关于利用一维波动理论计算土层地震反映传递函数的讨论

对利用一维波动理论计算土层地震反应时，将基岩假定为具有自由边界的半无限空间，输入地震记录、计算传递函数，进而计算土层地表的地震反应这一方法步骤的合理性进行了讨论。理论推演表明，从基岩面输入地震记录和计算传递函数时，应当考虑基岩和上覆土层的相互作用影响。数值算例表明，考虑与不考虑基岩和上覆土层相互作用的影响，算得的土层地面地震反应，无论加速度时程、峰值和反应谱，均存在不可忽视的差异。

A DISCUSSION ON USING ONE-DIMENSIONAL WAVE THEORY TO CALCULATE THE TRANSFER FUNCTION

In the present paper,the rationality that the bedrock is assumed to be a semi-infinite space with the free boundary for inputing the earthquake acceleration record,calculating the transfer functions,and calculating the earthquake response of the ground surface in studing the earthquake response of the soil layers by using the one-dimensional wave theory is discussed.It is shown from the theoretical deduction when the earthquake record is inputed at the top surface of the bedrock and the transfer function is calculated,the influence of the interaction between the bedrock and the soil layers should be considred.The numerical calculation shows that there are differences not to be ignored in the acceleration histories,the peak accelerations,and the response spectrum for the for the earthquake response of the ground surface calculated by considering and without considering the influence of the interaction between the bedrock and the soil layers.