无缝线路稳定的铁摩辛柯能量法分析

利用铁摩辛柯能量法推导无缝线路稳定性计算公式。将轨道视为一根具有一定横向刚度铺设在连续弹性介质(道床)的有限长梁。在临界温度压力作用下,具有初始不平顺的钢轨产生微小的横向变形,且处于微弯平衡状态。根据钢轨应变能增量与外力功的改变相等,直接运用铁摩辛柯能量法,推导出临界温度压力计算公式,编写相应的计算程序,计算具体算例,获得与统一公式计算接近的结果。将曲线半径、道床横向阻力、弹性弯曲矢度、塑性弯曲矢度等参数取不同值代入计算程序,得出各种参数变化对无缝线路稳定性的影响。并据此提出线路养护工作中保证稳定的重要原则。

CWR Track Stability Analysis with Timoshenko Method

This paper deduces the calculation formulation of CWR tracl stability with Timoshenko method.The rails are considered as beams with limited length, which have certain transversal rigidity and are laid on a continuous elastical ballast formation.Under the action of the critical temperature force, the rail with initial irregularity generates tiny transverse deformation and stays in a stable status with micro curviture. According to the fact that the increment of the rail adaptability to change is equivalent to the external work change and with Timoshenko method, the calculation formula of the critical temperature force is deducted, the corresponding calculation sequence compiled and the specific case is computed. Then a result is obtained that is close to the uniform formula. Then substituting different values of the curve radius, the ballast transversal resistance, the elastical curving vector, and the plastical curving vector into the formular, it will generate the influence of variation of the parameters against CWR stability. Thereby the important priciple is defined to guarantee the stability in track maintenance work.