Effects of Oblique Incidence of SV Waves on Nonlinear Seismic Response of a Lined Arched Tunnel

Abstract

The incident direction of earthquake motion is an important factor affecting the seismic response of underground structures. In this study, a three-dimensional (3D) oblique incidence method of SV waves is proposed and the effects of incident angles of SV waves on the seismic response of a lined arched tunnel are evaluated. Based on wave field decomposition principle and equivalent node force method and together with viscous-spring artificial boundary, the oblique incidence method of SV waves is implemented by transforming seismic wave field into the equivalent nodal forces acting on the artificial boundaries. By deriving the distance of the incident waves and the reflected wave on free surface to artificial boundaries, this method can comprehensively consider the phase difference of the seismic wave propagation and the influence of the damping effect of the rock medium on the seismic wave propagation. The method is programed into a dynamic finite element program and its effectiveness is examined by a numerical example. Consequently, the oblique incidence method is applied to evaluate the seismic behaviors of the tunnel. The numerical results reveal that (1) the oblique incidence of the seismic wave results in a larger seismic response; (2) the response amplitudes of the stress and displacement increase with the increase of incident angles and reaching the maximum in the case of 30° incident angle; (3) the damage extent increases with an increase in the incident angles, and the oblique incidence of the seismic wave is believed to increase the spatial difference of damage distribution.

Fragility Analysis of RC Frame Structures Subjected to Obliquely Incident Seismic Waves

“…Gao [5] studied the seismic performance of bridges and concluded that the structure was more fragile when the incident angle of SV waves was 30°. Lyu [33] investigated the influence of oblique SV waves on the underground tunnel and largest seismic response was observed when the incident angle equaled 30°. Wang [34] systematically analyzed the dynamic performance of an underground powerhouse and the structural damage reached the maximum when the incident angle was 30°.…”

Amplification Effect of Ground Motion in Offshore Meandering Sedimentary Valley

“…e types of artificial boundaries include Sommerfeld boundary [54], viscous boundary [55], superposition boundary [56,57], paraxial approximation boundary [58][59][60], Higdon boundary [61], viscoelastic boundary [62][63][64], and transmitting artificial boundary [65]. e emergence of these boundaries has promoted the application of the finite element method in the seismic response of multiple sites.…”

“…Liu et al [59] recently analyzed the seismic response of reef construction sites based on viscoelastic artificial boundaries. Similarly, some recent papers also study site effects based on viscoelastic artificial boundaries [60,68]. e three-dimensional viscoelastic boundary construction and ground motion input technology referred to in this article approximate the realization of nonreflective boundary conditions by setting spring and damping elements along the three-axis axis at the unit node at the truncated boundary.…”

3D time‐domain nonlinear analysis of soil‐structure systems subjected to obliquely incident SV waves in layered soil media

“…As for the obliquely incident waves, the varying angle of incidence can induce reflections and refractions, and lead to complex wave propagation patterns such as surface waves, which in turn, can significantly affect the site response [1][2][3][4] as well as dynamic soil-structure interaction (SSI) behavior and hence the structural response. [5][6][7][8][9][10][11] Great research progress has been achieved surrounding this topic in the past few decades. As for site response analysis, Trifunac [1] and Wong and Trifunac [2] analytically studied the scattering of plane SH-waves under elastic homogeneous half-space by semicylindrical and semielliptical canyons.…”

“…As for the obliquely incident waves, the varying angle of incidence can induce reflections and refractions, and lead to complex wave propagation patterns such as surface waves, which in turn, can significantly affect the site response [ 1–4 ] as well as dynamic soil–structure interaction (SSI) behavior and hence the structural response. [ 5–11 ]…”