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1719856 Vol 10 · Issue 1 Download Paper

Dynamic Behavior of Euler Bernoulli beam of Arbitrary Number of Variable Elastic K-Stiffness under a Partially Distributed Moving Load

Ibikunle Albert Idowu Rafiu Bolaji Adegbola Joshua Oluwagbenga Ajilore Christiana Iluno Matthew Iwada Ekum

Subject area: Science,Engineering and Technology  ·  Area of research: Analytical Dynamics

DOI: 10.64388/IREV10I1-1719856

Abstract

Modern transport systems have undergone significant advancements, necessitating improved structural models for analyzing the dynamic response of beams under moving loads. This study investigated the response of an Euler-Bernoulli beam with variable elastic K-stiffness subjected to a partially distributed moving mass. The beam is simply supported, and the moving mass travels at a constant velocity. A mathematical model is developed, incorporating the effects of stiffness variation, inertia, and load distribution. The governing equation is solved using an analytical-numerical approach with Maple. Results indicate that the effect of a moving mass is more significant than that of a moving force, influencing beam deflections based on stiffness variations. These findings provide insights into optimizing beam designs for transport and structural applications.

Keywords

Beam Deflection; Elastic K-Stiffness; Mass Variation; Moving Load; Structural Vibration

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How to cite this paper

Ibikunle Albert Idowu, Rafiu Bolaji Adegbola, Joshua Oluwagbenga Ajilore, Christiana Iluno, Matthew Iwada Ekum "Dynamic Behavior of Euler Bernoulli beam of Arbitrary Number of Variable Elastic K-Stiffness under a Partially Distributed Moving Load" Iconic Research And Engineering Journals Volume 10 Issue 1 2026 Page 1756-1775 https://doi.org/10.64388/IREV10I1-1719856
Ibikunle Albert Idowu, Rafiu Bolaji Adegbola, Joshua Oluwagbenga Ajilore, Christiana Iluno, Matthew Iwada Ekum "Dynamic Behavior of Euler Bernoulli beam of Arbitrary Number of Variable Elastic K-Stiffness under a Partially Distributed Moving Load" Iconic Research And Engineering Journals, vol. 10, no. 1, Jul. 2026, doi: https://doi.org/10.64388/IREV10I1-1719856
Ibikunle Albert Idowu, Rafiu Bolaji Adegbola, Joshua Oluwagbenga Ajilore, Christiana Iluno, Matthew Iwada Ekum (2026). Dynamic Behavior of Euler Bernoulli beam of Arbitrary Number of Variable Elastic K-Stiffness under a Partially Distributed Moving Load. Iconic Research And Engineering Journals, 10(1). doi: https://doi.org/10.64388/IREV10I1-1719856
Ibikunle Albert Idowu, Rafiu Bolaji Adegbola, Joshua Oluwagbenga Ajilore, Christiana Iluno, Matthew Iwada Ekum "Dynamic Behavior of Euler Bernoulli beam of Arbitrary Number of Variable Elastic K-Stiffness under a Partially Distributed Moving Load" Iconic Research And Engineering Journals, vol. 10, no. 1, Jul. 2026. Crossref, https://doi.org/10.64388/IREV10I1-1719856
@article{1719856,
      author = {Ibikunle Albert Idowu, Rafiu Bolaji Adegbola, Joshua Oluwagbenga Ajilore, Christiana Iluno, Matthew Iwada Ekum},
      title = {Dynamic Behavior of Euler Bernoulli beam of Arbitrary Number of Variable Elastic K-Stiffness under a Partially Distributed Moving Load},
      journal = {Iconic Research And Engineering Journals},
      year = {2026},
      volume = {10},
      number = {1},
      pages = {1756-1775},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1719856.pdf},
      abstract = {Modern transport systems have undergone significant advancements, necessitating improved structural models for analyzing the dynamic response of beams under moving loads. This study investigated the response of an Euler-Bernoulli beam with variable elastic K-stiffness subjected to a partially distributed moving mass. The beam is simply supported, and the moving mass travels at a constant velocity. A mathematical model is developed, incorporating the effects of stiffness variation, inertia, and load distribution. The governing equation is solved using an analytical-numerical approach with Maple. Results indicate that the effect of a moving mass is more significant than that of a moving force, influencing beam deflections based on stiffness variations. These findings provide insights into optimizing beam designs for transport and structural applications.},
      keywords = {Beam Deflection; Elastic K-Stiffness; Mass Variation; Moving Load; Structural Vibration},
      month = {July},
      doi = {https://doi.org/10.64388/IREV10I1-1719856}
  }