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In this paper, the seismic response of two adjacent semi-cylindrical hills for incident SV wave is calculated by finite element method. Taking the response of a single hill incident with the seismic wave incident from the left as a reference, the interaction between adjacent hills is compared and analyzed, and the following conclusions are obtained. The influence of the left hill on the right hill is greater than that of the right hill on the left hill. The left hill has a great influence on the time history peak of the right hill surface, making the peak smaller, while the right hill has little influence on the peak of the left hill surface. Different incident angles, different incident wave frequencies and different hill distance have different effects on the spectral amplification coefficient β, but a very obvious phenomenon could be found, that is, there is a critical frequencyηcr（equal 1.0 in this paper）. Wave frequencies, angles and hill distance have a very large influence on the spectral amplification coefficient when η＜ηcrbut there is no rule to follow. When the case η＞ηcr, there is little difference in the spectral amplification coefficient β for the same incident angles, incident wave frequencies and different hill distance. And the influence of different hill distance on the spectral amplification coefficient β decreases with the increasing frequency η. This critical frequency ηcr is related to the shear velocity CS of the soil and the width of the hill 2a. Therefore, when the input wave wavelength is greater than the width of the hill, the influence of adjacent hill can be ignored. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

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