HOMOTOPY CURVE TRACKING FOR TOTAL VARIATION IMAGE RESTORATION

The total variation （TV） minimization problem is widely studied in image restora- tion. Although many alternative methods have been proposed for its solution, the Newton method remains not usable for the primal formulation due to no convergence. A previous study by Chan, Zhou and Chan [15] considered a regularization parameter continuation idea to increase the domain of convergence of the Newton method with some success but no robust parameter selection schemes. In this paper, we consider a homotopy method for the same primal TV formulation and propose to use curve tracking to select the regular- ization parameter adaptively. It turns out that this idea helps to improve substantially the previous work in efficiently solving the TV Euler-Lagrange equation. The same idea is also considered for the two other methods as well as the deblurring problem, again with improvements obtained. Numerical experiments show that our new methods are robust and fast for image restoration, even for images with large noisy-to-signal ratio.Mathematics subject classification： 65N06, 65B99.

Derailment risk and dynamics of railway vehicles in curved tracks： Analysis of the effect of failed fasteners

The effect of the fastener＇s failure in a railway track on the dynamic forces produced in the wheel-rail contact is studied using the simulation software VAMPIRE to assess the derailment risk of two different vehicles in two curves with distinct characteristics. First, a 3D-FEM model of a real track is constructed, paying special attention to fasteners, and calibrated with displacement data obtained experimentally during a train passage. This numerical model is subsequently used to determine the track vertical and lateral stiffness. This study evidences that although the track can practically lose its lateral stiffness as a consequence of the failure of 7 consecutive fasteners, the vehicle stability would not be necessarily compromised in the flawed zone. Moreover, the results reveal that the uncompensated acceleration and the distance along which the fasteners are failed play an important role in the dynamic behavior of the vehicle-track system, influencing strongly the risk of derailment.

Analysis of the Lateral Stability of a Truck on the NRC Curved Track Simulator

The development of experimental facilities for rail vehicle testing at the NRCCentre for Surface Transportation Technology is being complemented byanalytic studies. The purpose of this effort has been to gain insight into thedynamics of rail vehicles in order to guide the development of the Curved TrackSimulator (CTS) and to establish an analytic framework for the design andinterpretation of tests to be conducted on the CTS. The work described hererepresents an initial effort towarde meeting these objectives.Parametric study results using linear model of freight truck on the CTSshowed that (a) increasing roller radius increases critical speed (b) increasingthe wheel initial cone angle will decrease the hunting speed (c) increasing theroller cant increases hunting speed (d) decrowning of the wheelset on the rollerewill not effect the hunting speed but induces longitudinal destabilzing horizontalforces at the contact and (e) lozenging of wheelset on the rollers induces a yawmoment and the hunting speed decreases with increasing wheelset yaw angle.

Progress on wheel-rail dynamic performance of railway curve negotiation

Recent advances on wheel-rail dynamic performance of curve negotiation are reviewed in this paper. There are four issues, the mechanism and calculation method of curve negotiation, the analysis and assessment of dynamic performance of vehicle, the effect of vehicle parameters on dynamic performance, and the influence of railway parameters on dynamic performance. The promising future development of wheel-rail coupled dynamics theory is analyzed in the research of curve negotiation. The framework and technique matching performance of wheel-rail dynamic interaction on the curved track are put forward for modem railways. In addition, the application of performance matching technique is introduced to the dynamic engineering, in which the wheel load is reduced obviously when the speed of train is raised to 200-250 km/h.

Effect of High-Frequency Vertical Vibration of Track on Formation and Evolution of Corrugations

The effect of high-frequency curved track vibrations in the vertical direction on the formation and development of rail corrugation was analyzed. Kalker抯 non-Hertzian rolling contact theory was modified and used to calculate the frictional work density on the contact area of the wheel and rail in rolling when a wheelset is steadily curving. The material loss unit area was assumed to be proportional to the frictional work density to determine the wear depth of the contact surface of the rail. The combined influences of the corrugation and the coupled dynamics of the railway vehicle and track were taken into consideration in the numerical simulation. For simplicity, the model considered one fourth of freight car without lateral motion, namely, a wheelset and the equivalent one fourth freight car body above it. The Euler beam was used to model the rails with the track structure under the rails replaced with equivalent springs, dumpers, and mass bodies. The numerical results show that the high-frequency track vibration causes formation of the initial corrugation on the smooth contact surface of the rail when a wheelset is steadily curving. The corrugation wave length depends on the frequencies and the rolling speed of the wheelset. The vibration frequencies also affect the depth and increase the corrugation.

考虑扣件失效影响的缩减高速铁路车辆-曲线无砟轨道耦合动力学模型

近年来,扣件故障在我国高速铁路线路曲线段中经常出现.为了更好地对扣件故障进行处理,有必要分析扣件故障对高速铁路车线耦合动力学响应的影响.本文基于缩减方法建立了高速铁路车线耦合动力学模型,其中钢轨采用截短梁方法和曲线梁理论进行建模,而轨道板采用4节点Kirchhoff-Love版单元进行建模.本文首先通过不同传统模型验证了车线耦合动力学模型,然后基于该车线耦合动力学模型分析了扣件失效对车线耦合动力学响应的影响.在分析过程中,本文分别考虑了不同扣件失效数目和扣件失效类型.由计算结果可见,由弹条断裂引发的扣件故障对车线耦合动力学响应影响较小,但是由扣件橡胶板损坏引发的扣件故障对车线耦合动力学响应影响明显,因此必须严格防止此类扣件故障.