Based on the generalized Duhamel formula,the dynamic response function of time-frequency domain at any point of continuum in semi-inf inite space was derived by introducing Euler continuous supported beam model. According to the Winkler elastic foundation beam assumption,the mathematical expression of sleeper stress under the action of high speed train was obtained.The dynamic response characteristics at a specif ic monitoring point of the tunnel bottom structure were analyzed by f inite difference software FLAC 3D.Through the engineering application, the numerical simulation results based on the formula are consistent with the variation regulations of the f ield measured data,which verify the accuracy and applicability of the formula.%通过引入欧拉连续支承梁模型,基于广义Duhamel公式推导了半无限空间连续体任一点的时频域动力响应函数.根据温克尔弹性基础梁假定得出了高速列车作用下轨枕受力数学表达式.采用有限差分软件FLAC 3D分析了隧道底部结构特定监测点的动力响应特征.经工程应用,基于该公式的数值模拟计算结果与工程现场实测结果变化规律一致,验证了该公式的准确性与适用性.
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