A Study of Nonlinear Vibration of Euler-Bernoulli Beams Using Coupling Between The Aboodh Transform And The Homotopy Perturbation Method

Authors

  • PK Bera Dept. of Physics, Dumkal College, Murshidabad, India
  • Sk Das Dept. of Mechanical Engineering, IIT, Ropar, Rupnagar, India
  • P Bera School of Electronics Engineering, VIT University, Vellore, India

DOI:

https://doi.org/10.26438/ijcse/v5i12.8493

Keywords:

Aboodh Transform, Homotopy Perturbation Method, Euler-Bernoulli Beam

Abstract

Aboodh transform (AT) in combination with the homotopy perturbation method (HPM) is employed to solve the nonlinear differential equation of motion for Euler-Bernoulli beams in a unified way. Aboodh transform based homotopy perturbation method (ATHPM) is found to give analytic solutions with all perturbative corrections to both the displacement and the oscillation frequency in a very simple and straight forward manner. Here, we have also demonstrated the sophistication and simplicity of this technique.

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Published

2025-11-12
CITATION
DOI: 10.26438/ijcse/v5i12.8493
Published: 2025-11-12

How to Cite

[1]
P. Bera, S. Das, and P. Bera, “A Study of Nonlinear Vibration of Euler-Bernoulli Beams Using Coupling Between The Aboodh Transform And The Homotopy Perturbation Method”, Int. J. Comp. Sci. Eng., vol. 5, no. 12, pp. 84–93, Nov. 2025.

Issue

Vol. 5 No. 12 (2017): IJCSE December Edition

Section

Research Article

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