Analytical solutions for circular tunnels under longitudinally propagating shear waves based on improved foundation beam models considering tangential interaction

Zhao, Mi; Jiao, Hongyun; Huang, Jian; Li, Huifang; Du, Xiuli; Wang, Junjie

doi:10.1016/j.tust.2022.104444

Cited by 17 publications

(3 citation statements)

References 41 publications

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“…systematically analyzed the deformation characteristics and failure modes of jointed pipelines in different configurations. In addition, relevant scholars have studied the deformation response of tunnels induced by fault and achieved great result in the analytical solution aspect 54–58 . These research results are of certain guidance to this paper, but the theories cannot be applied to pipeline with joints.…”

Section: Introductionmentioning

confidence: 78%

Analytical solution for buried pipeline deformation induced by normal and reverse fault considering structural joint influence

Zhang,

Feng,

Zhu

et al. 2024

Num Anal Meth Geomechanics

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Previous studies take less account of analytical solution analysis for buried pipeline under the action of active fault. Furthermore, current theoretical studies of fault‐pipeline interactions generally treat the structure as continuous pipeline, with less attention given to the effect of joints. This paper provides an analytical method to estimate the deformation and internal force of jointed pipelines under normal and reverse fault. By introducing the simplified soil deformation model and error function, the soil greenfield deformation curves under the influence of normal and reverse fault are obtained. Considering the interaction between the pipeline structure and the disturbed soil, the two‐parameter Pasternak foundation model is adopted to analyze the forces on pipeline infinitesimal elements. Then, the mechanical response of the jointed pipeline structure due to the fault additional load is solved by finite difference method. The accuracy of the presented analytical solution is verified by comparisons with observed data of model test and 3D numerical simulation results. Finally, the parametric analyses are performed to estimate the influence for the characteristics of the foundation, fault and joint, including subgrade shear stiffness, subgrade reaction coefficient, fault dip, joint rotational stiffness, joint spacing, and intersection of fault and pipeline.

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Section: Introductionmentioning

confidence: 78%

Analytical solution for buried pipeline deformation induced by normal and reverse fault considering structural joint influence

Zhang,

Feng,

Zhu

et al. 2024

Num Anal Meth Geomechanics

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“…The traditional elastic foundation beam model ignores the tangential interaction between a structure and the ground and only considers the normal interaction. Zhao et al [21,22] improved the traditional elastic foundation beam model by considering the tangential interaction, wherein the normal and tangential interactions are solved independently, as represented by the Winkler foundation spring and rotation spring. In other words, when solving for tangential interactions, the effects of normal interactions should be ignored.…”

Section: Introductionmentioning

confidence: 99%

An Improved Winkler Foundation Modulus for a Beam in a Full Space

Xu,

Zhao,

Huang

et al. 2024

Applied Sciences

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The Winkler foundation modulus is key to evaluating the response of underground structures using the elastic foundation beam model. In this paper, an improved formula of the Winkler foundation modulus for a beam embedded in a full space is proposed to overcome the limitation of inconsistent assumptions in previous studies. To achieve this goal, the bending responses of the beam are obtained using the elastic foundation beam model and three-dimensional elastic continuum model, respectively, wherein a consistent assumption is proposed that tangential interactions at the beam–ground interface are ignored in the two models. In addition, as deformation of the site is an important source of the underground structure response, the beam is applied to standard soil displacement of the free field on the Winkler foundation to improve the accuracy of the Winkler modulus obtained by fitting solutions based on the concentrated force on the beam. The formula for the Winkler foundation is obtained by equating the first zero of the bending moment in the two models. The Winkler foundation modulus is verified by comparing the results with numerical solutions and previous studies.

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“…Wang et al [5] established a threedimensional model of a tunnel and analyzed the influence of blasting vibrations on adjacent tunnels. Zhao et al [6] established a three-dimensional model and proposed an improved foundation beam model that could be used to evaluate the longitudinal response of circular tunnels in seismic areas. Liao et al [7] established a three-dimensional model based on a thermal-hydraulic-mechanical (THM) coupled anisotropic damage model to explore the heat extraction process of hydraulic fracturing in hot dry rocks.…”

Section: Introductionmentioning

confidence: 99%

Modularized and Parametric Modeling Technology for Finite Element Simulations of Underground Engineering under Complicated Geological Conditions

Wu,

Zhuo,

Pei

et al. 2024

CMES

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The surrounding geological conditions and supporting structures of underground engineering are often updated during construction, and these updates require repeated numerical modeling. To improve the numerical modeling efficiency of underground engineering, a modularized and parametric modeling cloud server is developed by using Python codes. The basic framework of the cloud server is as follows: input the modeling parameters into the web platform, implement Rhino software and FLAC 3D software to model and run simulations in the cloud server, and return the simulation results to the web platform. The modeling program can automatically generate instructions that can run the modeling process in Rhino based on the input modeling parameters. The main modules of the modeling program include modeling the 3D geological structures, the underground engineering structures, and the supporting structures as well as meshing the geometric models. In particular, various cross-sections of underground caverns are crafted as parametric modules in the modeling program. The modularized and parametric modeling program is used for a finite element simulation of the underground powerhouse of the Shuangjiangkou Hydropower Station. This complicated model is rapidly generated for the simulation, and the simulation results are reasonable. Thus, this modularized and parametric modeling program is applicable for three-dimensional finite element simulations and analyses.

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Analytical solutions for circular tunnels under longitudinally propagating shear waves based on improved foundation beam models considering tangential interaction

Cited by 17 publications

References 41 publications

Analytical solution for buried pipeline deformation induced by normal and reverse fault considering structural joint influence

Analytical solution for buried pipeline deformation induced by normal and reverse fault considering structural joint influence

An Improved Winkler Foundation Modulus for a Beam in a Full Space

Modularized and Parametric Modeling Technology for Finite Element Simulations of Underground Engineering under Complicated Geological Conditions

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