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Deflections Governed by the Cyclic Strength of Rigid Pavement Subjected to Structural Vibration Due to High-Velocity Moving Loads

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Abstract

Objective

In the present study, the deflections governed by cyclic strength due to structural vibrations caused by high-velocity moving load on a rigid pavement have been evaluated.

Methods

A novel finite-element-based cyclic response model has been proposed in terms of velocity-induced stress ratio for the design of rigid pavement. It consists of a characteristic strength and the number of cycles of moving load. The central deflection of the rigid pavement is captured for varied loading inputs, velocities, and pavement thicknesses.

Results

The velocity-induced deflection zones have been identified for a set of selected velocities. A set of displacement contours have been observed along with a displacement shift and phase transformation in principal stress fields beyond a critical value. The vibrational compounded stress transfer mechanism (V-CSTM) for rigid pavement design has been presented using the thickness of the pavement, velocity, and intensity of the moving load. The results have been compared within the output obtained from numerically varied parameters utilizing codal provisions. The cyclic strength of the rigid pavement has been found as 0.01-0.2% of the characteristic strength. The findings imply that the rigid pavement will withstand 1015–109 cycles of moving load within the range of input parameters.

Societal benefits

The research outcomes provide a classified interpretation for the field engineers and practitioners to evaluate the life of rigid pavement supported by granular bases for construction practices.

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Data Availability

All data used are appended (available in the supplementary data section) or included in the submitted article.

Abbreviations

\({\varepsilon }_{p}\) :

accumulated permanent strain

\({\varepsilon }_{r}\) :

rebound strain

N :

loading repetition

\({\varepsilon }_{pn}\) :

permanent strain after N loading cycle

\({\varepsilon }_{r} \left(1\right)\) :

rebound strain after one loading cycle

\({f}_{ ck}\) :

characteristic strength of pavement material

\({\sigma }^{tr}\) :

trial stress

\(G\) :

shear modulus

\({S}_{r}\) :

stress ratio

\(v\) :

the velocity of the moving load

\(\mu \), \(\alpha \), \(S\), a, b, p :

empirical parameters

[M]:

mass matrix

[C]:

damper matrix

[K]:

stiffness matrix

{ẍ}:

acceleration vector

{ẋ}:

velocity vector

{x}:

displacement vector

{FE}:

externally prescribed force vector

\(\left\{{\text{Q}}_{\text{B}}\right\}\) :

body force in terms of elemental volume

\(\left\{{\text{Q}}_{\text{I}}\right\}\) :

inertial force in terms of elemental volume

{QE}:

externally prescribed force in terms of elemental volume

\({\text{N}}_{\text{i}}^{\text{N}}\) :

shape function

\(\vartheta _{\alpha }^{I}\) :

hourglass base vectors

\({\text{W}}_{\text{B}}\) :

work done by body force

\({\text{W}}_{\text{I}}\) :

work done by inertial force

\({\text{W}}_{\text{E}}\) :

work done by externally prescribed force

\({\text{M}}_{\text{C}}^{\text{NM}}\) :

mass matrices obtained by consistent use of interpolation

\( I_{N}^{F} \) :

inertial force vector

\({\text{Q}}_{\text{F}}^{\text{N}}\) :

external force vector

\( \Phi ,\psi \,{\text{and}}\,\Gamma \) :

free parameters possessing the characteristics of damping

D:

time-dependent damping factor (DF) matrix

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Acknowledgements

The financial support received under the research project grant [F. No. DTU/IRD/619/2105] of Delhi Technological University, Delhi, and the availability of a workstation with ABAQUS from the mechanical engineering department, Delhi Technological University, Delhi, is thankfully acknowledged. The authors also acknowledge Mrs. Sheetal (TGT), Kendriya Vidhyalya-II, Pathankot, Punjab for proofreading and pointing out some crucial grammar and sentence structure.

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Authors and Affiliations

  1. Department of Civil Engineering, Delhi Technological University, Delhi, India

    Yakshansh Kumar, Ashutosh Trivedi & Sanjay Kumar Shukla

  2. School of Engineering, Edith Cowan University, Joondalup, Perth, Australia

    Sanjay Kumar Shukla

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  1. Yakshansh Kumar
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Correspondence to Yakshansh Kumar.

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Kumar, Y., Trivedi, A. & Shukla, S.K. Deflections Governed by the Cyclic Strength of Rigid Pavement Subjected to Structural Vibration Due to High-Velocity Moving Loads. J. Vib. Eng. Technol. 12, 3543–3562 (2024). https://doi.org/10.1007/s42417-023-01063-8

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