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。     

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.     

变系数BBM方程的精确解

通过推广的F-展开法研究了变系数BBM(Benjamin,Bona and Mahony)方程的精确解,通过线性变换将变系数BBM方程约化为标准椭圆方程形式,由标准方程的行波解的结构求出原方程的解,从而得到了变系数BBM方程丰富的精确解.同时研究了解随参数的变化而变化的情况.     

基于旋量理论的空间机器人动力学建模研究

在旋量理论和Kane方程的理论基础上,将旋量理论和Kane方程相结合,找到理论的结合点——偏速度,即雅可比矩阵,引入了偏速度旋量的概念;介绍了求解机器人雅可比矩阵的新方法——将矢量积和旋量理论相结合的方法,推导出了基于旋量理论的Kane动力学方程。     

基于RANSE的螺旋桨模型敞水数值模拟方法研究

本文采用基于RANSE的船舶水动力学CFD求解器,开展螺旋桨模型敞水数值模拟研究,求解器采用基于Laplace权函数插值计算的交界面方法,实现不同计算域之间的耦合计算。以典型螺旋桨模型为对象,研究不同计算方法、网格形式,以及交界面位置对计算结果的影响,通过多方案的对比计算与分析,验证了Laplace权函数插值方法能够提高螺旋桨敞水计算稳定性,保证计算精度。同时给出了螺旋桨敞水性能数值计算的推荐方案,并采用推荐计算方案开展了螺旋桨模型敞水性能计算应用测试,结果与试验数据符合良好,初步建立了基于该水动力学CFD求解器的螺旋桨模型敞水数值模拟方法。     

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。