Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
DIFFERENTIAL TRANSFORM METHOD APPLIED TO EULER-BERNOULLI BEAM THEORY
Submission Author:
Aureliano Ribeiro , MG
Co-Authors:
Aureliano Ribeiro, José Juliano de Lima Junior, Felipe Eloy
Presenter: Aureliano Ribeiro
doi://10.26678/ABCM.COBEM2019.COB2019-2420
Abstract
The present work study on the application of the differential transform method, in the solution of diferecial equations. The objective of the work is to use the differential transform method to solve the proposed vibration problem through the Euler-Bernoulli continuous beam theory, thus determining the natural frequencies and modes of vibration for classical support conditions, comparing the results obtained by the difunctional transformation method with the results of the exact analytical solution. The differential transform method proved to be very effective in solving the differential equations proposed by the Euler-Bernoulli beam theory and a high degree of precision compared to the exact analytical solutions.
Keywords
mechanical vibrations, natural frequencies, vibration modes, numerical method
