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１ 前 言 *对于土层地震反应，只有当模型简单时，才可以得到封闭解析解或半解析解。假定地震输入是竖直向上入射的平面剪切波，土层地震反应问题常简化为一维波动问题，对于变参数一维土层地震反应，可从两个方面求解解析解或半解析解：一是针对单层地基，假定模型参数随
1 Foreword * For soil seismic responses, closed or semi-analytical solutions can only be obtained if the model is simple. Assuming that the seismic input is a plane shear wave that is incident vertically upward, the soil seismic response problem is often simplified as a one-dimensional wave problem. For a variable parameter one-dimensional soil seismic response, analytical solutions or semi-analytical solutions can be solved from two aspects. : First, for single-layer foundations, assume that the model parameters follow