Dynamic Response Analysis of Cable of Submerged Floating Tunnel under Hydrodynamic Force and Earthquake

Wu, Zhiwen; Mei, Guoxiong

doi:10.1155/2017/3670769

Cited by 8 publications

(6 citation statements)

References 18 publications

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“…e BWR and mooring cable length are the influencing factors of the natural vibration period of the tube. Based on the assumptions of this mathematical model, the natural vibration period of the tube can be calculated by the period formula of a single pendulum shown in (15). e natural vibration periods of different BWR and mooring cable lengths can be calculated by this formula.…”

Section: Estimation Of the Resonancementioning

confidence: 99%

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Numerical Simulation of Dynamic Response of Submerged Floating Tunnel under Regular Wave Conditions

Luo

Huang

Yao

et al. 2022

Shock and Vibration

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A submerged floating tunnel (SFT) is considered an innovative alternative to conventional bridges and underground or immersed tunnels for passing through deep water. Assessment of hydrodynamic performance of SFT under regular wave loading is one of the important factors in the design of SFT structure. In this paper, a theoretical hydrodynamic model is developed to describe the coupled dynamic response of an SFT and mooring lines under regular waves. In this model, wave-induced hydrodynamic loads are estimated by the Morison equation for a moving object, and the simplified governing differential equation of the tunnel with mooring cables is solved using the fourth-order Runge–Kutta and Adams numerical method. The numerical results are successfully validated by direct comparison against published experimental data. On this basis, the effects of the parameters such as the cable length, buoyancy-weight ratio, wave period, wave steepness, and water/submergence depth on the dynamic response of the SFT under wave loading are studied. The results show that tunnel motions and cable tensions grow with wave height and period and decrease with submergence depth. The resonance of the tunnel will be triggered when the wave period is close to its natural vibration period, and the estimation formula of wave period corresponding to tunnel resonance is proposed in this paper.

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Section: Estimation Of the Resonancementioning

confidence: 99%

“…erefore, many scholars such as Pilato et al, Martinelli et al, Wu et al, and Xie et al [12][13][14][15][16] studied the dynamic response of SFT under earthquake excitation through theoretical analysis or finite element simulation. Sun et al [17,18] studied the vibration characteristics of tension legs of the SFT under random excitation.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Dynamic Response of Submerged Floating Tunnel under Regular Wave Conditions

Luo

Huang

Yao

et al. 2022

Shock and Vibration

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“…In recent decades, scientists have conducted extensive research on the response of SFT anchors. Some researchers have drawn inspiration from the action form of tension legs and hypothesized the anchor cables as elastic Euler beams [9][10][11][12][13][14]. Sun et al [9] considered the effect of parametric excitation on SFT anchor cables, while Dong et al [10] studied the effect of nonlinear excitation on the cables.…”

Section: Introductionmentioning

confidence: 99%

Effect of Stratified Flow on the Vibration of Anchor Cables in a Submerged Floating Tunnel

Xiong,

Sang,

Shi

et al. 2024

JMSE

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This study investigates the vertical-type submerged floating tunnel with anchor cables. Based on the characteristics of the anchor cables, the anchor cables are simplified as a nonlinear beam model with hinged ends. Disregarding the axial displacement of the tunnel body, the loads will cause displacements in the x and z directions of the tunnel body. The vibrations of the anchor cables are decomposed into three directions, and the parameter excitation at the connection point between the anchor cables and the tunnel body is taken into account. The equations of motion for the three degrees of freedom of the anchor cables are established using Hamilton’s principle, and then the three equations are solved using the Galerkin method and the fourth-order Runge–Kutta method. The basic characteristics of an internal wave stratified flow acting on the anchor cables are considered, as well as the influence of the incident angle of the ocean currents on the three degrees of freedom of the anchor cables. The results indicate that (1) stratified flow weakens the first- and third-order vortex-induced vibrations of the anchor cables while enhancing the second-order vortex-induced vibrations. When considering the parameter excitation of the anchor cables, the first- and third-order vibrations are weakened, while the second-order vibration remains significant; (2) the first-order vibration of the anchor cables reaches its maximum value when the transverse oscillation frequency of the tunnel body is twice its natural frequency, and the second-order vibration of the anchor cables reaches its maximum value when the transverse oscillation frequency of the tunnel body is twice its natural frequency; (3) the downstream vibration of the anchor cables increases with the increase in the incident angle of the ocean currents, the cross-flow vibration of the anchor cables decreases with the increase in the incident angle of the ocean currents, and the axial vibration of the anchor cables reaches its maximum value when the incident angle of the ocean currents is 60 degrees; (4) stratified flow weakens the lock-in phenomenon of the anchor cables, and the influence of the 1/2 stratified flow on the vibrations of the anchor cables is greater than the influence of the 1/2 stratified flow.

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“…Hong and Lee [14], Zhang et al [15], and Xiang and Yang [16,17] studied the response analysis of an SFT under impact and collision loads based on a simplified elastic support beam model of FEM. Wu and Mei [18] discussed the effects of hydrodynamics, earthquakes, and structural parameters on the dynamic response of tunnel anchors under seismic conditions. Because a few studies have been conducted on SFTs under submarine collision conditions and a numerical analysis based on the arbitrary Lagrange-Eulerian is inefficient due to the model size and calculation cost, smoothed-particle hydrodynamics (SPH) and FEM coupling methods were proposed to analyze the collision response of an SFT.…”

Section: Introductionmentioning

confidence: 99%

Response Analysis of Submerged Floating Tunnel Hit by Submarine Based on Smoothed‐Particle Hydrodynamics

Luo

Pan

Zhang

et al. 2019

Shock and Vibration

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This paper presents the theoretical investigation on the damage of the submerged floating tunnel (SFT) under extreme loads. Water was modeled by smoothed-particle hydrodynamics (SPH). Anchor cables, SFT, and submarine were modeled by the finite element method (FEM). Penetrating phenomenon in the calculation process was achieved by the penalty function, and the fluid-solid coupling effect was also considered in the simulation. The process of a submarine striking on the SFT was studied based on the commercial software. The relationships between the energy of the water, submarine, and SFT were studied. The structural and human damages were evaluated using the kinematics and kinetic parameters of the SFT according to the relevant criterion. The results indicate that the SPH-FEM coupling method is suitable to investigate the impact of the SFT in the water. The initial kinetic energy of the submarine is mainly converted into kinetic energy of the water and internal energy of the tunnel. The kinematic parameters at the impact point reach a peak value. The kinematic parameters at the anchor cables reach the minimum value, so the anchor cables can inhibit the development of disaster significantly. The SPH-FEM coupling method can be helpful for collision and explosion analysis of the SFT.

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Dynamic Response Analysis of Cable of Submerged Floating Tunnel under Hydrodynamic Force and Earthquake

Cited by 8 publications

References 18 publications

Numerical Simulation of Dynamic Response of Submerged Floating Tunnel under Regular Wave Conditions

Numerical Simulation of Dynamic Response of Submerged Floating Tunnel under Regular Wave Conditions

Effect of Stratified Flow on the Vibration of Anchor Cables in a Submerged Floating Tunnel

Response Analysis of Submerged Floating Tunnel Hit by Submarine Based on Smoothed‐Particle Hydrodynamics

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