CAJ | 학술논문

建立了大跨铁路斜拉桥的三维有限元整桥模型.利用子空间迭代法求解无阻尼自由振动的特征方程.分析计算了整桥频率和有车频率及其振型的变化趋势,模拟计算结果显示各阶有车整桥频率低于相应的无车整桥频率,并且振型也南整桥无车时,垂直面与水平面两个独立平面的振动,演变成有车时,竖向挠曲与横向弯扭的空间藕合,研究了不同停车位置和不同列车长度对斜拉桥的自振频率的影响,随着停车位置的变化,有车整桥频率发生波动,列车进桥、出桥时,整桥频率分别单调下降、上升;列车停于桥中和桥塔处,整桥频率出现驻值点,随着拖车数目的变化,有车整桥频率亦发生变化,一般趋势是:随着拖车数目的增加各阶有车整桥频率将会降低,而其变化趋势不受拖车数目影响.
건립료대과철로사랍교적삼유유한원정교모형.이용자공간질대법구해무조니자유진동적특정방정.분석계산료정교빈솔화유차빈솔급기진형적변화추세,모의계산결과현시각계유차정교빈솔저우상응적무차정교빈솔,병차진형야남정교무차시,수직면여수평면량개독립평면적진동,연변성유차시,수향뇨곡여횡향만뉴적공간우합,연구료불동정차위치화불동열차장도대사랍교적자진빈솔적영향,수착정차위치적변화,유차정교빈솔발생파동,열차진교、출교시,정교빈솔분별단조하강、상승;열차정우교중화교탑처,정교빈솔출현주치점,수착타차수목적변화,유차정교빈솔역발생변화,일반추세시:수착타차수목적증가각계유차정교빈솔장회강저,이기변화추세불수타차수목영향.
A 3D finite element model of a whole bridge was built up. The characteristic equation of its free vibration was solved with subspace iteration method. The changing trend of natural frequencies and vibration modes of the whole bridge without or with a train was computed and analysed. The results of simulation and calculation showed each natural frequency of the whole bridge with a train was lower than the corresponding one of the whole bridge without a train. Moreover, vibra-tion modes were changed into spatial coupled modes of vertical bend and lateral bend and torsion from ones in independent vertical and horizontal planes. The influences of the train different parking position and diffenert length on natural frequen-cies of the cable-stayed bridge were also studied. With change of parking positions, natural frequencies of the whole bridge with a train fluctuated. When the train entered or left the bridge , natural frequencies of the whole bridge monotonously dropped or rose respectively; when the train stopped in the middle of the bridge or near the bridge tower, natural frequencies of the whole bridge would have extreme points. With variety of the number of trailing vehicles, natural frequencies of the whole bridge changed too. It was shown that natural frequencies of the whole bridge should drop while the number of trai-ling vehicles increased. However, the changing trend of natural frequencies was not influenced by the number of trailing vehicles.