3D dynamic analysis of a pavement plate resting on a transversely isotropic multilayered foundation due to a moving load

Ai, Zhi Yong; Xu, Chang; Zhao, Yong Zhi; Liu, Chun Lin; Ren, Guang Peng

doi:10.1016/j.soildyn.2020.106077

Cited by 12 publications

(7 citation statements)

References 38 publications

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“…We further verify the accuracy of the proposed solutions by comparing them with the existing results. 21 The subgrade in our study is degraded as a three-layered transversely isotropic elastic subgrade…”

Section: Verification For Layered Pavement-subgrade Systemsmentioning

confidence: 89%

“…Direction 3 is the normal direction of the pavement. The theory of composite materials is utilized to obtain the elastic constants for each reinforced layer, 21 and they can be expressed as:…”

Section: Fundamental Governing Equationsmentioning

confidence: 99%

“…Substantial previous research on the dynamic responses of pavement plates was mainly based on Mindlin thick plate theory considering first-order shear deformation [5][6][7][8][9][10][11] or classic Kirchhoff thin plate theory. [12][13][14][15][16][17][18][19][20][21] Considering the effects of transverse plate shear, Achenbach and his coworkers 5,6 studied the dynamic response of a thick elastic plate resting on an elastic half-space under a moving load. Chonan 7 analysed the moving load response of a double-layered infinitely thick plate on a poroelastic half-space.…”

Section: Introductionmentioning

confidence: 99%

“…By using mode superposition and Duhamel's formula, Liu et al 20 studied the dynamic response of a finite thin plate on a two-parameter viscoelastic foundation. Ai et al 21 studied the dynamic behaviours of a reinforced pavement plate under a moving load, and they concluded that the influence of the steel bars on the deflection of the plate was negligible. In addition to the two commonly used theories mentioned above, other theories have been applied to studies concerning the dynamic responses of plates under moving loads.…”

Section: Introductionmentioning

confidence: 99%

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Dynamic behaviours of continuously reinforced concrete pavement on a layered transversely isotropic saturated subgrade under moving loads

Wang

et al. 2023

Num Anal Meth Geomechanics

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This paper aims to investigate the dynamic behaviour of continuously reinforced concrete pavement (CRCP) on a multi‐layered transversely isotropic saturated subgrade subjected to a moving load. The stress‐strain relationship of the CRCP is obtained based on classic lamination theory. Then, the differential governing equations of the pavement are established by D'Alembert's principle. Combining the Fourier series expansion and integral transform technique, the displacements of the CRCP in the wavenumber domain are derived. By introducing pavement‐subgrade interface conditions, the solution to the pavement‐subgrade system is acquired with the use of the extended precise integration method (PIM). The solution in the spatial domain is further obtained by the numerical inverse transform. The presented method and the corresponding program are verified. Finally, parametric studies are conducted to determine the effects of the reinforcement ratio and position, the load velocity and the subgrade stiffness.

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Section: Verification For Layered Pavement-subgrade Systemsmentioning

confidence: 89%

Section: Fundamental Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dynamic behaviours of continuously reinforced concrete pavement on a layered transversely isotropic saturated subgrade under moving loads

Wang

et al. 2023

Num Anal Meth Geomechanics

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“…The aforementioned foundation models took the subsoils as an isotropic medium, but the natural soils possess different properties in horizontal and vertical directions due to long‐term sedimentation, and it is more rational to model the foundation by transversely isotropic (TI) medium 31,32 . Recently, Ai and Ren 33 and Ai et al 34 investigated the responses of an EB beam or a plate overlying a layered TI elastic half‐space. Chen et al 35 studied the vibrations of a plate on a TI poroelastic half‐plane to consider the groundwater in the foundation.…”

Section: Introductionmentioning

confidence: 99%

Moving load response of an axially loaded Timoshenko beam on a multilayered transversely isotropic half‐space comprising different media

Feng

Chen

2020

Num Anal Meth Geomechanics

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This paper investigates the dynamic response of an axially loaded Timoshenko beam coupled with a multilayered transversely isotropic (TI) half-space subjected to a moving load. An axial force induced by the thermal expansion is taken into account in the Timoshenko beam. The half-space considers the alternate distribution of an arbitrary number of TI elastic and poroelastic layers to model foundation soils with different properties and moisture conditions. To solve the governing equations, Fourier transform is adopted. The stratified foundation is formulated by extending an "adapted stiffness matrix method" to a more general scenario with an arbitrary number of layers. The beam is then coupled with the foundation to derive solutions to the system in the frequency-wavenumber domain. The final results in the time-spatial domain are recovered by the inverse Fourier transform. After confirming the accuracy of the method in this study, the influences of the pore water existence, the transverse isotropy of different parameters, and the axial force are investigated. It can be observed that the effect of pore water existence on the maximum beam deflection can reach 22% in this study. The transverse isotropy of the elastic and shear moduli influences the critical speed of the beam deflection by altering the phase velocity of the first wave propagation mode of the beam-foundation system. The vertical permeability coefficient is more important than the horizontal one in determining the excess pore pressure. The rise of the beam temperature (axial force) decreases the critical speed and magnifies the vibrations.

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The Scheme to Determine the Convergence Term of the Galerkin Method for Dynamic Analysis of Sandwich Plates on Nonlinear Foundations

Chen

Ding

2021

Acta Mech. Solida Sin.

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3D dynamic analysis of a pavement plate resting on a transversely isotropic multilayered foundation due to a moving load

Cited by 12 publications

References 38 publications

Dynamic behaviours of continuously reinforced concrete pavement on a layered transversely isotropic saturated subgrade under moving loads

Dynamic behaviours of continuously reinforced concrete pavement on a layered transversely isotropic saturated subgrade under moving loads

Moving load response of an axially loaded Timoshenko beam on a multilayered transversely isotropic half‐space comprising different media

The Scheme to Determine the Convergence Term of the Galerkin Method for Dynamic Analysis of Sandwich Plates on Nonlinear Foundations

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