Dynamic response of an isosceles trapezoidal railway embankment to an SH wave in a semispace anisotropic soil medium Dynamic response of an isosceles trapezoidal railway embankment

• Published in: Journal of engineering mathematics Vol. 150; no. 1
• Main Authors: Niu, Dexin, Deng, Yahong, Mu, Huandong
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.02.2025
• Subjects: Applications of Mathematics; Computational Mathematics and Numerical Analysis; Mathematical and Computational Engineering; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Theoretical and Applied Mechanics; Amplification effect; Railway embankment; Wave scattering; Wave function expansion method; Anisotropic medium
• ISSN: 0022-0833; 1573-2703
• DOI: 10.1007/s10665-024-10422-7

In this study, the anisotropic nature of the medium is used to simulate the stratigraphic conditions. Taking the embankment section of a high-speed railway as the object of study, the wave function expansion method is used to obtain the level solution for inverse plane shear wave scattering of the anisotropic half-space medium-waisted ladder form of the embankment. Then, by changing the anisotropy parameter of the soil medium, the effects of different incidence angles, dimensionless frequencies, embankment slopes, and anisotropic parameters on the isosceles trapezoidal form of the embankment structure are investigated. The results show that the anisotropy of the medium not only has a significant effect on the surface displacement of the embankment site but also makes other parameters more sensitive to the site effect, as manifested by the larger amplitude of the surface displacement caused by the incident wave along a certain angle at a certain dimensionless frequency compared to that of the isotropic medium. The embankment structure plays an important role in vibration damping and isolation during the propagation of vibration waves in the horizontal direction, and this phenomenon becomes less obvious with larger dimensionless frequency.