Thomas—Fermi—Dirac方程的两点边值问题

建立了量子力学中的Ｔｈｏｍａｓ－Ｆｅｒｍｉ－Ｄｉｒａｃ方程，得到了孤立中性原子和正离子情形的边值问题解的存在性。     

多声呐基阵时差定位无解问题研究

声呐无源工作时可以通过测量时差进行定位．对平面3声呐基阵无源时差定位系统的定位过程中可能出现的无解现象进行了探讨，找出了无解分布与布站以及观测噪声方差大小之间的规律，并在各种布站及噪声条件下，对布站与无解分布的关系进行了仿真，直观反映了不同布站形式对时差定位的影响．针对不可避免的定位无解情况，提供了具体的无解问题的解决方法，并根据无解分布规律，提出了最优布站的3个原则．     

Simultaneous modeling of individuals’ duration and expenditure decisions in out-of-home leisure activities

In this paper, we propose an activity model under time and budget constraints to simultaneously predict the allocation of time and money to out-of-home leisure activities. The proposed framework considers the activity episode level, given that the activity is scheduled. Thus, the model considers the decision of the quantities for duration and expenditure spent during the activity. We use a flexible utility function and show how the simultaneous equations can be estimated by using structural equations model (SEM) estimation techniques to handle the endogeneity problem of time and expenditure. The estimation results are based on a large national leisure diary data set collected in 2008 in the Netherlands, which provides detailed information about time and money spent as well as timing and location attributes of the activities. The analysis reveals that socio-demographics, travel party, timing and location variables influence the duration and expenditure of activity episodes. It shows that various socio-demographic groups display different preferences in terms of the time and money spent on activities. The results also indicate substitution relationships between spending more time and money for various activity categories. Thus it is concluded that the analysis provides useful results for a better understanding of combined time and money allocation decisions for leisure activities.     

Time-domain structural analysis during block turnover and lifting using 2D flexible multibody dynamics

Ship construction involves the assembly of several blocks on a dock. When a block is lifted using a crane, it undergoes deformation. Until now, structural analysis has been applied in a few cases to evaluate the stress on such blocks. Therefore, this study proposes an evaluation method for time-domain stress using 2D flexible multibody dynamics. We adopt the discrete Euler-Lagrange equation to achieve robustness during the numerical integration of problems that involve high stiffness. We formulate the equations of motion of 2D shell elements based on the absolute nodal coordinate formulation, which is an efficient analysis technique for nonlinear and large deformation cases. We also derive the two types of kinematic constraints (ball and fixed joints) between the rigid and shell element, which can be attached to an arbitrary point. Based on the theories, we develop the program to build models, including 2D flexible multibody dynamics and several joints, and to solve the equations of motion efficiently. As a result, it is successfully applied to the dynamic analysis of the block turnover by a gantry crane and the block lifting by a floating crane. The von-Mises stresses that change over time are compared to the maximum yield stress and analyzed according to the wave direction.     

Simplified analysis for estimation of the behavior of a submerged floating tunnel in waves and experimental verification

To achieve rational design in waves for a submerged floating tunnel which has emerged as a new offshore transportation infrastructure, it's necessary to understand its hydrodynamic behavior. For simple but accurate estimation of hydrodynamic forces, a theoretical method is proposed and the tests with physical models in a wave flume were carried out for verification. Morison's equation was used to estimate wave loads composed of inertia force and drag force. Forces calculated by applying the linear wave theory to Morison's equation coincided well with those measured by the tests. The test results showed that mooring systems played a significant role in the movement of the submerged floating tunnel in waves. A pendulum model could be used to describe the motion of the submerged floating tunnel with a single vertical mooring. Based on the verified relations, a simple slack condition which causes the submerged floating tunnel to be unstable was also proposed. The simplified approach proposed by this study proved to be useful in designing the submerged floating tunnel in the initial stage.     

面向老龄化社会的常规公交系统问题与对策——基于老年人常规公交出行测量模型

我国已经进入老龄化社会,老年人由于生理特性的衰退、心理特性的改变,导致其搭乘常规公交时的行为特性与需求都与一般中、低龄者不同.因此,对老年人搭乘常规公交出行的需求进行了五点量表式问卷调查,获得老年人搭乘常规公交时感受到的交通环境问题,在对数据进行统计分析、信度检验和因素分析的基础上,建立简单的结构方程模型,模型经过拟合修正后,提取了影响显著的问题因子.最后分析老年人搭乘常规公交出行时的需求,并提出老龄化社会常规公交环境的改善措施.     

基于PM方程的指纹扫描仪图像增强算法研究

为降低产品成本,在采用低端CMOS图像传感器的指纹扫描仪中,采集的图像易出现通道不均衡、清晰度不高、噪声大等缺点,为了提高图像质量,提出了基于PM偏微分方程的增强指纹图像的综合算法,通过USM锐化算法和偏微分方程噪声滤波算法的有效结合,同时对USM算法和偏微分噪声滤波算法进行了优化,能显著改善图像质量,通过标准测试程序检测达到国际通用的认证标准。     

二阶混合型积分微分差分方程非线性边值问题的存在性与唯一性

利用微分不等式技巧研究了某一类混合型二阶积分微分差分方程非线性边值问题,在上下解存在的条件下,得到了解的存在性和唯一性定理.结果表明：这种技巧为其它边值问题的研究提出了崭新的思路.     

用牛顿迭代法求解弯斜坡桥直线与缓和曲线交点桩号

为计算斜交的平行式墩台布置桥梁设计中直线与缓和曲线交点桩号,采用牛顿迭代法进行求解.该方法具有趋近次数少、精度满足要求的特点.经实际论证,该方法为近似求解弯斜坡桥直线与缓和曲线交点桩号较好的方法之一.