拖缆系统回转运动仿真计算

用三因次拖缆系统动力平衡运动方程式 ,在时间和空间上作中心差分数值离散平衡方程式 ,编制了拖缆回转运动计算程序 .在拖缆尾端自由边界条件中 ,将尾绳阻力作为自由尾端点的张力 ,改善了因自由尾端张力为零引起的差分方程奇异性 ,使仿真计算更加稳定 .将阵形坐标值转换到拖点运动坐标系中 ,便于拖船观察回转机动中阵形的变化 .仿真计算了两个拖曳阵试验模型 ,仿真结果与试验比较吻合较好 .对实尺寸拖曳线列阵进行了仿真计算 ,讨论了拖点速度和回转半径对阵形影响     

Minimizing makespan on a single batch processing machine with nonidentical job sizes

We deal with the problem of minimizing makespan on a single batch processing machine. In this problem, each job has both processing time and size (capacity requirement). The batch processing machine can process a number of jobs simultaneously as long as the total size of these jobs being processed does not exceed the machine capacity. The processing time of a batch is just the processing time of the longest job in the batch. An approximation algorithm with worst‐case ratio 3/2 is given for the version where the processing times of large jobs (with sizes greater than 1/2) are not less than those of small jobs (with sizes not greater than 1/2). This result is the best possible unless P = NP. For the general case, we propose an approximation algorithm with worst‐case ratio 7/4. A number of heuristics by Uzosy are also analyzed and compared. © 2001 John Wiley & Sons, Inc. Naval Research Logistics 48: 226–240, 2001     

Case‐based reasoning and improved adaptive search for project scheduling

Most scheduling problems are notoriously intractable, so the majority of algorithms for them are heuristic in nature. Priority rule‐based methods still constitute the most important class of these heuristics. Of these, in turn, parametrized biased random sampling methods have attracted particular interest, due to the fact that they outperform all other priority rule‐based methods known. Yet, even the “best” such algorithms are unable to relate to the full range of instances of a problem: Usually there will exist instances on which other algorithms do better. We maintain that asking for the one best algorithm for a problem may be asking too much. The recently proposed concept of control schemes, which refers to algorithmic schemes allowing to steer parametrized algorithms, opens up ways to refine existing algorithms in this regard and improve their effectiveness considerably. We extend this approach by integrating heuristics and case‐based reasoning (CBR), an approach that has been successfully used in artificial intelligence applications. Using the resource‐constrained project scheduling problem as a vehicle, we describe how to devise such a CBR system, systematically analyzing the effect of several criteria on algorithmic performance. Extensive computational results validate the efficacy of our approach and reveal a performance similar or close to state‐of‐the‐art heuristics. In addition, the analysis undertaken provides new insight into the behaviour of a wide class of scheduling heuristics. © 2000 John Wiley & Sons, Inc. Naval Research Logistics 47: 201–222, 2000     

抗滑短桩越顶问题的有限元验证

抗滑短桩是介于抗滑键与全长桩的一种特殊的抗滑桩,由于其较全长桩经济,已在实际工程中应用。云阳县太公沱至余家包库岸大咀段库岸因其下滑推力大、滑面埋深深,采用常规的抗滑桩极其不合理,通过方案比选此滑坡采用长12m的抗滑短桩进行支护。运用有限元强度折减法对设置抗滑短桩后,对滑面是否越过桩顶进行了验证。经计算设置抗滑短桩后滑坡稳定系数为1．25,说明滑坡采用抗滑短桩支护是可行的。     

基于网络的高校教学案例资源管理系统设计与实现

结合某高校案例教学的实际需求,研究设计了基于.NET平台三层架构的教学案例资源管理系统,实现了灵活的管理授权、可定制分级审核、实时案例编辑和简单实用的案例教学互动等功能,具有较强的可移植性、扩充性和可维护性,在实际应用中获得了良好的效果。     

武警总队应急车辆故障诊断系统研究

将人工神经网络和基于案例推理技术结合用于车辆故障诊断系统中,构建了ANN与CBR结合模型,阐述了各子系统的基本功能及相互关系,并对关键技术进行了详细解释。实例诊断表明,ANN和CBR方法的结合有效地弥补了它们各自的缺陷,提高了应急条件下车辆的维修保障能力。     

两种捆绑火箭弹性振动建模方法对比分析及其对姿控系统的影响

针对长助推和短助推两种类型捆绑火箭的不同模态特点,分析了两者弹性振动建模方法的区别和联系,在此基础上建立了某型固体捆绑火箭姿态动力学新模型,模型中基于有限元法导出了弹性振动方程,基于该模型对箭体复杂弹性振动引起的通道间耦合进行了研究,采用逆Nyquist阵列法进行设计。结果表明,该模型能更准确地反映捆绑火箭纵、横、扭耦合运动特性;新模型三通道之间存在弹性耦合,但耦合矩阵具有对角优势性质,采用逆Nyquist阵列法进行姿控系统设计是有效的,仿真结果表明设计的控制器可行,能够取得比较好的性能。     

一类半线性抛物型方程组解的爆破速率估计

研究了一类具有不同类型反应项的半非线性抛物型方程组初边值问题,这类模型主要描述两种物质燃烧过程中的热传递规律。通过运用古典计算技巧和偏微分方程的定性分析手法,得到了这类半非线性抛物型方程组初边值问题解的爆破速率估计。     

在高校数学教育中应用数学案例教学的研究与实践

案例教学法是以案例为媒介的一种启发式教学方法。案例教学在数学教学中有重要作用,它有助于丰富和加深学生对数学理论知识的理解,把握好数学案例教学方法,对于培养和锻炼学生的分析解决实际问题的能力有着积极作用。     

双层柱壳的流固耦合模态计算与试验研究

采用结构有限元和内域流体有限元的流固耦合计算方法,对球壳及其内域流体进行有限元离散计算,并将计算所得的模态振动频率与理论结果进行了比较.采用同样的方法,进一步对加筋双层圆柱壳进行了流固耦合的复特征值分析,并求解了其固有频率和振型.试验分别对双层柱壳充水和不充水情况下模态和模态频率进行了测量,结果证实了数值计算方法的正确性.