Analysis of Damped Mechanical Systems Using Differential Transform Method and Laplace Transform

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@article{1717349,
      author = {K. K. Chidozie, B. C. Okafor},
      title = {Analysis of Damped Mechanical Systems Using Differential Transform Method and Laplace Transform},
      journal = {Iconic Research And Engineering Journals},
      year = {2026},
      volume = {9},
      number = {11},
      pages = {5776-5783},
      issn = {2456-8880},
      url = {https://www.irejournals.com/formatedpaper/1717349.pdf},
      abstract = {This study examines the effect of damping on a mechanical system modelled by a second-order differential equation using the Differential Transform Method (DTM) and the Laplace Transform. The DTM is applied as the primary technique to obtain a power series solution, while the Laplace Transform provides an exact analytical solution for validation. Numerical results show that the DTM solution converges rapidly and agrees closely with the exact solution. The findings confirm that damping significantly reduces system motion and ensures a stable equilibrium, particularly under critical damping conditions.},
      keywords = {differential transform method; laplace transform, damped mechanical system, system stability},
      month = {May},
      doi = {https://doi.org/10.64388/IREV9I11-1717349}
  }