Impact of incident angles of earthquake shear (S) waves on 3-D non-linear seismic responses of long lined tunnels

Huang, Jian; Du, Xiuli; Zhao, Mi; Zhao, Xu

doi:10.1016/j.enggeo.2017.03.017

Cited by 95 publications

(32 citation statements)

References 35 publications

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“…where Δ is the time step; the subscript refers to the coordinate direction. According to (11), it is clear that the motion state of the fluid medium at time + 1 can be calculated by the displacement, velocity, and contact force at time . The displacement and velocity at time can be obtained by the recursive method, while the contact force depends on the constraint conditions of the fluid-solid coupling interface.…”

Section: Explicit Finite Element Time Integration Of Fluid Mediummentioning

confidence: 99%

“…Yashiro et al [4] proposed a simple classification method for the seismic damage forms of tunnels and summarized their damage mechanism. A 3D input method of shear waves was employed by Huang et al [11] to investigate the impacts of the incident angles on the seismic response of a long lined tunnel. More relevant works on the seismic behaviors of tunnels can be found in [12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear Seismic Response of a Hydraulic Tunnel Considering Fluid-Solid Coupling

Lyu

et al. 2018

Mathematical Problems in Engineering

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The seismic response of hydraulic tunnels is a complex nonlinear process. What makes the case even more interesting is that the large amount of water in hydraulic tunnels which is likely to induce considerable hydrodynamic pressure acted on tunnel structures during earthquakes. In this work, a full three-dimensional (3D) dynamic finite element model is adopted to conduct a comprehensive assessment of the seismic behaviors of a hydraulic tunnel system. In this analysis, the plastic-damage model is employed to reflect the nonlinear mechanical behaviors of the concrete lining, and a fluid-solid coupling method based on an explicit weighted residual approach is proposed to consider the effects of the hydrodynamic pressures on the seismic response of the hydraulic tunnel. The numerical results indicate that the hydrodynamic pressure contributes to a greater seismic response of the tunnel structure. When the hydrodynamic pressure is considered, the magnitudes of the maximum principal stresses are likely to increase by 50% and the displacement amplitudes are approximately 2 cm more than that of without hydrodynamic pressure. The hydrodynamic pressure exacerbates the damage degree of the tunnel structure, and the waist suffers the most severe damage.

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Section: Explicit Finite Element Time Integration Of Fluid Mediummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Nonlinear Seismic Response of a Hydraulic Tunnel Considering Fluid-Solid Coupling

Lyu

et al. 2018

Mathematical Problems in Engineering

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“…Actually, the seismic waves usually have oblique incident directions when underground structures are close to the epicenters [20], and the statistics data of recent strong earthquake records suggest that the incident angle of an actual earthquake motion at the rock site is approximately 60° [21,22]. e oblique incidence seismic waves are proved to contribute to the spatial nonuniform deformation of large-scale underground structures [23][24][25].…”

Section: Introductionmentioning

confidence: 99%

“…Naggar et al [30] investigated the effects of the seismic input angle on the moments and thrusts of cylinder tunnel linings by a proposed analytical procedure. An input method of P waves and SV waves was proposed by Huang et al [24,31] to analyze the impacts of incident angles on the seismic behaviors of the lined tunnel. More relevant works can be found in [32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

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

Lyu

et al. 2020

Shock and Vibration

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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.

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“…The seismic design and analysis of tunnels has been investigated for many decades . Many researchers have explored the seismic response of tunnels under body waves through various methods, such as model tests, numerical simulations, and analytical methods . However, it is acknowledged that the safety of shallow tunnels far from the epicenter of an earthquake is mainly compromised by Rayleigh waves .…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for longitudinal seismic response of long tunnels subjected to Rayleigh waves

Yang

Yuan

et al. 2020

Num Anal Meth Geomechanics

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The longitudinal seismic response of a long tunnel subjected to Rayleigh waves is investigated in this paper. The tunnel is assumed to be infinitely long, has a uniform cross section, and rests on a viscoelastic foundation. The free-field deformation under Rayleigh waves traveling parallel to the tunnel axis is decomposed into two directions, namely, the axial motion and the vertical motion, and transformed into dynamic loads imposed on the tunnel. Based on the Fourier and Laplace integral transform techniques, the governing equations of tunnels are simplified into algebraic equations, and the analytical solutions are obtained with the convolution theorem. The final solutions of the tunnel responses in terms of deflection, velocity, acceleration, axial force, bending moment, and shear force are investigated. The proposed solution is verified by comparison of its results and those from the finite element program ABAQUS. Further parametric analysis is carried out to investigate the influence of soil-structure relative stiffness ratio and wave frequency on dynamic longitudinal responses of the tunnel. K E Y W O R D S analytical solution, integral transform, long tunnel, Rayleigh waves

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Impact of incident angles of earthquake shear (S) waves on 3-D non-linear seismic responses of long lined tunnels

Cited by 95 publications

References 35 publications

Nonlinear Seismic Response of a Hydraulic Tunnel Considering Fluid-Solid Coupling

Nonlinear Seismic Response of a Hydraulic Tunnel Considering Fluid-Solid Coupling

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

Analytical solution for longitudinal seismic response of long tunnels subjected to Rayleigh waves

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