A risk function for the stochastic modeling of electric capacity expansion

We present a stochastic optimization model for planning capacity expansion under capacity deterioration and demand uncertainty. The paper focuses on the electric sector, although the methodology can be used in other applications. The goals of the model are deciding which energy types must be installed, and when. Another goal is providing an initial generation plan for short periods of the planning horizon that might be adequately modified in real time assuming penalties in the operation cost. Uncertainty is modeled under the assumption that the demand is a random vector. The cost of the risk associated with decisions that may need some tuning in the future is included in the objective function. The proposed scheme to solve the nonlinear stochastic optimization model is Generalized Benders' decomposition. We also exploit the Benders' subproblem structure to solve it efficiently. Computational results for moderate‐size problems are presented along with comparison to a general‐purpose nonlinear optimization package. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48:662–683, 2001     

粘弹性谱随机有限元

发展了一种粘弹性谱随机有限元法(VSSFEM),并将其用于固体火箭发动机装药结构随机分析。基于不可压或近似不可压粘弹性增量有限元方法和正交展开理论,考虑固体推进剂泊松比的随机性,推导了粘弹性谱随机有限元列式,最后对弹性约束的圆柱形中孔药柱进行了随机分析。算例分析表明该方法能够正确有效地进行粘弹性体随机分析。     

平方根Spherical Simplex UKF在飞船姿态估计中的应用

提出了一种用矢量观测来估计飞船姿态的平方根spherical simplex unscented卡尔曼滤波算法。该算法将spherical simplex unscented变换与unscented卡尔曼滤波结合起来,与采用scaled unscented变换的unscented卡尔曼滤波相比,具有更低的计算量。其平方根形式由于协方差阵的半正定性,拥有更好的数值稳定性。飞船的姿态运动学描述采用了四元数,而用广义罗德里格斯参数来克服卡尔曼滤波过程中的四元数归一化误差。仿真结果表明,该算法比标准扩展卡尔曼滤波具有更低的姿态估计误差及更快的收敛率。     

高速破片撞击充液容器形成液压水锤的试验研究

为研究高速破片撞击充液容器形成的液压水锤效应，设计一套试验装置和测试方法，试验破片撞击充液容器产生空腔的变化过程、液体中不同位置处的压力变化以及前后面板的变形情况。试验发现：破片撞击容器后面板时会出现一圈空化气泡，气泡在后面板内表面从撞击点位置迅速沿径向扩展；液压水锤初始冲击阶段，距离撞击点较近区域在初始冲击波压力脉冲过后会出现一个较大负压，而距离撞击点较远区域不受负压影响；破片撞击速度对容器前面板最大变形影响较小，变形范围随着撞击速度的增大沿撞击点向四周扩展。后面板的最大变形及变形范围都随着破片撞击速度的增大而变大。     

空腔噪声非线性数值模拟

将雷诺平均N-S方程与非线性噪声求解方法相结合,对M219空腔在Ma=0.6,Ma=0.85,Ma=1.35条件下进行了气动噪声分析。通过雷诺平均N-S方程求解空腔流场,得到包含空腔平均流场基本特征以及强制设定的湍流脉动统计描述的初始湍流统计平均解,采用非线性噪声求解方法重构噪声源并高精度模拟压力脉动的传播。通过与试验结果对比表明非线性噪声求解方法能够较好地捕捉空腔流动中的压强脉动及噪声水平。与分离涡模拟方法相比,非线性噪声求解方法在保持计算精度的同时大大减少计算网格,对内埋弹舱快速设计具有一定的参考意义。     

球形光电成像跟踪转台的螺旋式扫描及控制方法

采用球形电机作为光电成像跟踪转台的旋转机构,研究一种新型高集成度和超大视场的光电成像跟踪系统。针对球形转台的特殊结构和旋转特点,分析了转台在三维空间中进行螺旋式扫描的特性,并设计了相应的控制方法,采用实四元数组作为转台旋转控制的数据结构。仿真结果表明,球形转台可以按预先设置的参数进行旋转,避免了空间的漏扫。     

Resistance of grid steel-tube-confined concrete targets against projectile impact: Experimental investigation and analytical engineering model

Steel-tube-confined concrete (STCC) targets are provided with excellent anti-penetration performance over semi-infinite concrete (SIC) targets since the steel tube imposes passive restraint on the in-filled concrete during the penetration process. Grid STCC system with square steel tubes is a potential solution to protective structures. In this paper, experiments of 9-cell grid STCC targets penetrated by 12.7 mm Armor Piercing Projectile (APP) were performed. The influence of side length and thickness of steel tube, steel ratio and impact velocity on anti-penetration performance were taken into account. Additionally, single-cell square STCC targets were also designed and tested for comparison with the 9-cell grid STCC targets. Damage modes and parameters of the tested targets were measured and discussed. Moreover, the stiffness of radial confinement of grid STCC targets is achieved according to the elastic solution of infinite cylindrical shell in Winkler medium. Furthermore, the penetration resistance and depth of penetration (DOP) for grid STCC targets are obtained on the basis of the dynamic finite spherical cavity-expansion (FSCE) models including radial confinement effect. It is shown that the 9-cell grid STCC targets with optimal dimension match of thickness and side length of steel tube can reduce the DOP by about 17 % and 23 % in comparison with the SIC targets and single-cell square STCC targets, respectively, due to both the confinement of square steel tube to concrete in the impacted cell and the additional confinement of the surrounding cells to the impacted cell; the penetration resistance and DOP of the grid and cellular STCC targets with similar steel ratio is close, and thus the grid STCC targets with simpler manufacturing process and excellent in-plane expandability are preferred in engineering practice; moreover, the predicted results of DOP model based on the FSCE models agree well with the tested results with the maximum disparity less than 12 % and the proposed model is more applicable to the grid and cellular STCC targets with high radial confinement.     

BTT导弹制导律研究综述

与STT导弹相比,BTT导弹在气动效率、机动能力、控制性能等方面具有明显优势,但其运动耦合特性也给传统研究框架下的制导律设计带来了挑战。本文针对BTT导弹制导律设计问题展开研究,首先描述了BTT导弹制导基本问题,分析了BTT导弹制导律设计的技术难点,需要综合考虑运动耦合、多约束、目标机动、弹体动态效应等因素,然后综述了国内外现代制导律设计的基本方法,将其分为双通道解耦法、球坐标法、现代几何法等,最后指出了BTT导弹制导律的进一步研究方向。     

球谐函数法解地球扰动引力并行计算方法

随着导弹射程的增加,传统求解地球扰动引力的球谐函数法模型阶数增大,扰动引力的计算速度明显下降。为提高弹道导弹扰动引力的赋值速度,在现有条件下结合球谐函数法计算模型的特点,在并行计算平台上,应用流水线技术和任务交叉分配的方法,建立了球谐函数法的并行计算模型。通过仿真验证,该方法能有效地提高地球扰动引力的计算速度,得到较高的并行加速比和CPU利用率。     

预处理方法在低速粘性流动中的应用

用时间相关法、LU SGS隐式求解经过预处理后的二维可压Navier Stokes方程 ,数值模拟了低速情况下不同马赫数、不同雷诺数的驱动空腔流动。为了使时间相关法能应用于计算低速流动及加快收敛 ,在控制方程的时间导数项前乘了一个预处理矩阵 ,实现了对方程的预处理。数值模拟结果表明 ,预处理确实加快了计算的收敛性 ,而定常解却没有改变。所得结果与可能的计算结果进行了比较