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复杂地形对平面波散射问题频域解的数值求解方法
Numerical solution in frequency domain for scattering of plane wave by complex topography
【摘要】 详细介绍了求解无量纲频率的谱放大系数的有限元方法,并根据均匀半空间半圆凹陷地形的计算结果与解析解的对比,验证了本文方法的可行性。同时还指出,采用有限元数值模拟方法得到与无量纲频率对应的谱放大系数过程中,地震波的输入类型对结果没有影响,计算模型尺寸和介质参数的选取也很灵活,可以很方便研究复杂地形在地震波作用下不同频率的地表放大效应。
【Abstract】 In this paper, the finite element method is introduced to solve the spectral amplification factor for dimensionless frequency in detail. According to the comparison between the calculated results and the analytical solutions, the feasibility of this method is verified. The feasibility of the method in this paper is verified by the comparison between the calculated results of the homogeneous half-space semi-circular Canyon Topograph and the analytical solution. At the same time, it is pointed out that in the process of obtaining the spectral amplification factor corresponding to the dimensionless frequency by using the finite element numerical simulation method, the input type of the seismic wave has no effect on the result, and the selection of the calculation model size and medium parameters is also flexible, which can be convenient to study on the surface amplification effect of different frequencies of complex topography under the seismic waves.
【Key words】 complex topography; dimensionless frequency; spectral amplification factor; numerical simulation; Fourier transformation;
- 【文献出处】 自然灾害学报 ,Journal of Natural Disasters , 编辑部邮箱 ,2020年03期
- 【分类号】TU435
- 【被引频次】5
- 【下载频次】94