Properties of Quaternion Algebra over the Real Number Field and Zp

The ring of quaternion over R, denoted by R[i,j,k], is a quaternion algebra. In this paper, the roots of quadratic equation with one variable in quaternion field are investigated and it is shown that it has infinitely many roots. Then the properties of quaternion algebra over Zp are discussed, and the order of its unit group is determined. Lastly, another ring isomorphism of M2(Zp) and the quaternion algebra over Zp when p satisfies some particular conditions are presented.     

汽车管芯式散热器的热力特性

对管芯式散热器试件进行传热与阻力试验研究,得出在一定雷诺数范围内管芯式散热器试件的空气侧对流换热系数和阻力系数的准则关系式,理论计算值与试验值的最大相对误差为6.61%.并分析得出水管排数对散热器试件换热性能和空气阻力的影响关系.     

子矩阵约束下AXB=C的双对称迭代解

构造了求解子矩阵约束下AXB=C的双对称解的迭代解法,利用残量正交的性质证明了算法的有限终止性,并进一步研究了求解子矩阵约束下矩阵方程问题的最佳逼近解,最后,给出了能够体现算法有效性的数值实例.     

算子法在常系数线性差分方程中的应用

讨论了常系数性非齐次差分方程特解的求解方法,当自由项f（x）=b^2pm（x）和f（x）=Pm（x）时,引入了一种更为简捷的求常系数线性非齐次差分方程特解的方法-差分算子法。     

Modeling Correlation of Family Holiday Activities Based on Structural Equation Model

Previous researches in activities-decision have more in-depth study in context of individuals, while less work has been done within household activity decisions. The structural equation model is applied to analyze the relationship of three household activity categories on holiday using data from 2009 Jinan travel survey. Six attributes were first chosen as exogenous variables for the structural equation model. Meanwhile, six activity characteristic indexes were selected as endogenous variables including activity duration time and activity times in three kinds of activity, hereby Subsistence activity, maintenance activity and discretionary activity. respectively. Then, the paper attempted to discuss the correlation of all types of activities behavior through analyzing not only the influence of household economics and family members factors on activity but the correlation of holiday activities. The research shows that complex relationships among composition of the family, economic status, and activities-decision can be captured by the structural equation model structure. Specifically, the results show that flexibility of three categories activities will affect the activities of decision-making.     

基于断裂力学方法的冷再生基层材料疲劳寿命研究

利用断裂力学方法对冷再生基层材料的疲劳裂纹扩展进行分析,选择合适的断裂力学公式及参数,进而推导出疲劳寿命预估方程,分析方程中参数的取值并给出算例.通过算例得到的结果对影响疲劳寿命的因素进行分析,并与通过试验得到的数据进行对比.结果表明,用断裂力学方法预测含裂缝冷再生基层材料的疲劳寿命更合理.     

Optimal preview game theory approach to vehicle stability controller design

Dynamic game theory brings together different features that are keys to many situations in control design: optimisation behaviour, the presence of multiple agents/players, enduring consequences of decisions and robustness with respect to variability in the environment, etc. In the presented methodology, vehicle stability is represented by a cooperative dynamic/difference game such that its two agents (players), namely the driver and the direct yaw controller (DYC), are working together to provide more stability to the vehicle system. While the driver provides the steering wheel control, the DYC control algorithm is obtained by the Nash game theory to ensure optimal performance as well as robustness to disturbances. The common two-degrees-of-freedom vehicle-handling performance model is put into discrete form to develop the game equations of motion. To evaluate the developed control algorithm, CarSim with its built-in nonlinear vehicle model along with the Pacejka tire model is used. The control algorithm is evaluated for a lane change manoeuvre, and the optimal set of steering angle and corrective yaw moment is calculated and fed to the test vehicle. Simulation results show that the optimal preview control algorithm can significantly reduce lateral velocity, yaw rate, and roll angle, which all contribute to enhancing vehicle stability.     

动态OD反推理论中的关键问题研究

针对ITS研究中动态OD矩阵难以获得的问题,回顾动态OD反推理论的发展历程,在此基础上明确了该领域研究中的四个关键问题:状态变量的选择、系统方程的确定、OD量与路段流量的关系和OD矩阵动态特性的体现,在对其进行分析的基础上提出每个关键问题的解决方法,为动态OD反推理论的进一步研究垫定基础。     

沥青路面结构行为方程中材料影响系数的确定方法

沥青路面的结构行为方程为基于性能的沥青路面结构设计方法奠定了良好的理论基础,但先前的研究仅较好地考虑了荷载、环境和结构等因素对沥青路面使用性能的影响,而对材料因素的影响考虑得较为粗略。鉴于材料影响的复杂性,论文从较为宏观的角度通过改性沥青和普通沥青结构行为方程和现场疲劳方程的建立给出改性沥青影响系数与改性-普通沥青寿命比值的关系,从而利用此关系以及通过试验获得的改性沥青和普通沥青混凝土的疲劳方程即可确定结构行为方程中的材料影响系数。     

一种新的沥青混合料疲劳性能评价方法

根据Lemaitre应变等效假设,定义沥青混合料疲劳损伤参量,并在分析沥青混合料疲劳损伤过程的基础上,定义新的疲劳破坏标准。然后通过三分点小梁弯曲疲劳试验建立基于损伤理论的沥青混合料疲劳性能评价方法。重合性检验表明,该损伤疲劳模型与荷载控制模式无关,从而可以更合理的评价混合料疲劳性能。