关于一类二阶共轭矩阵方程的解

考虑一类二阶共轭矩阵方程 B*X*AXB+B*X*C+C*XB+D=O 其中，B∈Cp×m，A∈n×n，C∈Cn×m，D∈Cm×m，在A＞O及A≥O，C或B为列满秩阵两种情况 下，此方程可解的充分必要条件，并在有解的情况下，给出了通解的显式表示。     

有自由液面的陷落式圆腔流噪声实验研究

采用基于经验模态分解(EMD)的本征模态函数(IMF)分析法和对比实验法研究了有自由液面的陷落式圆腔的流噪声,实验流速为0.4m/s~2.0m/s,间隔0.2m/s。实验发现当流速为0.4m/s~0.6m/s时,腔内液体有明显的振荡现象,其表现形式为液体沿腔内深度方向的大幅上下运动,称为“活塞(Piston)”现象。当流速大于等于0.8m/s时,腔内无振荡现象出现。通过对背景噪声和腔流噪声的本征模态函数作对比分析,得到了腔内流噪声的特性。     

PMM tests in a circulating water channel and nonlinear analysis

As a result of frequent marine disasters leading to the loss of human life and pollution of vast areas of the ocean, ship manoeuvrability has become a very important characteristic of ship design. Among several recent experimental techniques to determine ship manoeuvrability, the most popular is captive model testing using a planar motion mechanism (PMM). This article describes some tests, analyses, and results of PMM tests in a circulating water channel (CWC) using a model of a training ship. The hydrodynamic forces and moments acting on a model of the training ship Shioji Maru in pure yawing motion were measured, and hydrodynamic derivatives were obtained using two different methods of analysis: singular value decomposition (a least-squares fit method) and Fourier analysis. Derivatives obtained from the tests were used to simulate the turning trajectory of the actual ship, and these were compared with the results of sea trials. The results indicate that both methods of analysis yield fairly similar derivatives. The simulation results were also found to be a close match with the trial results. Received: February 7, 2002 / Accepted: May 14, 2002 Address correspondence to: K. Shoji (shoji@ipc.tosho-u.ac.jp)     

准饱和土中单桩竖向荷载作用下的动力响应

根据Biot饱和多孔连续介质波动方程,基于Bardet对准饱和土的假设,提出了准饱和土二相介质波动方程;运用Helmholtz矢量分解和传递、透射矩阵法(TRM)推导出准饱和土中层状半空间受竖向荷载作用下的动力响应表达式;利用Muki虚拟桩法,在层状半空间建立了桩和准饱和土相互作用的第二类Fredholm积分方程,通过离散的数值积分方法求解积分方程,讨论了准饱和土中单桩竖向动力响应问题.算例分析表明,准饱和土中桩顶竖向阻抗随饱和度的减少而增大,与饱和土地基相比,明显偏大;桩侧孔压随饱和度的减小而增大,并沿着桩长迅速衰减;桩顶位移幅值在频率较小时变化明显,饱和度越小,位移峰值越大,当频率较大时,饱和度的变化对振幅的影响不大.     

EEMD和SVM在发动机故障诊断中的应用

针对发动机缸盖振动信号的非线性非平稳特征,提出一种总体平均经验模态分解(EEMD)和支持向量机相结合的信号分析及故障诊断方法,该方法利用EEMD算法以及IMF序列和原始振动信号之间的相关系数,有效放大故障诊断特征向量的差异。对原始振动信号进行EEMD分解,得到各阶特征模态函数(IMF),求各阶IMF分量对应于原始信号的相关系数并组成故障分类特征向量。分别将IMF相关系数法和IMF能量分布法得到的特征向量作为输入,建立BP神经网络和支持向量机,判断发动机工作状态和故障类型。分析表明,对IMF求相关系数的方法简便易行,能有效放大不同工况下特征向量的差异,结合支持向量机能够对既定机型的配气机构和点火系常见故障进行准确识别。     

半潜式海洋钻井平台生产设计任务分解研究

文章对半潜式海洋钻井平台生产设计任务分解开展研究,将生产设计任务按阶段、区域、专业、作业类型、作业性质进行分类,基于WBS分解原理(Work Breakdown Structure),将半潜式海洋钻井平台生产设计任务逐层分解成较小的可控任务,以便落实到具体设计人员,从而有效控制生产设计进度。     

需求响应的集装箱班列时刻表优化及 Benders分解算法

充分考虑集装箱货物与集装箱班列在时间和数量方面的匹配关系，以集装箱货物送达目的站的总延误最小为目标，构建集装箱班列时刻表优化的线性混合整数规划模型.采 用Benders分解算法将原问题分解为确定集装箱货物与班列匹配方案的主问题，以及优化班列时刻表的子问题，通过求解子问题的对偶模型不断产生主问题的割平面.为克服割平面有效性较低的缺点，设计改进策略，使每次迭代产生多个割平面同时添加至主问题中.最后，通过算例验证模型和算法的有效性.结果表明：改进策略的运用有效提高了算法的计算效率，利用模型及算法得到的班列时刻表与集装箱货物的数量、时间分布之间具有较好的匹配性，制定的班列时刻表很好地响应了用户需求.     

Application of Lagrangian relaxation approach to α-reliable path finding in stochastic networks with correlated link travel times

This study investigates the important problem of determining a reliable path in a stochastic network with correlated link travel times. First, the distribution of path travel time is quantified by using trip records from GPS probe vehicles. Second, the spatial correlation of link travel time is explicitly considered by using a correlation coefficient matrix, which is incorporated into the α-reliable path problem by Cholesky decomposition. Third, the Lagrangian relaxation based framework is used to handle the α-reliable path problem, by which the intractable problem with a non-linear and non-additive structure can be decomposed into several easy-to-solve problems. Finally, the path-finding performance of this approach is tested on a real-world network. The results show that 15 iterations of calculation can yield a small relative gap between upper and lower bounds of the optimal solution and the average running time is about 5 s for most OD settings. The applicability of α-reliable path finding is validated by a case study.     

基于FFT的MP信号稀疏分解算法的改进

针对基于FFT的MP信号稀疏分解算法中存在的计算量过大的问题,提出了改进算法.改进算法充分利用了当FFT算法的变换长度是2的整数次幂时运算速度最快的性质,用基2 FFF实现信号稀疏分解中的相关运算.理论分析显示,当数字信号长度为1 024采样点时,用FFT算法计算互相关的速度为直接计算的10.6倍.仿真实验结果表明,改进算法的计算速度为直接计算的8.05倍,为原基于FFT的MP算法的3.64倍.     

数控车床仿真系统开发

根据数控车削加工的特点，提出一个基于构造单元的工件分解表达模型，利用此模型与刀具实体模型做布尔减运算，实时模拟工件材料的去除加工过程，并验证加工结果．在此基础上，根据切削力、切屑形成原理，提取几何仿真中的切削层参数和一些相关参数，将其应用于切削力计算和切屑仿真中，形成几何仿真和物理仿真集成的数控车床仿真系统．