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<p>In this study, a modified Vlasov model (MVM) is used to analyze beams on elastic foundations by considering first-order continuity of four-noded beams using Euler–Bernoulli assumptions. A Matlab code has been written for this formulation. The findings are compared to similar research conducted by other researchers, demonstrating strong adherence. Parametric studies are conducted to obtain results under different loading scenarios, boundary conditions, and foundation characteristics. It is established that the current formulation exhibits quick convergence, irrespective of aspect ratio, parameters of subsoil, or boundary conditions, as Euler–Bernoulli beams show exceptional performance in terms of both&#xa0;effectiveness and consistency. In general, the physical and material attributes of the beam have a smaller influence on the beam’s&#xa0;reaction on the elastic foundation compared to the soil coefficient.</p>

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A Refined Method for Beam Analysis on Two-Parameter Elastic Foundations Employing Septic Displacement Functions

  • 期刊论文

  • 发表日期：

    2025年9月18日

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  • Ashis Kumar Dutta,
  • Jagat Jyoti Mandal,
  • Debasish Bandyopadhyay

摘要

In this study, a modified Vlasov model (MVM) is used to analyze beams on elastic foundations by considering first-order continuity of four-noded beams using Euler–Bernoulli assumptions. A Matlab code has been written for this formulation. The findings are compared to similar research conducted by other researchers, demonstrating strong adherence. Parametric studies are conducted to obtain results under different loading scenarios, boundary conditions, and foundation characteristics. It is established that the current formulation exhibits quick convergence, irrespective of aspect ratio, parameters of subsoil, or boundary conditions, as Euler–Bernoulli beams show exceptional performance in terms of both effectiveness and consistency. In general, the physical and material attributes of the beam have a smaller influence on the beam’s reaction on the elastic foundation compared to the soil coefficient.