An Analytical Investigation of the Topographic Amplification Effects of Slopes under Seismic Loads
Publication: International Journal of Geomechanics
Volume 24, Issue 3
Abstract
In this paper, an analytical approach is proposed to investigate the topographic amplification effects of slopes under seismic loads. The method of region decomposition and matching was adopted to decompose the whole research region into two subregions. Wave function series solutions that satisfied the boundary conditions of stress and displacement of the subregion under the excitation of plane SH waves were constructed. Wave function analytical solutions for slope models under the excitation of plane SH waves were derived. The appropriate number of truncated terms were determined by convergence tests to ensure the accuracy and validity of the wavefield displacement function. The analytical solutions obtained from the proposed method agreed with the numerical solutions. In addition, based on the proposed method, the effects of slope angle, slope height, dimensionless frequency, and the incidence angle of seismic waves on the peak displacement amplification factor were quantitatively studied.
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Data Availability Statement
All data, models, or codes that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The work is supported by the National Natural Science Foundation of China (Nos. 12272280 and 51809198) and Fundamental Research Funds for the Central Universities (No. 2042018kf0008).
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Published In
International Journal of Geomechanics
Volume 24 • Issue 3 • March 2024
Copyright
© 2023 American Society of Civil Engineers.
History
Received: Apr 4, 2023
Accepted: Sep 11, 2023
Published online: Dec 29, 2023
Published in print: Mar 1, 2024
Discussion open until: May 29, 2024
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