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<p>This study investigates the modal characteristics of jointed plain concrete pavement (JPCP) systems resting on a two-parameter Pasternak foundation. The work addresses gaps in understanding the influence of joint stiffness and subgrade shear coupling on pavement vibration behaviour. A novel two-dimensional finite element framework is developed by incorporating discrete stiffness modelling of dowel and tie bars to realistically simulate inter-slab load transfer. The Pasternak foundation formulation accounts for both vertical stiffness and shear interaction within the subgrade, enabling improved representation of soil–structure interaction. The pavement slabs are modelled using Mindlin–Reissner plate theory with six degrees of freedom per node, allowing accurate capture of bending, shear, and rotational effects. Model accuracy is verified through mesh convergence analysis and validation against established analytical benchmarks. The numerical results identify three distinct vibration regimes. Low-frequency modes (&lt; 1&#xa0;Hz) are governed primarily by foundation properties. Intermediate bending-dominated modes (12–42&#xa0;Hz) show a reduction of up to 37.9% in natural frequency as slab thickness increases from 150 to 400&#xa0;mm. High-frequency modes (44–52&#xa0;Hz) are strongly influenced by joint flexibility and subgrade shear stiffness, with frequency reductions of 12–18% observed under decreased joint stiffness. The results indicate that the 40–50&#xa0;Hz frequency range is particularly sensitive to slab thickness, joint properties, and foundation shear coupling. The proposed framework provides a validated computational tool for evaluating resonance susceptibility and optimizing the dynamic performance of JPCP systems under aircraft-induced loading.</p>

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Modal analysis of jointed concrete pavement systems on two-parameter elastic foundations by utilizing finite element approach

  • 期刊论文

  • 发表日期：

    2026年2月3日

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  • Khair Ul Faisal Wani,
  • Abhishek Sharma,
  • Virajan Verma,
  • K. Nallasivam,
  • Karan Singh,
  • Maloth Naresh

摘要

This study investigates the modal characteristics of jointed plain concrete pavement (JPCP) systems resting on a two-parameter Pasternak foundation. The work addresses gaps in understanding the influence of joint stiffness and subgrade shear coupling on pavement vibration behaviour. A novel two-dimensional finite element framework is developed by incorporating discrete stiffness modelling of dowel and tie bars to realistically simulate inter-slab load transfer. The Pasternak foundation formulation accounts for both vertical stiffness and shear interaction within the subgrade, enabling improved representation of soil–structure interaction. The pavement slabs are modelled using Mindlin–Reissner plate theory with six degrees of freedom per node, allowing accurate capture of bending, shear, and rotational effects. Model accuracy is verified through mesh convergence analysis and validation against established analytical benchmarks. The numerical results identify three distinct vibration regimes. Low-frequency modes (< 1 Hz) are governed primarily by foundation properties. Intermediate bending-dominated modes (12–42 Hz) show a reduction of up to 37.9% in natural frequency as slab thickness increases from 150 to 400 mm. High-frequency modes (44–52 Hz) are strongly influenced by joint flexibility and subgrade shear stiffness, with frequency reductions of 12–18% observed under decreased joint stiffness. The results indicate that the 40–50 Hz frequency range is particularly sensitive to slab thickness, joint properties, and foundation shear coupling. The proposed framework provides a validated computational tool for evaluating resonance susceptibility and optimizing the dynamic performance of JPCP systems under aircraft-induced loading.