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针对地铁列车运行引起的隧道和自由场动力响应的预测,提出一种计算方法。根据移动荷载作用下隧道及自由场的动力响应解,可以把地铁列车运行引起的振动问题归结到计算频率-波数域内的传递函数和频域内移动轴荷载的问题上,传递函数采用三维周期性有限元-边界元耦合的数值模型来计算,移动轴荷载主要考虑为频域内轨道不平顺激励下的轮轨接触力。利用此方法对北京地铁4号线北京大学东门站北侧区间地铁列车运行引起的隧道和自由场的振动响应进行了预测,并比较了普通无碴轨道和钢弹簧浮置板轨道的动力响应。结果表明:此方法具有很好的适用性;浮置板轨道具有很好的减振作用,但对低频段振动没有效果。
Aiming at the prediction of the dynamic responses of tunnels and free fields caused by subway trains, a calculation method is proposed. According to the dynamic response of tunnel and free field under moving load, the vibration problem caused by subway train operation can be attributed to the calculation of the transfer function in the frequency-wavenumber domain and the moving-axis load in the frequency domain. The transfer function uses the three-dimensional finite periodic Element-boundary element coupled numerical model to calculate the moving axis load is mainly considered in the frequency domain under the track irregularity of wheel-rail contact force. This method is used to predict the vibration responses of tunnels and free fields caused by subway trains in the north side of Dongmen station of Peking University Peking University Peking University. The dynamic responses of ordinary ballastless track and steel spring floating slab track are compared. . The results show that this method has good applicability. The orbit of the floating plate has a good damping effect, but it has no effect on low frequency vibration.