微分法在有限元分析中的应用

基于有限元原理及结构的平衡微分方程,提出了一种求解结构单元形函数的方法。首先,根据结构单元的变形微分方程求解结构变形的常系数解析式;其次,根据单元的边界条件求解相应的系数表达式,并将求出的系数表达式代到解析式中,形成关于单元局部坐标的解析式;最后,提取单元节点广义位移向量,形成单元的形函数矩阵。运用所提出的方法对结构典型杆单元、梁单元的形函数进行求解后发现,所获得的形函数与相关文献提供的形函数完全一致,表明所提方法正确有效,并且同样适用于其他结构单元形函数的求解,从而为有限元的进一步推广和拓展提供了一条行之有效的途径。     

装配式斜板桥病害分析及改进措施

阐明了装配式斜板桥经过运营后存在的典型病害，分析其产生的主要原因，并提出类似工程预防此类病害的改进措施。     

大跨度桥梁损伤诊断研究

建立简化的汀九斜拉桥有限元模型 (FEM) ,计算该桥的动力特性 ,利用完备模态应变能法 (CMSE)进行该桥的损伤诊断数值仿真试验。结果表明简化的汀九斜拉桥 FEM能够反映真实结构的动力特性 :完备模态应变能法适用于低频密频的大跨度斜拉桥、悬索桥等柔性结构 ,并且只需少量低阶模态即可保证结构损伤诊断精度     

关于非齐次贝塞尔方程的奇边值问题

本文给出了贝塞尔方程的格林函数,并借助格林函数导出了非齐次贝塞尔方程的奇边值问题的解的表达式.     

沥青混凝土路面防水剂路用性能试验研究

目前,沥青混凝土路面在我国高速公路建设中得到了广泛的推广和应用,而水损害是沥青混凝土路面早期破坏的主要原因之一。文章通过对沥青混凝土路面防水剂防水性能进行对比试验,表明沥青混凝土防水剂可以有效的封堵沥青混凝土内部孔隙,防止水分进入混凝土内部,可以起到防水路面水损害的作用,同时指出沥青混凝土防水剂对路面抗滑性能存在负面影响等应注意的问题。     

Application of analytical model in the prediction of dynamic responses and fatigue damage of flexible risers: Part II – Dynamic analysis of flexible risers in large-scale domain using a direct moment correction method

In recent years, the dynamic responses of flexible risers have been the focus of many researchers. Most flexible risers undergo a substantial level of irregular motion from environmental loadings, which involves a continuous slip of helical wires. The slip of helical wires especially leads to a hysteretic effect by reducing the bending stiffness, making it hard to predict the dynamic responses of flexible risers. The current study, as an extension to Part I, presents a new large-scale dynamic analysis method for flexible risers. The suggested method creates a large-scale model for the dynamic analysis that considers a geometric and bending nonlinearity of flexible risers. The kinematics of each beam element is formulated based on a Green-Lagrangian strain and the interaction with the seabed, providing a realistic analysis of flexible risers. In particular, the current study introduces a direct moment correction method that modifies the internal force vector using an improved analytical model. The improved analytical model is assigned at each node of the large-scale model and estimates an accurate bending hysteresis curve considering the effect of shear deformation and varying tension. The suggested method corrects the bending moment and shear force of all beam elements based on the bending hysteresis curves obtained from the improved analytical model, by which a complex bending behavior of flexible risers is reflected in a large-scale domain. As a result, this study achieves a more accurate prediction of the dynamic responses and fatigue damage of flexible risers. A new dynamic analysis program, called OPFLEX, is developed herein based on the suggested analysis method. Using the developed program, the current study conducts several numerical investigations to identify the effect of the shear deformation and varying tension. Consequently, it is confirmed that the shear deformation of internal layers reduces the fatigue damage of helical wires by delaying the increase of internal stress. It is also identified that the effect of varying tension deteriorates the fatigue life of flexible risers through a continuous change of contact pressure during bending.     

粘性土地基强夯地面变形的模型试验研究

根据相似原理,设计采用70 cm×70 cm×70 cm（长×宽×高）的模型箱,制备含水率为20 %的粘性土,通过3种不同的锤径以及施加3种不同的能量组合进行夯击试验,试验中观测了夯点的地面变形与夯坑深度,建立了夯坑深度与所取得的土质参数和施工参数间的相关方程,并用工程实例对拟合的方程进行验证。结果显示:该方程可用来推算现场强夯时的夯坑深度,还可推算场地平均夯沉量。     

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.     

沥青路面永久变形设计方程研究

对于半刚性基层、刚性基层、柔性基层、组合式基层的沥青路面典型结构,计算出不同季节时不同深度处沥青混合料的温度和动模量,采用分层总和法计算出路面总永久变形,计算出平均塑性应变点的深度和弹性应变,并在路面总永久变形和季节平均气温、面层厚度、平均塑性应变点的弹性应变以及标准轴载累积作用次数间建立了回归公式,相关系数（R2）均在0.93以上,最后建立了沥青路面永久变形预估方法。结果表明,可以利用本文的方法来代替分层总和法预估沥青路面的永久变形,但前者更简单实用。     

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.