FREE VIBRATION ANALYSYS OF A BEAM RESTING ON WINKLER ELASTIC FOUNDATION THROUGH THE SUMUDU TRANSFORM METHOD

XIV International Conference on Industrial Engineering and Environmental Protection – IIZS 2024, str. 23-27

 

АУТОР / AUTHOR(S): Svetlana Lilkova-Markova , Dimitar Lolov 

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DOI: 10.46793/IIZS24.023LM

САЖЕТАК / ABSTRACT:

In the article are determined the free vibration characteristics of a beam lying on a Winkler elastic foundation. This well-known problem is solved by employing the Sumudu transform method to convert the fourth-order partial differential equation for the beam’s natural vibrations into an algebraic equation. The solution assumes that the beam’s free vibrations are harmonic. The obtained results are compared with those obtained using the finite element method.

КЉУЧНЕ РЕЧИ / KEYWORDS:

Sumudu transform method, Free vibration, Winkler elastic foundation, vibration characteristics

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