中文摘要：

基于等效线性化频域数值求解方法和二维应变空间状态理论,提出了一种地震波斜入射时二维水平成层介质的非线性地震反应分析方法。首先,建立地震波斜入射下成层弹性介质频域传递矩阵;其次,结合等效线性化方法,给出了地震波斜入射情况下二维等效剪应变求解方法,进而求得任一层的等效刚度和阻尼比,并进行迭代计算,直到满足给定的精度为止;最后根据满足精度要求的等效刚度和阻尼比进行成层介质地震反应分析,求取目标层的地震响应。对某二维水平成层场地地震波斜入射（SH波、SV波和P波）时的非线性地震反应进行了计算,并研究了成层介质场地地震反应随入射角的变化而变化的规律。

英文摘要：

Based on the equivalent linear numerical method in frequency domain and two-dimensional strain space theory, a two-dimensional equivalent linear method is developed, which can be used to calculate the nonlinear seismic response of free field in layered half-space due to oblique incidence. First, the transfer matrix for the elastic layered half-space under oblique wave incidence is established. Then, the method to obtain the equivalent shear strain under inclined waves is established, and the strain-dependent equivalent shear modulus and damp can be obtained. Next, computational iteration is implemented until the error is small enough to be accepted. Finally, the last computed shear modulus and damp are used to describe the characteristic of the layered half-space, and the seismic response of the half-space can be calculated. The nonlinear seismic analysis for one layered half-space under inclined wave（SH, SV and P） is performed, and the effect of the incident angle on the seismic response is discussed.