函数近似模型。在此基础上,利用NSGA-Ⅱ型遗传算法对伸缩臂自身重量、挠度进行多目标优化。优化结果表明:伸缩臂质量减轻了24.5%,减重效果明显。文中所采用的将参数化建模、有限元分析和数值寻优相结合的优化方法,可为起重机伸缩臂截面优化提供一定的参考。     

浮升力对盘缘篦齿封严性能的影响

基于Boussinesq近似,对准三维盘缘篦齿进行数值模拟,求解温度场和速度场,研究次流通道流体的流动和换热特性,分析浮升力对盘缘篦齿封严性能的影响。结果表明：重力场引起的浮升力对封严效果基本无影响,而离心浮升力对旋转件附面层流体有一个径向的驱动作用,使得次流通道流动阻力增大,篦齿封严性能变好;在有热边界的情况下,离心浮升力对泄漏系数的影响与次流格拉晓夫数有关;随着壁温和转速的增加,离心浮升力对于提高封严篦齿性能的作用增大;随着轴向间隙的增大,泄漏系数增大,且离心浮升力降低篦齿泄漏系数的作用随轴向间隙的增大而减小。     

基于RMFA-ICA的人脸识别

针对有噪的ICA模型,提出一种有限制的平均场近似(restrictive m ean field approxim ation,RMFA)的算法来求解ICA模型参数和源信号的估计问题.在传统MFA-ICA算法的基础上,提出将ICA中的模型参数和源信号均限制为非负,目的是使得提取出的特征更独立,更利于识别.通过手写体数字和仿真模拟人脸图形以及ORL人脸数据进行实验,将RMFA-ICA算法与传统的ICA算法和无限制的MFA-ICA算法进行比较,对于手写体数字和仿真模拟人脸图形,RMFA-ICA算法能分离出更独立的特征,对于ORL人脸数据,其结果表明,利用RMFA-ICA算法明显优于传统ICA算法和无限制MFA-ICA算法识别结果.     

对悬索桥对称竖弯基频近似公式的修正

分析了边缆和桥塔刚度对悬索桥对称振动基频的影响 ,然后基于能量原理 ,在分别考虑了边缆和桥塔刚度的影响以及悬索桥自由振动实际振型的情况下 ,用Rayleigh Ritz法对悬索桥一阶竖向挠曲自由振动频率近似计算公式作了进一步的改进 ,用以对五座悬索桥算例的计算 ,计算结果和精确的有限元解非常接近 ,其精度可以满足方案选择和初步设计阶段的要求