Maio 2014 vol. 1 num. 1 - 10th World Congress on Computational Mechanics

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ANALYSIS OF EULER-BERNOULLI AND TIMOSHENKO BEAMS BY THE BOUNDARY ELEMENT METHOD

Carrer, J. A. M. ; Mansur, W. J. ; Scuciato, R. F. ; Fleischfresser, S. A. ;

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Boundary element formulations for the static analysis of Euler-Bernoulli and Timoshenko beams are presented in this work. As the problems are stated in one dimension, the boundary is constituted only by the extreme nodes of the beam. The four usual types of beams, i.e. pinned-pinned, fixed-fixed, fixed-pinned and fixed-free are solved for a loading uniformly distributed along the length of the beam. The potentialities of the proposed formulations are assessed by comparing the numerical results with the analytical ones.

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Palavras-chave: Euler-Bernoulli beams, Timoshenko beams.,

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DOI: 10.5151/meceng-wccm2012-18818

Referências bibliográficas
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  • [6] Graff K. F., “Wave Motion in Elastic Solids”. Dover Publications, New York, 1991.
  • [7] Rao S. S., “Mechanical Vibrations”. Addison-Wesley Publishing Company, 3rd Edition, 1995.
  • [8] Timoshenko S. P., “On the Correction for Shear of the Differential Equation for Transverse Vibrations of Prismatic Bars”. Philosophical Magazine 41, 744-746, 1921.
Como citar:

Carrer, J. A. M.; Mansur, W. J.; Scuciato, R. F.; Fleischfresser, S. A.; "ANALYSIS OF EULER-BERNOULLI AND TIMOSHENKO BEAMS BY THE BOUNDARY ELEMENT METHOD", p. 2333-2349 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-18818

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