FREE VIBRATION ANALYSIS OF EULER-BERNOULLI BEAM USING DIFFERENTIAL TRANSFORMATION METHOD

Authors

  • Agboola, O.O. Department of Mathematics, Covenant University, Canaan Land, P.M.B. 1023, Ota, Nigeria
  • Gbadeyan, J.A. Department of Mathematics, University of Ilorin, P.M.B. 1515, Ilorin, Nigeria

Keywords:

Differential transform, Vibration, Natural frequency, Mode shape

Abstract

Using differential transformation method, the analysis of the free vibration of a prismatic Euler- Bernoulli beam under various supporting conditions is carried out in this study. Some numerical examples are presented to demonstrate the efficiency and reliability of the method. The results obtained are in good agreement with the results obtained in available literature using different approaches. These results show that the technique introduced here is accurate and easy to apply.

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Published

2022-04-26