可压缩等熵欧拉方程组外问题的爆破

考虑等熵欧拉方程组在初始条件具有紧支集支撑下外问题的初边值问题经典解的爆破。通过创造性地构造新的泛函,当初始泛函足够大时得出了初边值问题的经典解在有限时间内爆破的结论。     

基于三阶段最小二乘法探究诱增交通量

在诱增交通量的预测中,中国现有统计数据在精度和广度上的局限性,容易造成计算结果存在遗漏变量偏误和测量误差偏误;同时变量之间的相关性容易导致计算结果存在联立性问题。为克服这些问题,采用工具变量法中的三阶段最小二乘法探讨道路供给与交通需求之间的关系。基于国家统计数据库数据,选择车辆出行距离、民用汽车拥有量和交通拥堵水平三个内生变量构建联立方程模型,采用三阶段最小二乘法对联立方程进行估计,并给出短期、长期弹性系数的求解方法。结果表明,道路建设会导致车辆出行距离增加,不能解决中国城市交通拥堵问题,而大力发展公共交通可以降低交通拥堵水平。     

Travelling Wave Solutions for Generalized KdV-mKdV Equation

A technique based on reduction of order for solving ordinary differential equations is developed to find exact solutions for a generalized KdV-mKdV equation that possesses high order nonlinear terms. The analytical expressions of several types of travelling wave solutions for the equation are obtained in terms of sin, cos, tan, cot, sinh, cosh, tanh, coth and algebraic profiles. It is shown that the wave speed of travelling wave solutions and the coefficient of low order derivative term in the equation are two main factors to determine the change in the physical structures of solutions.     

双连通域正交坐标系的生成

采用物理坐标在变换平面求解拉普拉斯方程的方法生成正交坐标系 ,提出了双连通域的边界条件的处理及其数值计算过程 .用梅子洲河段的正交网格生成作为算例 ,其结果表明 :该双连通域的正交网格生成方法合理     

用微粒群算法求解多元非线性方程组

分析了将多元非线性方程组的求解问题转化为求多元函数极值的优化问题的原理和方法;利用微粒群算法在连续空间中的优化能力求得极值点,得到方程组的近似解;给出了优化算法的具体流程;通过两个算例说明算法的可行性和有效性,实验结果表明此算法具有较高的效率和精度．     

Vehicle insurance and the risk of road traffic accidents

Given the upward trend in incidences of road traffic accidents (RTAs) over recent years, in order to mitigate the financial losses arising from such accidents, governments around the world nowadays generally encourage, or even require, drivers to purchase appropriate vehicle insurance. The primary aim of this study is to examine whether RTAs are directly related to the purchase of vehicle insurance, with our examination of data on vehicle damage insurance policyholders revealing that those drivers who purchase more insurance coverage have a higher probability of being involved in accidents, as a result of which, they will tend to submit more claims. This indicates that insurance coverage might contain information which can be used to assess the probability risk levels of RTAs. We also find that drivers with less safety awareness will tend to purchase more coverage, and that those who purchase more coverage will, in turn, tend to have more accidents and submit more claims. Our findings, which provide a number of road traffic policy implications, would appear to justify the use of the bonus–malus system.     

On maximum forces exerted by floating ice on a structure due to constrained thermal expansion of ice

The problem of interaction between a floating ice cover and an engineering structure is considered, in which the ice–structure contact forces are caused by an increase in ice temperature due to solar radiation in situations, when the lateral thermal expansion of ice is constrained. The focus is on the determination of the maximum thermally-induced horizontal force exerted on a structure wall, assuming that the magnitude of this force is bound by the smallest force capable of fracturing the ice cover due to its buckling. The ice cover is modelled as a rectangular plate of uniform thickness, with its four edges being constrained by vertical rigid walls, and it is assumed that ice deforms, and eventually fails, by the mechanism of viscous creep buckling. The plate is subjected to in-plane axial compressive stresses developing in ice to prevent its thermal expansion due to solar heating, and is transversely (vertically) bent by the forces caused by the reaction of underlying water. The floating ice is treated as a material whose elastic and viscous properties depend on temperature and the ice porosity, and therefore they vary with time and the depth of ice. The results of numerical simulations, conducted for a variety of the ice plate horizontal dimensions, thicknesses and daytime temperature-change scenarios, illustrate the evolution of the plate deflection surface prior to its failure, and show the time variation of the maximum forces exerted by ice on a structure wall as functions of the ice thickness and maximum daytime temperature rise at the top surface of ice.     

