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.     

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.     

基于AHP-TOPSIS的山区低等级公路路面破损评价方法

以山区低等级公路路面为研究对象,依据不同种类路面的破损危害性不同,拟在公路路面评价中提出路面破损指数概念,对山区低等级公路路面破损程度进行综合评价。所用模型是利用层次分析法(AHP)对不同种类的路面损毁危害性进行赋权,并利用逼近理想解排序法(TOPSIS)计算山区低等级公路路面破损程度与最优情况的贴近度,进而将山区低等级公路路面破损情况转化成区间为[0,1]的路面破损指数,其中路面破损指数越大表示路面的破损程度越高。此模型方法简单,能够运用少量数据对山区低等级公路路面的破损程度进行定量评价,可为山区公路的养护工作提供更准确的数据参照。     

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。     

水毁路基边坡丁坝护岸工程设计及其效果分析

对东江清溪河段水毁路基河段的保护进行了丁坝护岸工程设计,并采用二维数学模型对其效果进行了计算和分析,以确定工程设计方案的挑流和护岸效果,以及是否对通航造成影响。     

膨胀土地区路基水损害作用机理研究及防治对策

对我国膨胀土地区水损害机理进行了研究,归纳总结了对膨胀土路基水损害需采取排水、支挡、生物工程、避让等对策措施.     

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。     

关于规定曲率弯矩方程弯矩正负号的问题

阐明了曲率弯矩方程的物理概念及用此方程建立梁(柱)弯曲微分方程的思路,论述了在建立梁(柱)弯曲微分方程中规定弯矩正负号(简称这种规定)引起的问题:1)这种规定破坏了曲率弯矩方程所反映的物理概念及用曲率弯矩方程建立梁(柱)弯曲微分方程的思路;2)这种规定导致了梁(柱)截面内力矩与梁(柱)曲率正负号无关的错误概念;3)按这种规定建立梁(柱)弯曲微分方程须记住弯矩正负号的规定,与此种规定对应的坐标系,不考虑梁(柱)曲率的正负号等3条内容,否则得出错误结果。建议材料力学在阐述梁(柱)弯曲微分方程中删去这种规定,以避免上述问题。     

船舶浮态计算方法及船舶浮态图谱

本文用化非线性问题为线性问题的线性化方法,对非线性隐式的船舶浮态方程组进行了数值解,并在深入研究的基础上提出了两种形式浮态图谱,以便能迅速而准确地确定船舶各种不同装载情况下的浮态。本文给出了五万吨油轮“西湖”号算例。