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移动荷载作用下多界面弹性层渡越辐射波场及能量分布研究

STUDY ON THE TRANSITION RADIATION FIELD AND ENERGY DISTRIBUTION OF MULTI-INTERFACE ELASTIC LAYER UNDER MOVING LOAD

  • 摘要: 过渡段动力稳定性问题已成为制约400 km/h及以上高铁路基设计的关键难题, 亟需从波动和能量的角度探究由基础非均匀引发的线路系统动力响应放大机理. 基于此背景, 本文结合渡越辐射理论并考虑辐射波在界面间的复杂传播, 提出移动荷载作用下多界面弹性层渡越辐射波场求解方法, 用于模拟计算及分析过渡段轨下基础刚度非均匀直接造成的附加位移及附加能量分布, 揭示列车速度提升造成过渡段动力响应放大现象的内在机理. 结果表明: 随着列车荷载速度不断提高, 轨下基础附加位移及能量不断增加且增长幅度越来越大, 当速度接近临界速度时, 即由120 m/s (432 km/h)提升到130 m/s (468 km/h)过程中, 附加位移峰值增幅为119.49%, 且同一时刻附加位移在总位移中占比升为45.88%, 成为危害变形控制的主要风险源; 附加能量峰值(渡越辐射能)增幅最高为604%, 同时, 总渡越辐射能与总应变能的比值上升为43.55%, 这表明过渡段轨下基础刚度非均匀变化造成的附加能量成为整体系统能量分布中难以忽略的部分, 共同对过渡段变形控制及长期服役性能维护提出了挑战.

     

    Abstract: The dynamic stability of subgrade in transition zones has become a key problem restricting the design of high-speed railway subgrade with a speed of 400 km/h and above. It urgent to explore the amplification mechanism of system dynamic response caused by non-uniform foundation from the perspective of wave and energy. Based on this background, this paper combines the transition radiation theory and considers the complex propagation of radiation waves between interfaces, proposing a solution method for the transition radiation wave field in multi-interface elastic layer under moving load. This model can be used to simulate and analyze the additional displacement and energy distribution directly caused by the non-uniform stiffness of the subtrack foundation of the transition zones, revealing the inherent mechanism of the amplification of dynamic response in the transition section with the increase of load velocity. The results show that as the load velocity continues to increase, the additional displacement and energy of the sub-track foundation increase continuously and the growth rate becomes larger and larger. When approaching the critical speed, from 120 m/s (432 km/h) to 130 m/s (468 km/h), the peak increase in additional displacement is 119.49%. The proportion of additional displacement in the total displacement at the same time has increased to 45.88%, which indicates that additional displacement has become the main risk source for controlling deformation. On the other hand, the peak increase in additional energy (transition radiation energy) was the highest at 604%. In addition, the ratio of total transit radiation energy to total strain energy increases to 43.55%, indicating that the additional energy caused by non-uniform changes in the stiffness of the sub-track foundation has become an important part of the overall system energy distribution, posing challenges to deformation control and long-term service performance maintenance in the transition zones of high-speed railway.

     

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