ABAQUS–OlaFlow integrated numerical model for fluid–seabed–structure interaction

In this study, a new one-way integrated numerical model for fluid–seabed–structure interaction is established by integrating the finite element software, ABAQUS, and the open-source fluid dynamics package, OlaFlow. In this new model, the generation and propagation of ocean waves as well as the seepage flow in a porous medium are controlled by OlaFlow; concurrently, the wave-induced dynamic responses of a porous seabed and marine structures are governed by ABAQUS. The reliability of this new model is validated by an analytical solution and a series of wave flume tests. The comparison results show that the new established model has high reliability and feasibility. Finally, this new integrated model is utilized for investigating the wave-induced dynamics of a composite breakwater and its seabed foundation as well as to evaluate the residual horizontal sliding displacement of the caisson of this composite breakwater under wave impact. Because this new integrated numerical model can fully utilize the advantages of both ABAQUS and OlaFlow, it is expected to have broad prospects for application in engineering practice.     

Semi-submersible wind turbine hull shape design for a favorable system response behavior

Floating offshore wind turbines are a novel technology, which has reached, with the first wind farm in operation, an advanced state of development. The question of how floating wind systems can be optimized to operate smoothly in harsh wind and wave conditions is the subject of the present work. An integrated optimization was conducted, where the hull shape of a semi-submersible, as well as the wind turbine controller were varied with the goal of finding a cost-efficient design, which does not respond to wind and wave excitations, resulting in small structural fatigue and extreme loads.The optimum design was found to have a remarkably low tower-base fatigue load response and small rotor fore-aft amplitudes. Further investigations showed that the reason for the good dynamic behavior is a particularly favorable response to first-order wave loads: The floating wind turbine rotates in pitch-direction about a point close to the rotor hub and the rotor fore-aft motion is almost unaffected by the wave excitation. As a result, the power production and the blade loads are not influenced by the waves. A comparable effect was so far known for Tension Leg Platforms but not for semi-submersible wind turbines. The methodology builds on a low-order simulation model, coupled to a parametric panel code model, a detailed viscous drag model and an individually tuned blade pitch controller. The results are confirmed by the higher-fidelity model FAST. A new indicator to express the optimal behavior through a single design criterion has been developed.     

Extended applications of track irregularity probabilistic model and vehicle–slab track coupled model on dynamics of railway systems

Track irregularities are inevitably in a process of stochastic evolution due to the uncertainty and continuity of wheel–rail interactions. For depicting the dynamic behaviours of vehicle–track coupling system caused by track random irregularities thoroughly, it is a necessity to develop a track irregularity probabilistic model to simulate rail surface irregularities with ergodic properties on amplitudes, wavelengths and probabilities, and to build a three-dimensional vehicle–track coupled model by properly considering the wheel–rail nonlinear contact mechanisms. In the present study, the vehicle–track coupled model is programmed by combining finite element method with wheel–rail coupling model firstly. Then, in light of the capability of power spectral density (PSD) in characterising amplitudes and wavelengths of stationary random signals, a track irregularity probabilistic model is presented to reveal and simulate the whole characteristics of track irregularity PSD. Finally, extended applications from three aspects, that is, extreme analysis, reliability analysis and response relationships between dynamic indices, are conducted to the evaluation and application of the proposed models.