Three dimensional dynamics of pipelines buried in backfilled trenches due to oblique incidence of body waves

Liu, S.W.; Datta, S. K.; Khair, Kamal; Shah, A. H.

doi:10.1016/0267-7261(91)90032-u

Cited by 33 publications

(8 citation statements)

References 3 publications

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“…The amplification is lower in case of the P-wave. For both a plane harmonic P-and SV-wave, the amplitude of the normalized radial pipe displacement obtained with the 2.5D coupled FE-BE methodology is in very good agreement with the result obtained by Liu et al [6], obtained with a FE model of the pipe and part of the soil domain and a BE model of the surrounding halfspace. Second, a harmonic P-and SV-wave impinging with an angle of incidence θ = 60…”

Section: Response Of the Structuresupporting

confidence: 78%

See 1 more Smart Citation

Numerical evaluation of the dynamic response of pipelines to vibrations induced by the operation of a pavement breaker

Özdemir¹,

Coulier²,

Lak³

et al. 2013

Soil Dynamics and Earthquake Engineering

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This paper studies the response of pipelines to vibrations induced by the operation of a pavement breaker during the rehabilitation of concrete pavements. An efficient two-and-a-half-dimensional (2.5D) formulation is employed, where the geometry of the structure and the soil is assumed to be invariant in the longitudinal direction, allowing for a Fourier transform of the longitudinal coordinate y along the structure to the wavenumber k y . The dynamic soil-structure interaction problem is solved by means of a 2.5D coupled finite element-boundary element (FE-BE) method using a subdomain formulation. The numerical model is verified by means of results available in the literature for a buried pipeline subjected to incident P-and SV-waves with an arbitrary angle of incidence. The presented methodology is capable to incorporate any type of incident wave field induced by earthquakes, construction activities, traffic, explosions or industrial activities. The risk of damage to a high pressure steel natural gas pipeline and a concrete sewer pipe due to the operation of a pavement breaker is assessed by means of the 2.5D coupled FE-BE methodology. It is observed that the stresses in the steel pipeline due to the operation of the pavement breaker are much lower than those induced by the operating internal pressure. The steel pipeline behaves in the linear elastic range under the combined effect of the loadings, indicating that damage to steel pipelines close to the road due to the operation of a pavement breaker is unlikely. The maximum principal stress in the concrete pipe, on the other hand, remains only slightly lower than the specified tensile strength. The decision to use a pavement breaker should hence be taken with care, as its operation may induce tensile stresses in concrete sewer pipes which are of the same order of magnitude as the tensile strength of the concrete. Assessing the risk of damage by means of vibration guidelines based on the peak particle velocity (PPV) gives, for the particular cases considered, qualitatively similar results.

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Section: Response Of the Structuresupporting

confidence: 78%

“…The 2.5D coupled FE-BE method is verified by means of results available in the literature [6,8,10, 29] for a buried pipeline subjected to a plane harmonic P-and SV-wave.…”

Section: Problem Outlinementioning

confidence: 86%

Numerical evaluation of the dynamic response of pipelines to vibrations induced by the operation of a pavement breaker

Özdemir¹,

Coulier²,

Lak³

et al. 2013

Soil Dynamics and Earthquake Engineering

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show abstract

“…Stamos and Beskos [16] developed a special boundary element method for the seismic analysis of infinitely long lined tunnels under obliquely incident body waves, and compared it with other numerical methods in one incident case of P and SV waves. Liu et al [17] investigated the three-dimension dynamic response of pipelines subjected to the plane P and SV waves with an arbitrary incident angle to the pipe-axis, by the boundary integral representation and finite element method. Moreover, some similar work can also be found in Liao et al [18], Liang et al [19], and Guo [20].…”

Section: Introductionmentioning

confidence: 76%

“…El Naggar et al [13] described a closed-form solution for in-plant moments and thrusts in a jointed composite tunnel lining, and investigated the effect of incident angles on the moments and thrusts. Liu et al [17] investigated the three-dimension dynamic response of pipelines subjected to the plane P and SV waves with an arbitrary incident angle to the pipe-axis, by the boundary integral representation and finite element method. Wong et al [14,15] developed a mathematical model for the three-dimensional motion of a cylindrical shell to model pipes, and investigated the responses of pipes subjected to the plane seismic waves with arbitrary incident angles by the numerical simulations with a limited number of incident cases.…”

Section: Introductionmentioning

confidence: 99%

Impact of incident angles of P waves on the dynamic responses of long lined tunnels

Huang

Jin

et al. 2016

Earthq Engng Struct Dyn

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Summary The impact of the incident angle of earthquake motion on the seismic response of the long lined tunnels is studied. Based on the time‐domain finite element method with the viscous‐spring artificial boundary condition, the earthquake motion of oblique incidence is transformed into the equivalent nodal forces acting on the truncated boundary of finite element model. In the present work, the formulas of equivalent nodal forces for the plane P wave with arbitrary incident angle are deduced and implemented into the commercial software abaqus . The effectiveness of the formulas and its implementation are demonstrated by two numerical examples with the reference solutions. The proposed method is applied to investigate the seismic responses of the long lined tunnels under the obliquely incident P waves. The numerical results indicate that the seismic responses of the long lined tunnels are highly affected by the incident angles of P waves. Copyright © 2016 John Wiley & Sons, Ltd.

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“…The integral representation for the soil is based on the use of the so-called moving Green's functions for the layered viscoelastic half-space. In the paper [5], the authors validated the accuracy of the proposed method by extensive comparisons with the work by Wong et al [6] who used the cylindrical eigenfunctions method and the work by Liu et al [7] who used the boundary integral representation and finite element method for the three-dimensional cases. They also compared their results with those presented by Datta et al [8] who employed a hybrid technique combining a finite element method with the eigenfunction expansion, Balendra et al [9] who applied the method of wave function expansion and the image technique, Wong [6], and Liu [7] for the two-dimensional cases.…”

Section: Introductionmentioning

confidence: 99%

Semi-analytical Solution for the Dynamic Response of a Cylindrical Structure Embedded in a Homogeneous Half-Space

Zhao

Dalen

Barbosa

et al. 2017

Environmental Vibrations and Transportation Geodynamics

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Three dimensional dynamics of pipelines buried in backfilled trenches due to oblique incidence of body waves

Cited by 33 publications

References 3 publications

Numerical evaluation of the dynamic response of pipelines to vibrations induced by the operation of a pavement breaker

Numerical evaluation of the dynamic response of pipelines to vibrations induced by the operation of a pavement breaker

Impact of incident angles of P waves on the dynamic responses of long lined tunnels

Semi-analytical Solution for the Dynamic Response of a Cylindrical Structure Embedded in a Homogeneous Half-Space

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