Dynamic Soil–Structure–Equipment Interaction (II): Closed-form Analytical Solution for Incident Plane SH-wave Based on Flexible Foundation Model

Jin, Lu; Zhou, Wen; Liang, Jianwen; Huang, Yihe

doi:10.1080/13632469.2020.1840458

Cited by 2 publications

(1 citation statement)

References 53 publications

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“…[3,4]. For canyon topography, the present analytical solutions are Taur et al [5], Gao et al [6], Zhang et al [7], Jin et al [8][9][10], and Lee et al [11,12]. In addition, various numerical methods mainly include the finite difference method [13,14], the improved Bouchon-Campillo method [15], the boundary integral equation method [16,17], the null-field boundary integral equation method [18], the weighted residual method [19][20][21], and the boundary element method [22][23][24][25][26][27][28][29].…”

Section: Introductionmentioning

confidence: 92%

A Series Solution for 2D Scattering of Cylindrical SH-Waves by Surrounding Loose Rock Zone of Underground Tunnel Lining

Jin

Sun²,

Wang

et al. 2021

Front. Phys.

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This paper presents a closed-form series solution of cylindrical SH-wave scattering by the surrounding loose rock zone of underground tunnel lining in a uniform half-space based on the wave function expansion method and the mirror image method. The correctness of the series solution is verified through residual convergence and comparison with the published results. The influence of the frequency of the incident cylindrical SH-wave, the distance between the wave source and the lining, the lining buried depth, and the properties of the surrounding loose rock zone on the dynamic stress concentration of the tunnel lining is investigated. The results show that the incident wave with high frequency always makes the dynamic stress concentration of the tunnel lining obvious. With the increase of the distance between the wave source and the tunnel lining, the stress around the tunnel lining decreases, but the dynamic stress concentration factor around the tunnel lining does not decrease significantly but occasionally increases. The ground surface has a great influence on the stress concentration of the tunnel lining. The amplitude of the stress concentration factor of tunnel lining is highly related to the shear wave velocity of the surrounding loose rock zone. When the property of the surrounding rock (shear wave velocity) changes more, the amplitude of the stress concentration factor is larger, that is, the stress concentration is more significant.

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