一类a+b型浅水波方程的爆破现象和无限传播速度研究

本文研究了一类包含了Camassa-Holm(CH)和Degasperis-Procesi(DP)方程的非线性浅水波方程.首先建立了这类方程在Sobolev空间中解的局部适定性,爆破性.其次,我们讨论了这类方程的无限传播速度:如果初始值u0(·)具有紧支集,那么方程以u0(·)为初值的局部解u(t,·)不再具有紧支集,并且它在存在区间内呈现指数衰减的性质.     

准比例谐振控制算法在三相逆变电源中的应用研究

非线性负载会在三相车载逆变电源系统中引入谐波,损伤用电设备。为了降低逆变电源输出电压谐波含量,文章研究了基于准比例谐振控制算法的谐波抑制方法 ,主要抑制电源输出的5次和7次谐波。通过仿真模型和实物试验,测试了传统瞬时控制方法和准比例谐振控制方法的差别。结果表明,准比例谐振控制方法既能消除输出电压中的特定次谐波,又可满足系统动态响应性能和稳态精度要求,具有良好的谐波抑制效果。     

Integrated models of land use and transportation for the autonomous vehicle revolution

ABSTRACT

The advent of the autonomous vehicle (AV) will affect not only the transportation system, but also future patterns of land development. Integrated land use and transportation models will be critical tools in assessing the path forward with this technology. Key questions with respect to land use impacts of AVs arise from potential changes in sensitivity to travel and reduced demand for parking. It is an open question whether AVs will induce urban sprawl, or whether spatial economies of agglomeration will mitigate any reductions in travel time sensitivity. The deployment of shared fleets of AVs would likely reduce parking demand, producing yet to be explored impacts on property development within existing urban footprints. We perform a critical assessment of currently operational models and their ability to represent the adoption of AVs. We identify the representation of time in such models as a vital component requiring additional development to model this new technology. Existing model applications have focused on the discrete addition of new infrastructure or policy at a fixed point in time, whereas AV adoption will occur incrementally through time. Stated adaptation surveys are recommended as tools to quantify preferences and develop relevant model inputs. It is argued that existing models that assume comparatively static equilibrium have been convenient in the past, but are insufficient to model technology adoption. In contrast, dynamic model frameworks lack sufficient structure to maintain reasonability under large perturbations from base conditions. The ongoing advancement of computing has allowed models to move away from being mechanistic aggregate tools, towards behaviourally rich depictions of individual persons and firms. However, much work remains to move from projections of existing conditions into the future, to the evolution of the spatial economy as it evolves through time in response to new technologies and exogenous stresses. Principles from complex and evolutionary systems theory will be important in the development of models with the capacity to consider such dynamics.     

含有非线性电阻的动态电路唯一稳态的范数判定方法

以矩阵范数为工具，得到了确定含有非线性电阻的动态电路唯一稳态的条件，并给出了一个算例，其结果与理论分析吻合．本文的结果表明，含有非线性电阻的动态电路的唯一稳态．可以用矩阵范数决定．而且这个方法可以应用于任意阶的非线性电路．判据适用范围更广，结果便于应用，在理论与实用两个方面，都有重要意义．     

改进的水泥混凝土路面温度应力系数经验公式表达

现行规范水泥混凝土路面的温度应力系数需要人工查图读取，不可避免地存在主观性，也不利于计算机技术的应用。通过查图读取数据，应用双线性函数、一般化的二次方程、以及其他简单函数拟合，得到了含有13个常量的改进的温度应力系数Bx经验公式。分析表明，基于查图数据，对应99％的保证率，使用公式引起的温度疲劳应力的误差不超过水泥混凝土弯拉强度的1％。公式对温度应力系数的解析描述，不但克服了查图的缺点，也为进一步的研究工作准备了条件。     

高强钢筋混凝土非线性力学模型研究

针对高强钢筋混凝土非线性分析，对非线性分析中裂缝的模拟、钢筋混凝土材料本构关系及其非线性问题求解方法的改进进行研究，提出了适用于高强混凝土的本构曲线，并将混合法用于非线性问题，为高强钢筋混凝土梁非线性分析提供了理论基础。     

带有改编能力限制的编组计划优化模型及算法

本文用一个非线性０－１规模模型，来描述带有改编能力限制的技术直达列车编组计划问题。能力约束增加了该问题的计算难度。这是一个ＮＰＣ问题。因此，获得一个全局最优解是困难的。本文用模拟退火算法解该问题。该算法可以以很高的概率获得全局最优解。文末列出了两个数值例子，并分别同了考虑和不考虑改编能车约束两种情况下的计算结果。     

开关磁阻电机最优化设计的研究

ＳＲＭ优化设计问题属于带多个约束条件的非线性规划问题，除变量的离散性外，约束条件众多且非线性程度高，目标函数是离散跳跃的，本文着重对ＳＲＭ最优化方法进行了研究，提出了一种改进的增广Ｌａｒｇｒａｎｇｅ乘子法，与罚函数法相比，对复杂数学模型的优化具有明显的优越性。     

一般状态下悬链线方程的应用

建立悬链线方程,分析悬链受力及方程的解法,结合实例运用悬链线方程计算锚链参数,完成工程船在具体海况下的锚泊设备选型。     

论二阶Euler—Lagrange方程的形式和结构

本文讨论m个变元情形,得到结论:m≥2时,二阶方程为Euler-Lagrange方程的充要条件是它为Monge-Ampere方程,其系数满足某些条件。