CAJ | 학술논문

基于Hertz弹性接触，推导了考虑徐变变形的轮轨接触单元动力方程，给出了简化的变截面梁单元质量和刚度矩阵，建立了列车-轨道-桥梁耦合振动方程。针对实际预应力混凝土连续梁桥，计算了徐变变形引起的不平顺(徐变不平顺)，结合随机不平顺，并考虑两者的组合，对比分析了3种轨道不平顺对系统动力响应的影响。结果表明：推导的变截面梁单元是合理有效的；桥梁共振效应显著，应按实际冲击系数进行设计，并考虑每个位置的动力响应；徐变不平顺对桥梁响应影响很小，但能明显增大车体加速度和接触力，会引起强烈的梁端冲击，应重视控制徐变变形及形成的梁端折角；随机不平顺能显著增大接触力、桥梁和车体加速度；而组合不平顺能导致系统最不利状态。
기우Hertz탄성접촉，추도료고필서변변형적륜궤접촉단원동력방정，급출료간화적변절면량단원질량화강도구진，건립료열차-궤도-교량우합진동방정。침대실제예응력혼응토련속량교，계산료서변변형인기적불평순(서변불평순)，결합수궤불평순，병고필량자적조합，대비분석료3충궤도불평순대계통동력향응적영향。결과표명：추도적변절면량단원시합리유효적；교량공진효응현저，응안실제충격계수진행설계，병고필매개위치적동력향응；서변불평순대교량향응영향흔소，단능명현증대차체가속도화접촉력，회인기강렬적량단충격，응중시공제서변변형급형성적량단절각；수궤불평순능현저증대접촉력、교량화차체가속도；이조합불평순능도치계통최불리상태。
Based on Hertz elastic contact, a wheel-rail contact element considering creep deformation is derived, and the simplified element mass and stiffness matrices for non-uniform beam element are given. The vibration equations of the train-rail-bridge interaction system are established. The track irregularity caused by the creep deformation of a real prestressed concrete continuous bridge is calculated, and considering the combination of the creep irregularity and random irregularity, the effects of the three irregularities on the dynamic responses are analyzed. The results demonstrate that the derived non-uniform beam element is reasonable and effective, and the bridge resonance effect is significant. The real impact coefficient should be used to design the bridge, and the dynamic response of each position should be considered. The creep irregularity has less effect on the bridge responses, but can increase obviously the car body acceleration and contact force and can cause sharp impact at beam end. Thus, the control of creep deformation and associated angle should be emphasized. The random irregularity can increase significantly the bridge and car body acceleration and contact force, and the combination irregularity can get the worst state of the system.